The present invention relates to technology for controlling a synchronous motor including a field and an armature. The present invention relates, in particular, to technology for controlling the synchronous motor on the basis of the so-called primary magnetic flux, which is a composite of a field magnetic flux generated by the field and a magnetic flux due to armature reaction generated by an armature current flowing through the synchronous motor.
Various types of control of a synchronous motor based on a primary magnetic flux, which is the so-called primary magnetic flux control, have been proposed. Briefly stated, the primary magnetic flux control is control of the primary magnetic flux of the synchronous motor in accordance with a command value thereof (hereinafter, referred to as a “primary magnetic flux command”) to control a phase difference (load angle) of a phase of the primary magnetic flux from a phase of a field magnetic flux so that the phase difference becomes a predetermined phase difference, for example. Specifically, a command value of a rotational speed (hereinafter, “rotational speed command”) of the synchronous motor and the primary magnetic flux command are controlled to control a voltage applied to the synchronous motor, to thereby indirectly control a current flowing through the synchronous motor and, further, torque to obtain a desired rotational speed.
Japanese Patent No. 5494760 proposes technology for correcting a deviation of the load angle from the predetermined phase difference. Patent Japanese Patent No. 5556875 proposes technology for generating the primary magnetic flux command. Japanese Patent No. 2551132 proposes technology for controlling the current flowing through the synchronous motor so that the current becomes constant. Japanese Patent No. 3874865 and WO 2003/071672 propose technology for controlling the torque of the synchronous motor.
In Japanese Patent No. 5494760, the command value of the rotational speed is corrected using an AC part of a component of the current flowing through the synchronous motor in a phase (corresponding to a γc axis in a rotating coordinate system) leading, by 90 degrees, a phase (corresponding to a δc axis in the rotating coordinate system) that the primary magnetic flux should take to thereby correct the deviation of the load angle from the predetermined phase difference. However, correction focused on the periodicity of load torque of the synchronous motor is not made.
Japanese Patent No. 3874865 focuses on the periodicity of the load torque, but fails to make a specific reference to application to the primary magnetic flux control.
The present invention has been conceived in view of the above-mentioned background art, and an object thereof is to reduce ripple of vibration torque and/or output torque by correcting a rotational speed command while reflecting the periodicity of load torque in primary magnetic flux control.
A speed command correction device (12) according to the present invention is a device for correcting a rotational speed command (ωeo*) that is a command value of a rotational speed on an electrical angle of a synchronous motor (3) for driving a periodic load in a method of matching a primary magnetic flux (λδc, λγc) with a primary magnetic flux command (Λδ*) in a first axis (δc) on the basis of the primary magnetic flux command and the rotational speed command. The primary magnetic flux (λδc, λγc) is herein a composite of a magnetic flux generated by a current ([I]) flowing through the synchronous motor and a field magnetic flux (Λ0) of the synchronous motor. The first axis leads the field magnetic flux (Λ0) by a predetermined phase difference.
A first aspect of the speed command correction device according to the present invention includes: a first subtractor (109) that subtracts an angular speed correction amount (Δωe*) from the rotational speed command (ωeo*) to obtain a corrected rotational speed command (ωe*); an adder (107) that adds a second-axis current correction value (ΔiγC1) to a second-axis current (iγc) that is a component of the current in a second axis (γc) leading the first axis by an electrical angle of 90 degrees to obtain a corrected second-axis current (iγc1); a DC part removal unit (110) that removes a DC part from the corrected second-axis current to obtain the angular speed correction amount; an angular ripple extraction unit (105a) that obtains, from a rotational angle (θm) on a mechanical angle of the synchronous motor, a rotational angle difference (Δθm) that is a ripple component of the rotational angle to a time integral (ωma·t) of an average value of an angular speed of the mechanical angle; a component extraction unit (105b) that extracts an nth-order component (Δθms(n), Δθmc(n)) (n being a positive integer) of a fundamental frequency of the rotational angle (θm) from the rotational angle difference; a torque conversion unit (105i) that converts the nth-order component into an nth-order component (τvs(n), τvc(n)) of an estimated value of vibration torque (τv) of the synchronous motor; and a correction amount calculation unit (105h) that receives, as an input, the nth-order component of the estimated value, and obtains the second-axis current correction value (Δiγc1) using an input into the correction amount calculation unit.
A second aspect of the speed command correction device according to the present invention includes: a first subtractor (109) that subtracts an angular speed correction amount (Δωe*) from the rotational speed command (ωeo*) to obtain a corrected rotational speed command (ωe*); an adder (107) that adds a second-axis current correction value (Δiγc1) to a second-axis current (iγc) that is a component of the current in a second axis (γc) leading the first axis by an electrical angle of 90 degrees to obtain a corrected second-axis current (iγc1); a DC part removal unit (110) that removes a DC part from the corrected second-axis current to obtain the angular speed correction amount; an output torque estimation unit (105d) that obtains an estimated value of output torque (τe) of the synchronous motor from the primary magnetic flux, a first-axis current (iδc) that is a component of the current in the first axis, and the second-axis current; a component extraction unit (105e) that extracts, from the estimated value, an nth-order component (τes(n), τec(n)) (n being a positive integer) of a fundamental frequency of a rotational angle (θm) as a mechanical angle of the synchronous motor; and a correction amount calculation unit (105h) that receives the nth-order component as an input, and obtains the second-axis current correction value (Δiγc1) using the input into the correction amount calculation unit.
A third aspect of the speed command correction device according to the present invention includes: a first subtractor (109) that subtracts an angular speed correction amount (Δωe*) from the rotational speed command (ωeo*) to obtain a corrected rotational speed command (ωe*); an adder (107) that adds a second-axis current correction value (Δiγc1) to a second-axis current (iγc) that is a component of the current in a second axis (γc) leading the first axis by an electrical angle of 90 degrees to obtain a corrected second-axis current (iγc1); a DC part removal unit (110) that removes a DC part from the corrected second-axis current to obtain the angular speed correction amount; an angular ripple extraction unit (105a) that obtains, from a rotational angle (θm) on a mechanical angle of the synchronous motor, a rotational angle difference (Δθm) that is a ripple component of the rotational angle to a time integral (ωma·t) of an average value of an angular speed of the mechanical angle; a first component extraction unit (105b) that extracts an nth-order component (Δθms(n), Δθmc(n)) (n being a positive integer) of a fundamental frequency of the rotational angle (θm) from the rotational angle difference; a torque conversion unit (105i) that converts the nth-order component into an nth-order component (τvs(n), τvc(n)) of an estimated value of vibration torque (τv) of the synchronous motor; an output torque estimation unit (105d) that obtains an estimated value of output torque (τe) of the synchronous motor from the primary magnetic flux, a first-axis current (iδc) that is a component of the current in the first axis, and the second-axis current; a second component extraction unit (105e) that extracts an nth-order component (τes(n), τec(n)) of the fundamental frequency from the estimated value of output torque; a proration unit (105c, 105f) that prorates the nth-order component (τvs(n), τvc(n)) obtained by the torque conversion unit and the nth-order component (τes(n), τec(n)) extracted by the second component extraction unit with a predetermined proration rate (K(n)/[1−K(n)]) to respectively obtain a first value and a second value; an adder (105g) that obtains a sum of the first value and the second value; and a correction amount calculation unit (105h) that receives the sum as an input, and obtains the second-axis current correction value (Δiγc1) using the input into the correction amount calculation unit.
A fourth aspect of the speed command correction device according to the present invention is the third aspect thereof in which the first component extraction unit (105b) extracts, from the rotational angle difference (Δθm), a vibration torque suppression component (Δθms(j), Δθmc(j)) that is a component for at least one order including a 1st-order component (Δθms(1), Δθmc(1)) of the fundamental frequency of the rotational angle (θm), the second component extraction unit (105e) extracts, from the estimated value of output torque, a component (τes(j), τec(j)) for an order corresponding to the vibration torque suppression component, the speed command correction device further includes a third component extraction unit (105m) that extracts, from the estimated value of the output torque, an output torque suppression component (τes(m), τec(m)) that is a component for at least one order other than the order corresponding to the vibration torque suppression component. The correction amount calculation unit (105h) further receives the output torque suppression component as an input, and obtains the second-axis current correction value (Δiγc1) using the input into the correction amount calculation unit.
Fifth and seventh aspects of the speed command correction device according to the present invention are each the third aspect thereof in which the first component extraction unit (105b) extracts a 1st-order component (Δθms(1), Δθmc(1)) of the fundamental frequency of the rotational angle (θm). The torque conversion unit (105i) converts a value extracted by the first component extraction unit into a 1st-order component (τvs(1), τvc(1)) of the estimated value of vibration torque.
The fifth aspect of the speed command correction device according to the present invention further includes: an odd-order component extraction unit (105q) that extracts, from the estimated value of output torque, an output torque odd-order suppression component (τes(d), τec(d)) that is a component for at least one odd order equal to or greater than a 3rd order of the fundamental frequency; an odd-order torque command generation unit (105r) that obtains a command value (τes*(d), τec*(d)) of the output torque odd-order suppression component on the basis of the 1st-order component of the fundamental frequency of the estimated value of output torque; and a subtractor (105s) that obtains a difference (Δτes(d), Δτec(d)) of the output torque odd-order suppression component from the command value.
The correction amount calculation unit (105h) further receives the difference as an input, and obtains the second-axis current correction value (Δiγc1) using the input into the correction amount calculation unit.
A sixth aspect of the speed command correction device according to the present invention is the fifth aspect thereof further including an even-order component extraction unit (105p) that extracts, from the estimated value of output torque, an output torque even-order suppression component (τes(e), τec(e)) that is a component for at least one even order of the fundamental frequency.
The correction amount calculation unit (105h) further receives the output torque even-order suppression component as an input, and obtains the second-axis current correction value (Δiγc1) using the input into the correction amount calculation unit.
In the seventh aspect of the speed command correction device according to the present invention, the speed command correction device further includes: an even-order component extraction unit (105p) that extracts, from the estimated value of output torque, an output torque even-order suppression component (τes(e), τec(e)) that is a component for at least one even order of the fundamental frequency; an even-order torque command generation unit (105t) that obtains a command value (τes*(e), τec*(e)) of the output torque even-order suppression component on the basis of the 1st-order component of the fundamental frequency of the estimated value of output torque; and a subtractor (105u) that obtains a difference (Δτes(e), Δτec(e)) of the output torque even-order suppression component from the command value.
The correction amount calculation unit (105h) further receives the difference as an input, and obtains the second-axis current correction value (Δiγc1) using the input into the correction amount calculation unit.
An eighth aspect of the speed command correction device according to the present invention is the seventh aspect thereof further including an odd-order component extraction unit (105q) that extracts, from the estimated value of output torque, an output torque odd-order suppression component (τes(d), τec(d)) that is a component for at least one odd order of the fundamental frequency.
The correction amount calculation unit (105h) further receives the output torque odd-order suppression component as an input, and obtains the second-axis current correction value (Δiγc1) using the input into the correction amount calculation unit.
A ninth aspect of the speed command correction device according to the present invention is the seventh aspect thereof further including: an odd-order component extraction unit (105q) that extracts, from the estimated value of output torque, an output torque odd-order suppression component (τes(d), τec(d)) that is a component for at least one odd order equal to or greater than a 3rd order of the fundamental frequency; an odd-order torque command generation unit (105r) that obtains a command value (τes*(d), τec*(d)) of the output torque odd-order suppression component on the basis of the 1st-order component of the fundamental frequency of the estimated value of output torque; and a subtractor (105s) that obtains a second difference (Δτes(d), Δτec(d)) of the output torque odd-order suppression component from the command value.
The correction amount calculation unit (105h) further receives the second difference as an input, and obtains the second-axis current correction value (Δiγc1) using the input into the correction amount calculation unit.
A tenth aspect of the speed command correction device according to the present invention is any one of the seventh, eighth, and ninth aspects thereof in which the even-order torque command generation unit (105t) obtains the command value (τes*(e), τec*(e)) of the output torque even-order suppression component on the basis of the 1st-order component and a 0th-order component (τe(0)) of the fundamental frequency of the estimated value of output torque.
In each of the first to tenth aspects, the correction amount calculation unit (105h) preferably obtains, as a coefficient of a Fourier series, a value obtained by performing proportional integral control on the input into the correction amount calculation unit, and obtains the second-axis current correction value from a result of the Fourier series.
A primary magnetic flux command generation device (103) according to the present invention is a primary magnetic flux command generation device for outputting the primary magnetic flux command (Λδ*) used in the method together with the rotational speed command (ωe*) corrected by the above-mentioned speed command correction device (12), and includes: a fourth component extraction unit (103a) that extracts a 0th-order component of a parameter for setting output torque (τe) of the synchronous motor (3); a fifth component extraction unit (103b) that extracts an nth-order component of the parameter; a composite value calculation unit (103c) that obtains a composite value of the nth-order component of the parameter; a second adder (103d) that obtains a sum of the 0th-order component of the parameter and the nth-order component of the parameter; and a magnetic flux command setting unit (103e) that sets the primary magnetic flux command on the basis of the sum obtained by the second adder, the current ([I]), the field magnetic flux (Λ0), and inductance (Ld, Lq) of the synchronous motor.
As the parameter, any of a first-axis current (iδc) that is a component of the current in the first axis, the second-axis current (iγc), and a load angle (φ) that is a phase difference of a phase of the primary magnetic flux (λδc, λγc) from a phase of the field magnetic flux (Λ0) can be used. Alternatively, the output torque itself can be used in place of the parameter.
According to the first aspect of the speed command correction device according to the present invention, the vibration torque of the synchronous motor is suppressed.
According to the second aspect of the speed command correction device according to the present invention, ripple of the output torque of the synchronous motor is suppressed.
According to the third and fourth aspects of the speed command correction device according to the present invention, suppression of the vibration torque of the synchronous motor and suppression of the ripple of the output torque are prorated.
According to the fifth to tenth aspects of the speed command correction device according to the present invention, a peak value of the current flowing through the synchronous motor is suppressed.
According to the sixth and eighth aspects of the speed command correction device according to the present invention, suppression of the fundamental wave component of the vibration torque of the synchronous motor is not impaired.
According to the primary magnetic flux command generation device according to the present invention, the primary magnetic flux command suitable for the speed command correction device according to the first to third aspects is generated.
The objects, features, aspects, and advantages of the present invention will become more apparent from the following detailed description and the accompanying drawings.
A synchronous motor 3 is a three-phase rotary motor, and includes an armature (not illustrated) and a rotor (not illustrated) as a field. It is common general knowledge that the armature includes an armature winding, and the rotor rotates relative to the armature. The field includes, for example, a magnet (field magnet: not illustrated) generating a field magnetic flux, and is of an embedded magnet type, for example.
A voltage supply 2 includes, for example, a voltage-controlled inverter and a control unit therefor, and applies a three-phase voltage to the synchronous motor 3 on the basis of a three-phase voltage command value [V*] (a symbol [ ] indicates that the value is a vector). This allows a three-phase current [I] to flow from the voltage supply 2 to the synchronous motor 3.
The motor control device 1 controls a primary magnetic flux and a rotational speed (rotational angular speed in the following example) of the synchronous motor 3. The primary magnetic flux is a composite of a field magnetic flux Λ0 generated by the field magnet and a magnetic flux due to armature reaction generated by an armature current (this is also the three-phase current [I]) flowing through the synchronous motor 3 (more specifically, through the armature). A primary magnetic flux command Λδ* is a command value of a magnitude Λδ of an actual primary magnetic flux.
The motor control device 1 performs control in a method of matching the primary magnetic flux of the synchronous motor 3 with the primary magnetic flux command Λδ* in a δc axis, which is a control axis of the primary magnetic flux, to control the synchronous motor 3. The δc axis leads a d axis, which indicates a phase of the field magnetic flux Λ0 in a rotating coordinate system, by a predetermined phase difference. The actual primary magnetic flux has a δc-axis component λδc in the δc axis and a γc-axis component λγc in a γc axis. The γc axis leads the δc axis by an electrical angle of 90 degrees. The δc-axis component λδc and the γc-axis component λγc are hereinafter also simply expressed as primary magnetic fluxes λδc and λγc.
As to the command value of the primary magnetic flux, the γc-axis component is zero and the δc-axis component is set to the primary magnetic flux command Λδ* as described above, usually. This means that the motor control device 1 performs control so that the γc-axis component λγc of the actual primary magnetic flux becomes zero to obtain the predetermined phase difference. Such control is commonly referred to as primary magnetic flux control, and is known in Japanese Patent No. 5494760 and Japanese Patent No. 5556875, for example. The primary magnetic flux and the rotational speed are usually used as controllable amounts in the primary magnetic flux control.
In the present embodiment, the primary magnetic flux may be either an estimated value or an observed value. Technology for estimating the primary magnetic flux itself is known, for example, in Japanese Patent No. 5494760.
The motor control device 1 includes a first coordinate transformation unit 101, a magnetic flux control unit 102, a second coordinate transformation unit 104, and a speed command correction device 12.
The first coordinate transformation unit 101 performs three-phase to two-phase transformation based on an electrical angle θe of the synchronous motor 3 obtained as described below. Specifically, the first coordinate transformation unit 101 transforms the three-phase current [I] into a δc-axis current iδc and a γc-axis current iγc in a δc-γc rotating coordinate system in which the primary magnetic flux control is performed. In this case, the sum of currents of three phases of the three-phase current becomes zero, and thus, if currents of two phases are obtained, a current of the remaining phase is estimated from the currents of the two phases. As described above, “3(2)” in
The second coordinate transformation unit 104 performs two-phase to three-phase transformation based on the electrical angle θe. Specifically, the second coordinate transformation unit 104 transforms a δc-axis voltage command value vδ* and a γc-axis voltage command value vγ* in the δc-γc rotating coordinate system into the three-phase voltage command value [V*].
The second coordinate transformation unit 104 may transform the δc-axis voltage command value vδ* and the γc-axis voltage command value vγ* into a voltage command value in another coordinate system, such as a d-q rotating coordinate system, in place of the three-phase voltage command value [V*]. Examples of the other coordinate system include an αβ fixed coordinate system, a uvw fixed coordinate system, and a polar coordinate system.
The magnetic flux control unit 102 obtains, from a rotational speed command ωeo* (on the electrical angle), a rotational speed command ωm* (on a mechanical angle) corresponding thereto. The function can easily be achieved by known technology, and thus details thereof are omitted.
The magnetic flux control unit 102 has an integration function, for example. A rotational speed command ωe* is integrated by the integration function to obtain the electrical angle θe. From the obtained electrical angle θe and a load angle φ to the d axis of the primary magnetic flux, a rotational angle θm as the mechanical angle can be obtained by an equation (1). Note that the number of pole pairs P of the synchronous motor 3 is introduced.
The load angle φ may be either an estimated value or an observed value. Technology for estimating the load angle φ itself is also known, for example, in Japanese Patent No. 5494760. Any known technology other than the equation (1) can be used as a method of obtaining the rotational angle θm.
The magnetic flux control unit 102 also generates the Sc-axis voltage command value vδ* and the γc-axis voltage command value vγ* on the basis of the Sc-axis current iδc, the γc-axis current iγc, the primary magnetic fluxes λδc and λγc, the primary magnetic flux command Λδ*, and the rotational speed command ωe*. The function, the configuration to achieve the function, and a technique of estimating the primary magnetic fluxes λδc and λγc are known, for example, in Japanese Patent No. 5494760, and thus details thereof are omitted herein.
The speed command correction device 12 includes a γc-axis current correction unit 105 (“iγc correction unit” in
The γc-axis current correction unit 105 obtains a first γc-axis current correction value Δiγc1 on the basis of the rotational angle θm, the rotational speed command ωm*, the primary magnetic fluxes λ∂c and λγc, the δc-axis current iδc, the γc-axis current iγc, and an order n. The first γc-axis current correction value Δiγc1 is an amount to reduce an nth-order component (n is a positive integer) of a fundamental frequency of the rotational angle θm, and a specific meaning thereof and how to obtain the first γc-axis current correction value Δiγc1 will be described below.
The adder 107 adds the first γc-axis current correction value Δiγc1 to the γc-axis current iγc to obtain a first corrected γc-axis current iγc1. The high-pass filter 110 functions as a DC part removal unit that removes a DC part from the first corrected γc-axis current iγc1 to obtain an angular speed correction amount Δωe*. The speed command correction device 12 may further include a constant multiplication unit 108 as illustrated, and the angular speed correction amount Δωe* may be obtained as an amount obtained by multiplying an output of the high-pass filter 110 by a predetermined gain Km using the constant multiplication unit 108.
The subtractor 109 subtracts the angular speed correction amount Δωe* from the rotational speed command ωeo* on the electrical angle to obtain a corrected rotational speed command ωe*.
The vibration torque extraction unit 105A includes an angular ripple extraction unit 105a, an nth-order component extraction unit 105b, a torque conversion unit 105i, and a proration coefficient multiplication unit 105e.
The angular ripple extraction unit 105a obtains a rotational angle difference Δθm from the rotational angle θm and the rotational speed command ωm*. The nth-order component extraction unit 105b extracts nth-order components Δθms(n) and Δθmc(n) of the fundamental frequency of the rotational angle θm from the rotational angle difference Δθm. The torque conversion unit 105i converts the nth-order components Δθms(n) and Δθmc(n) into torque. Specifically, the torque conversion unit 105i obtains nth-order components τvs(n) and τvc(n) of an estimated value of vibration torque τv of the synchronous motor 3 at the rotational angle θm. The vibration torque τv and the estimated value thereof are each expressed as the “vibration torque τv” for convenience sake as a difference between the estimated value and an actual value of the vibration torque τv is not dealt with herein.
The vibration torque τv has a value obtained by subtracting load torque τd of a mechanical load (not illustrated) driven by the synchronous motor 3 from output torque τe of the synchronous motor 3. The load torque τd has the periodicity, that is, the synchronous motor 3 drives a periodic load. An example of the mechanical load includes a compression mechanism for compressing a refrigerant used in an air conditioner, for example.
When the synchronous motor 3 is rotating, the rotational angle θm is expressed as a function θm(t) of time t. Thus, when moment of inertia of the mechanical load is expressed as J, an equation (2) holds. The moment of inertia J is usually known.
The effect of the mechanical load on the rotational angle θm per 1/n rotation (n=1, 2, 3, . . . ) of the synchronous motor 3 is considered herein. The vibration torque τv has a component (the above-mentioned “nth-order component”) varying with a period of 1/n of the period of the rotational angle θm, and having independent amplitude for each order. For example, main amplitude is the amplitude of a 1st-order component corresponding to an equation n=1 when the mechanical load is a one-cylinder compressor, and is the amplitude of a 2nd-order component corresponding to an equation n=2 when the mechanical load is a two-cylinder compressor. The rotational angle θm(t) is approximated by an equation (3) by introducing an average value of an angular speed (hereinafter, referred to as an “average angular speed”) ωma, and amplitude M(n) and a phase α(n) for each order. A symbol Σ herein indicates the sum for the order n.
θm(t)=ωma·t+Σ[M(n)·sin(n·ωma·t+α(n))] (3)
An equation (4) holds from the equation (3).
Equations (5) hold from the equations (2) and (4).
τv=J·(−ωma2)·Σ[n2·Δθm], Δθm=θm(t)−θmfθmf=ωma·t (5)
It can be said that the first term ωma·t of the right-hand side of the equation (3) is a time integral of the average angular speed ωma. If the rotational angle θm is expressed only by the first term of the right-hand side of the equation (3) (i.e., an equation M(n)=0 holds for each order n), it is a case where the synchronous motor 3 rotates in accordance with the rotational speed command ωm*, and the average angular speed ωma becomes constant by the rotational speed command ωm*. An angle θmf in such a case is the rotational angle θm when the synchronous motor 3 rotates at a constant speed by the rotational speed command ωm* (at the time of constant-speed rotation). This enables the angle θmf to be obtained as the product of the rotational speed command ωm* and the time t, and, once the time t is obtained, it is easy to obtain the rotational angle difference Δθm.
Note that the time t is not obtained separately in the above-mentioned configuration example. An example of technology for obtaining the angle θmf without using the time t is thus described below.
The subtractor 111 subtracts an output of the delayer 118 from the rotational angle θm to obtain a value ωth. The adder 112 adds an output of the delayer 114 to the value ωth to obtain a sum u. The divider 113 divides the sum u by a constant A. The adder 115 adds the value ωth and a result of division performed by the divider 113. The divider 116 divides a result of addition performed by the adder 115 by a constant B. The adder 117 adds the output of the delayer 118 and a result of division performed by the divider 116. The angle θmf can be obtained as a result of addition performed by the adder 117. The delayer 114 delays the sum u, and the delayer 118 delays the angle θmf by the same time. A case where the delayers 114 and 118 use one period of calculation performed by the calculation unit 11a as a delay amount is herein shown as an example.
The above-mentioned calculation performed by the calculation unit 11a is expressed by equations (6):
The nth-order component extraction unit 105b extracts the nth-order component of the vibration torque τv from the first equation of the equations (5). The component of the rotational angle difference Δθm for the order to be extracted is herein handled by being divided into a sine value component Δθms(n) and a cosine value component Δθmc(n) instead of calculating a phase α(n). Specific operation of the nth-order component extraction unit 105b will be described below.
Referring to
The output torque extraction unit 105B includes an output torque estimation unit 105d, an nth-order component extraction unit 105e, and a proration coefficient multiplication unit 105f.
The output torque estimation unit 105d uses the primary magnetic fluxes λδc and λγc, the δc-axis current iδc, and the γc-axis current iγc to obtain an estimated value of the output torque τe from an equation (7):
τe=P·(λδc·iγc−Δγc·iδc) (7)
The output torque τe and the estimated value thereof are each expressed as the “output torque τe” for convenience sake as a difference between the estimated value and an actual value of the output torque τe is not dealt with herein.
The multiplier 11d obtains the product λδc·iγc of the δc-axis component λδc of the primary magnetic flux and the γc-axis current iγc. The multiplier 11e obtains the product λγc·iδc of the γc-axis component λγc of the primary magnetic flux and the δc-axis current iδc. The subtractor 11f subtracts the product λγc·iδc from the product λδc·iγc. The constant multiplication unit 11g multiplies a result of subtraction obtained by the subtractor 11f by the number of pole pairs P to obtain the output torque τe.
The nth-order component extraction unit 105e extracts, from the output torque τe, nth-order components τes(n) and τec(n) of the fundamental frequency of the rotational angle θm, as with the nth-order component extraction unit 105b.
Specifically, the nth-order component extraction units 105b and 105e each obtain a sine value component and a cosine value component of an input amount using the Fourier transform. The rotational angle difference Δθm and the output torque τe are each a function of the rotational angle θm, and, when each of them is expressed as a function F(θm), equations (8) hold.
Here, a value a0 denotes a DC component (0th-order component) of the function F(θm), a value an denotes the amplitude of a cosine value of an nth-order component of the function F(θm), and a value bn denotes the amplitude of a sine value of the nth-order component of the function F(θm). To perform the above-mentioned Fourier transform, the nth-order component extraction units 105b and 105e each receive the order n and the rotational angle θm as inputs. In the equations (8), the time t may be used in place of the rotational angle θm as an integration variable. This is because the angle θmf can be substituted for the rotational angle θm in calculation performed in the Fourier transform, and the variable can be transformed using the third equation of the equations (5).
The nth-order component extraction unit 105b receives the rotational angle difference Δθm as an input to use it as the above-mentioned function F(θm), outputs the value bn as the sine value component Δθms(n) of the rotational angle difference Δθm, and outputs the value an as the cosine value component Δθmc(n) of the rotational angle difference Δθm.
The nth-order component extraction unit 105e receives the output torque τe as an input to use it as the above-mentioned function F(θm), outputs the value bn as the sine value component τes(n) of the output torque τe, and outputs the value an as the cosine value component τec(n) of the output torque τe.
The proration coefficient multiplication unit 105c multiplies each of the sine value component τvs(n) and the cosine value component τvc(n) by a proration coefficient K(n) set for each order n. The proration coefficient multiplication unit 105f multiplies each of the sine value component τes(n) and the cosine value component τec(n) by a proration coefficient [1−K(n)]. Note that an in equation 0≤K(n)≤1 holds for each order n. The proration coefficient multiplication units 105c and 105f can thus be seen as proration units that prorate the sine value component τvs(n) and the sine value component τes(n) with a predetermined proration rate K(n)/[1−K(n)], and prorate the cosine value component τvc(n) and the cosine value component τec(n) with the proration rate. The proration coefficients K(n) and [1−K(n)] may be externally provided for the proration coefficient multiplication units 105c and 105f. In this case, the proration coefficient multiplication units 105c and 105f can be achieved by simple multipliers.
The adder 105g adds, for each order n, the product τvs(n)·K(n) and the product τes(n)·[1−K(n)] relating to the sine value components, adds the product τvc(n)·K(n) and the product τec(n)·[1−K(n)] relating to the cosine value components, and outputs paired sums.
A plurality of orders n may be used as targets of extraction performed by the nth-order component extraction units 105b and 105e. For example, when only a value 1 is used as the order n, the adder 105g outputs one pair of sums τvs(1)·K(1)+τes(1)·[1−K(1)] and τvc(1)·K(1)+τec(1)·[1−K(1)]. Alternatively, when two values 1 and 2 are used as the orders n, the adder 105g outputs two pairs of sums, that is, a pair of sums τvs(1)·K(1)+τes(1)·[1−K(1)] and τvc(1)·K(1)+τec(1)·[1−K(1)] and a pair of sums τvs(2)·K(2)+τes(2)·[1−K(2)] and τvc(2)·K(2)+τec(2)·[1−K(2)]. In
When a sine value component τds(n) and a cosine value component τdc(n) of the load torque τd for the nth order are introduced, equations (9) are obtained from a left equation of the equation (2).
τvs(n)=τes(n)−τds(n)
τvc(n)=τec(n)−τdc(n) (9)
The adder 105g can thus output paired values τes(n)−K(n)·τds(n) and τec(n)−K(n)·τdc(n).
The PI control unit 11h includes PI controllers 11hs and 11hc each performing proportional integral control. The PI controller 11hs performs proportional integral control on a value relating to the sine value components. The PI controller 11hc performs proportional integral control on a value relating to the cosine value components.
How to set the gains Kps(n), Kpc(n), Kis(n), and Kic(n) is a matter of design choice, and the proportional integral control itself is known technology, so that further detailed description is omitted herein.
The PI controller 11hs receives the value τes(n)−K(n)·τds(n) as an input, and outputs a result obtained by performing the proportional integral control thereon. The PI controller 11hc receives the value τec(n)−K(n)·τdc(n) as an input, and outputs a result obtained by performing the proportional integral control thereon.
The composite value calculation unit 11y obtains a composite value by combining the result of the proportional integral control relating to the sine value components obtained by the PI controller 11hs and the result of the proportional integral control relating to the cosine value components obtained by the PI controller 11hc in the following manner.
The composite value calculation unit 11y includes multipliers 11j, 11k, and 11p, a sine value generation unit 11q, a cosine value generation unit 11r, and an adder 11s.
The multiplier 11p receives the order n and the rotational angle θm as inputs, and obtains the product n·θm of them. The sine value generation unit 11q receives the product n·θm as an input, and obtains a sine value sin(n·θm). The cosine value generation unit 11r receives the product n·θm as an input, and obtains a cosine value cos(n·θm).
The multiplier 11j obtains the product of the result obtained by the PI controller 11hs and the sine value sin(n·θm). The multiplier 11k obtains the product of the result obtained by the PI controller 11hc and the cosine value cos(n·θm). The adder 11s obtains the composite value by combining the trigonometric functions. Specifically, the adder 11s obtains the composite value as the sum of the product obtained by the multiplier 11j and the product obtained by the multiplier 11k. The composite value is output from the composite value calculation unit 11y as the first γc-axis current correction value Δiγc1. This corresponds to obtaining, using the results obtained by the PI controllers 11hs and 11hc as coefficients of a Fourier series, the first γc-axis current correction value Δiγc1 from a result of the Fourier series.
As described above, by obtaining the first γc-axis current correction value Δiγc1 on the basis of the nth-order components of the vibration torque τv and the output torque τe, and subtracting the first γc-axis current correction value Δiγc1 from the γc-axis current iγc, the subtractor 109 eventually corrects the rotational speed command ωeo* so that the rotational speed command ωeo* increases with increasing vibration torque τv and/or increasing output torque τe. As described above, the first γc-axis current correction value Δiγc1 is obtained by performing the proportional integral control on the ripple of the vibration torque τv and the output torque τe, and thus the corrected rotational speed command ωe* is controlled to suppress the ripple of the vibration torque τv and the output torque τe.
Before the correction amount calculation unit 105h performs the proportional integral control, the effect of the vibration torque τv and the output torque τe on the rotational speed command ωeo* is prorated with the proration coefficients K(n) and [1−K(n)]. This is preferable not only from the viewpoint of being capable of maintaining the proration rate regardless of the gain in the proportional integral control but also from the viewpoint of not requiring a frequency band according to the rotational speed of the mechanical angle in the proportional integral control.
When a plurality of orders n are set, the correction amount calculation unit 105h includes the PI control unit 11h and the composite value calculation unit 11y excluding the adder 11s for each order. The adder 11s adds all the outputs of the composite value calculation units fly set for respective orders, and outputs the added outputs as the first γc-axis current correction value Δiγc1.
Assume that the proration coefficient K(n) is one for the nth order. In this case, an output of the proration coefficient multiplication unit 105f is zero, and the output torque τe does not contribute to the first γc-axis current correction value Δiγc1 and only the vibration torque τv contributes to correction of the rotational speed command ωeo*. In this case, correction of the rotational speed command ωeo* contributes mainly to suppression of the vibration torque τv.
Assume that the proration coefficient K(n) is zero for the nth order. In this case, an output of the proration coefficient multiplication unit 105c is zero, and the vibration torque τv does not contribute to the first γc-axis current correction value Δiγc1 and only the output torque to contributes to correction of the rotational speed command ωeo*. In this case, correction of the rotational speed command ωeo* contributes mainly to suppression of the ripple of the output torque τe, making it easy to maintain the amplitude of the current [I] constant.
It can be seen from the above-mentioned description that the effect of suppressing the vibration torque τv through correction of the rotational speed command ωeo* can be obtained even if the adder 105g, the output torque extraction unit 105B, and the proration coefficient multiplication unit 105c are omitted from the γc-axis current correction unit 105, and the correction amount calculation unit 105h obtains the first γc-axis current correction value Δiγc1 using the sine value component τvs(n) and the cosine value component τvc(n) (more specifically, by performing the proportional integral control thereon) without using the sine value component τes(n) and the cosine value component τec(n).
Similarly, it can be seen that the effect of suppressing the ripple of the output torque τe through correction of the rotational speed command ωeo* can be obtained even if the adder 105g, the vibration torque extraction unit 105A, and the proration coefficient multiplication unit 105f are omitted from the γc-axis current correction unit 105, and the correction amount calculation unit 105h obtains the first γc-axis current correction value Δiγc1 using the sine value component τes(n) and the cosine value component τec(n) (more specifically, by performing the proportional integral control thereon) without using the sine value component τvs(n) and the cosine value component τvc(n).
In the present embodiment, technology for improving the efficiency of the synchronous motor 3 using the first γc-axis current correction value Δiγc1 is described. A case where a vibration of a fundamental frequency of the vibration torque τv is suppressed in the first embodiment is considered. As described above, the fundamental frequency of the vibration torque τv corresponds to the equation n=1 when the mechanical load is the one-cylinder compressor, and corresponds to the equation n=2 when the mechanical load is the two-cylinder compressor. First, description will be made on the assumption that the mechanical load is the one-cylinder compressor for simplicity.
In the first embodiment, the 1st-order component of the fundamental frequency (hereinafter, referred to as a “fundamental wave component”) of the vibration torque τv is suppressed by using the vibration torque extraction unit 105A and the output torque extraction unit 105B, and using only the value 1 as the order n. In particular, the fundamental wave component of the vibration torque τv almost disappears by setting K(1) to one.
However, the ripple of a component other than the component of the fundamental frequency of the output torque τe is not necessarily suppressed. On the other hand, the ripple can be the origin of a harmonic component of the current flowing through the synchronous motor 3. The efficiency of the synchronous motor 3 deteriorates with increasing number of harmonic components flowing through the synchronous motor 3. The efficiency of the synchronous motor 3 is thus improved by suppressing the ripple of the output torque τe. Note that the fundamental wave component of the vibration torque τv is suppressed as described above. Thus, in the present embodiment, the ripple of the output torque τe is suppressed for an order other than the order of the fundamental wave component to improve the efficiency of the synchronous motor 3.
The vibration torque extraction unit 105A, the output torque extraction unit 105B, and the adder 105g have similar configuration to that in the first embodiment. Note that the symbol “n” representing the order in
That is to say, a jth-order component extraction unit 105b extracts, from the rotational angle difference Δθm, vibration torque suppression components Δθms(j) and Δθmc(j) as components for at least one order including the 1st-order components of the fundamental frequency of the vibration torque τv. A jth-order component extraction unit 105e extracts, from the output torque (to be exact, an estimated value thereof) τe, components τes(j) and τec(j) for the jth order corresponding to the vibration torque suppression components Δθms(j) and Δθmc(j).
In the present embodiment, the γc-axis current correction unit 105 further includes an mth-order component extraction unit 105m. The mth-order component extraction unit 105m has similar configuration to the jth-order component extraction unit 105e, and extracts mth-order components τes(m) and τec(m) from the output torque (to be exact, the estimated value thereof) τe. The order m, however, is at least one order used from among orders other than the order j corresponding to the vibration torque suppression components Δθms(j) and Δθmc(j).
Description will be made below by taking, as an example, a case where equations j=1 and m=2, 3 hold for simplicity.
The PI control unit 11h at the top of
The PI control unit 11h at the middle of
The composite value calculation units 11y1 each have the configuration of the composite value calculation unit 11y from which the adder 11s has been omitted, and the multipliers 11p, 11j, and 11k, the sine value generation unit 11q, and the cosine value generation unit 11r in each of them have the same functions as those shown in the first embodiment.
The adders 11s and 11t each receive the sum of the output of the multiplier 11j and the output of the multiplier 11k for a corresponding one of the orders 1, 2, and 3, and output it as the first γc-axis current correction value Δiγc1. This means that, in the present embodiment, the γc-axis current correction unit 105 obtains the first γc-axis current correction value Δiγc1 using the sum obtained by the adder 105g and the output torque suppression components τes(m) and τec(m) obtained by the mth-order component extraction unit 105m. It is obvious from the description in the first embodiment that the first γc-axis current correction value Δiγc1 thus obtained contributes to suppression of the ripple of the mth-order components of the output torque τe in correction of the rotational speed command ωeo*.
As described above, the jth-order components of the vibration torque τv and the mth-order (m≠j) components of the output torque τe can be suppressed in the present embodiment.
The composite value calculation unit 11y at the top of
The output torque suppression components τes(m) and τec(m) are not prorated with the mth-order components of the vibration torque τv, and thus may individually be amplified for each order before being input into the correction amount calculation unit 105h. Similarly, the outputs of the adder 105g may individually be amplified for each order in the first embodiment. In other words, proration coefficients C(n)·K(n) and C(n)·[1−K(n)] (note that C(n) is a positive number for each order n) may be used in place of the proration coefficients K(n) and [1−K(n)]. It is obvious that the proration rate K(n)/[1−K(n)] is maintained in such a case.
In the present embodiment, technology for suppressing a peak value of a current flowing through the synchronous motor 3 (hereinafter, referred to as a “motor current”) using the first γc-axis current correction value Δiγc1 is described. The case where the vibration of the fundamental frequency of the vibration torque τv is suppressed in the first embodiment is considered. As described above, the fundamental frequency of the vibration torque τv corresponds to the equation n=1 when the mechanical load is the one-cylinder compressor, and corresponds to the equation n=2 when the mechanical load is the two-cylinder compressor. First, description will be made on the assumption that the mechanical load is the one-cylinder compressor for simplicity.
In the first embodiment, the fundamental wave components of the vibration torque τv and the output torque τe are suppressed by using the vibration torque extraction unit 105A and the output torque extraction unit 105B, and using only the value 1 as the order n. The ripple of the vibration torque τv and the output torque τe is caused mainly by the fundamental wave components thereof, and thus suppression of the fundamental wave components is important.
In a case where the first γc-axis current correction value Δiγc1 required to suppress the fundamental wave components of the vibration torque τv is obtained, however, the peak value of the motor current can increase. Control to limit the peak value of the motor current (e.g., control to set the upper limits of the δc-axis voltage command value vδ* and the γc-axis voltage command value vγ* shown in
It is thus desirable to decrease the peak value of the motor current so that suppression of the fundamental wave components of the vibration torque τv is not impaired by the control to limit the peak value of the motor current. In the present embodiment, technology for reducing the peak of the sum of the nth-order components τes(n) and τec(n) for the nth order while maintaining fundamental wave components τes(1) and τec(1) of the output torque to is shown.
In a case where the peak of the sum of the nth-order components τes(n) and τec(n) for the nth order is reduced, a waveform of the sum of components for the odd order can show a rectangular wave if the value of the order n does not have an upper limit. When the amplitude of the rectangular wave is assumed to be one, the rectangular wave is expressed by an equation (10) shown below if an upper limit value D is set to infinity in a function R(Ψ) of a phase Ψ. Note that an odd number d is introduced, and the symbol Σ herein indicates the sum for the odd number d.
Thus, in the present embodiment, as for an odd-order component of the output torque τe for the odd order d equal to or greater than a 3rd order, a command value of the odd-order component (hereinafter, referred to as an “odd-order torque command”) in view of reduction of the above-mentioned peak value is obtained. The first γc-axis current correction value Δiγc1 is obtained also based on a difference between the odd-order component and the odd-order torque command.
On the other hand, as for a higher-order component of the output torque τe for the even order, a sine value component τes(e) and a cosine value component τec(e) thereof (introducing an even number e) are extracted to be used for calculation to obtain the first γc-axis current correction value Δiγc1 by assuming that an equation K(e)=0 holds in line with the first embodiment.
In the present embodiment, however, the nth-order component extraction units 105b and 105e each extract only the fundamental wave components. Specifically, the nth-order component extraction unit 105b extracts the fundamental wave components Δθms(1) and Δθmc(1) of the rotational angle θm from the rotational angle difference Δθm. This allows the torque conversion unit 105i to output a sine value component τvs(1) and a cosine value component τvc(1) of the fundamental wave components of the vibration torque τv, and the proration coefficient multiplication unit 105c multiplies each of them by a proration coefficient K(1). For this reason, the nth-order component extraction unit 105b is shown as a “fundamental wave component extraction unit” in
Similarly, the nth-order component extraction unit 105e extracts the sine value component τes(1) and the cosine value component τec(1) of the fundamental wave components of the output torque τe (to be exact, the estimated value thereof). The proration coefficient multiplication unit 105f multiplies each of them by a proration coefficient [1−K(1)]. For this reason, the nth-order component extraction unit 105e is shown as a “fundamental wave component extraction unit” in
From the above-mentioned description, in the present embodiment, the nth-order component extraction unit 105b, the torque conversion unit 105i, the proration coefficient multiplication unit 105c, the nth-order component extraction unit 105e, the proration coefficient multiplication unit 105f, and the adder 105g can be considered as a fundamental wave component proration unit 105C that extracts the fundamental wave components of each of the vibration torque τv and the output torque τe, and prorates them with a predetermined proration rate (K(1)/[1−K(1)]).
In a case where the ripple of the vibration torque τv is not suppressed, the angular ripple extraction unit 105a, the nth-order component extraction unit 105b, the torque conversion unit 105i, the proration coefficient multiplication unit 105c, and the adder 105g can be omitted by assuming that an equation K(1)=0 holds. This means that, in the present embodiment, the vibration torque τv including the fundamental wave components thereof are not necessarily extracted.
The γc-axis current correction unit 105 further includes an output torque even-order output unit 105D and an output torque odd-order output unit 105E.
The output torque even-order output unit 105D obtains even-order components, which are components for the even order e, of the output torque τe, and outputs them to the correction amount calculation unit 105h. The output torque odd-order output unit 105E obtains differences between odd-order components of the output torque and odd-order torque commands, and outputs them to the correction amount calculation unit 105h.
Specifically, the output torque even-order output unit 105D includes an even-order component extraction unit 105p. The even-order component extraction unit 105p receives the rotational angle θm, the output torque τe (to be exact, the estimated value thereof: obtained from the output torque estimation unit 105d), and the even order e as inputs, and obtains the sine value component τes(e) and the cosine value component τec(e) as components (output torque even-order suppression components) for suppressing the output torque for the even order. The even-order component extraction unit 105p has similar configuration to that of the nth-order component extraction unit 105e described in the first embodiment, and differs from the nth-order component extraction unit 105e only in that the order n as input is limited to the even order e. The sine value component τes(e) and the cosine value component τec(e) are used as the above-mentioned even-order components.
A plurality of orders e may be used. In this case, a plurality of even-order component extraction units 105p may be provided in the output torque even-order output unit 105D for respective orders e.
The output torque odd-order output unit 105E includes an odd-order component extraction unit 105q, an odd-order torque command generation unit 105r, and a subtractor 105s.
The odd-order component extraction unit 105q receives the rotational angle θm, the output torque τe, and the odd order d equal to or greater than the 3rd order as inputs, and obtains a sine value component τes(d) and a cosine value component τec(d) as components (output torque odd-order suppression components) for suppressing the output torque for the odd order. The odd-order component extraction unit 105q also has similar configuration to that of the nth-order component extraction unit 105e described in the first embodiment, and differs from the nth-order component extraction unit 105e only in that the order n as input is limited to the odd order d equal to or greater than the 3rd order.
The odd-order torque command generation unit 105r obtains a command value (hereinafter, referred to as an “odd-order torque command sine value component”) τes*(d) of the sine value component τes(d) and a command value (hereinafter, referred to as an “odd-order torque command cosine value component”) τec*(d) of the cosine value component τec(d). Details thereof will be described below.
The subtractor 105s obtains a deviation Δτes(d) of the sine value component τes(d) from the odd-order torque command sine value component τes*(d) and a deviation Δτec(d) of the cosine value component τec(d) from the odd-order torque command cosine value component τec*(d). Specifically, equations Δτes(d)=τes(d)−τes*(d) and Δτec(d)=τec(d)−τec*(d) hold.
A plurality of orders d may be used. In this case, a plurality of odd-order component extraction units 105q, a plurality of odd-order torque command generation units 105r, and a plurality of subtractors 105s may be provided in the output torque odd-order output unit 105E for respective orders d.
Description will be made below by taking, as an example, a case where equations d=3 and e=2 hold for simplicity.
However, inputs into the PI control unit 11h at the bottom differ from those in the second embodiment, and deviations Δτes(3) and Δτec(3) are respectively input into the PI controllers 11hs and 11hc. The configuration other than the inputs is similar to that in the second embodiment, and the first γc-axis current correction value Δiγc1 is obtained also in the present embodiment.
While the order 1 is input into the composite value calculation unit 11y, and is multiplied by the rotational angle θm by the multiplier 11p, it is obvious that the multiplier 11p can be omitted.
The amplitude computing unit 1051 obtains a magnitude Te of fundamental wave components τe(1) of the output torque τe. The phase computing unit 1052 obtains a phase α of the output torque τe relative to the rotational angle θm. Specifically, an equation (11) holds, and thus the magnitude Te and the phase α are obtained by equations (12).
That is to say, the phase α is obtained as a value of an arctangent function of a value obtained by dividing the cosine value component τec(1) by the sine value component τes(1), and the magnitude Te is obtained as a square root of the sum of the square of the sine value component τes(1) and the square of the cosine value component τec(1).
When an angle (θm+α) is 0 degrees, 180 degrees, and 360 degrees (see also
The peak of the sum tea can be reduced by setting a coefficient g(d) in the first equation of the right-hand side of the equation (13) on the basis of the order d and the upper limit value D. Specifically, if the upper limit value D is set to infinity, the coefficient g(d) should be set to 1/d of a coefficient g(1) with reference to the equation (10). The peak of the sum Tea can thereby be a minimum value thereof. Assume that an equation g(1)=1 holds in the following description unless otherwise noted.
On the other hand, the sum Tea can be rewritten to the second equation of the right-hand side of the equation (13) by introducing the odd-order torque command sine value component τes*(d) and the odd-order torque command cosine value component τec*(d). The odd-order torque command sine value component τes*(d) and the odd-order torque command cosine value component τec*(d) can thus be obtained by equations (14):
τes*(d)=g(d)·Te·cos(d·α),
τec*(d)=g(d)·Te·sin(d·α) (14)
Calculation in the equations (14) is achieved by the odd-order torque command generation unit 105r in the following manner. The multiplier 1053 multiplies the coefficient g(d) and the magnitude Te for each order d to obtain the product g(d)·Te. The multiplier 1054 multiplies the order d and the phase α for each order d to obtain the product d·α.
The cosine value generation unit 1055 obtains a cosine value cos(d·α) of the product d·α for each order d, and the sine value generation unit 1056 obtains a sine value sin(d·α) of the product d·α for each order d. The multiplier 1057 multiplies the product g(d)·Te and the cosine value cos(d·α) for each order d to obtain the odd-order torque command sine value component τes*(d). The multiplier 1058 multiplies the product g(d)·Te and the sine value sin(d·α) for each order d to obtain the odd-order torque command cosine value component τec*(d).
In each of the first and second examples, the peak of the fundamental wave components τe(1) is drawn to be 1. It can be seen that, in each of the first and second examples, the waveform of the sum of the odd-order components has a smaller peak than that of the fundamental wave components τe(1). In view of the equation (10), it can be seen that the peak of the waveform approaches a value (π/4) as the upper limit value D increases, in line with
As described above, the 1st-order component of the vibration torque τv can be suppressed, and the peak of the output torque to can be suppressed.
The composite value calculation unit 11y at the top of
The sine value component τes(e) and the cosine value component τec(e) for the even order, the sine value component τes(d) and the cosine value component τec(d) for the odd order, and the odd-order torque command sine value component τes*(d) and the odd-order torque command cosine value component τec*(d) are not prorated with the vibration torque τv, and thus may individually be amplified for each order before being input into the correction amount calculation unit 105h.
In some cases, there is no need to reduce the ripple of the output torque τe for the even order in the third embodiment. In this case, the output torque even-order output unit 105D can be omitted from the configuration shown in the third embodiment.
In the present embodiment, the correction amount calculation unit 105h does not deal with the sine value component τes(e) and the cosine value component τec(e) for the even order. Thus, there is no need to input the even order e into the correction amount calculation unit 105h (see
The effect of reducing the peak value of the motor current can be obtained also in the present embodiment as in the third embodiment.
In the present embodiment, in contrast to the third embodiment, technology for reducing the peak value of the motor current through control using components for the even order while reducing the ripple of the output torque τe for the odd order is described.
The output torque odd-order output unit 105F includes the odd-order component extraction unit 105q. The odd-order component extraction unit 105q is already described in the third embodiment, and thus details thereof are omitted herein. The odd-order component extraction unit 105q obtains the sine value component τes(d) and the cosine value component τec(d) as the components (output torque odd-order suppression components) for suppressing the output torque for the odd order.
The output torque even-order output unit 105G includes the even-order component extraction unit 105p, an even-order torque command generation unit 105t, and a subtractor 105u.
The even-order component extraction unit 105p is already described in the third embodiment, and thus details thereof are omitted herein. The even-order component extraction unit 105p outputs the sine value component τes(e) and the cosine value component τec(e).
The even-order torque command generation unit 105t obtains a command value (hereinafter, referred to as an “even-order torque command sine value component”) τes*(e) of the sine value component τes(e) and a command value (hereinafter, referred to as an “even-order torque command cosine value component”) τec*(e) of the cosine value component τec(e). Details thereof will be described below.
The subtractor 105u obtains a deviation Δτes(e) of the sine value component τes(e) from the even-order torque command sine value component τes*(e) and a deviation Δτec(e) of the cosine value component τec(e) from the even-order torque command cosine value component τec*(e). Specifically, equations Δτes(e)=τes(e)−τes*(e) and Δτec(e)=τec(e)−τec*(e) hold.
A plurality of orders e may be used. In this case, a plurality of even-order component extraction units 105p, a plurality of even-order torque command generation units 105t, and a plurality of subtractors 105u may be provided in the output torque even-order output unit 105G for respective orders e.
Description will be made below by taking, as an example, a case where the equations d=3 and e=2 hold for simplicity also in the present embodiment.
However, inputs into the PI control units 11h at the middle and at the bottom differ from those in the third embodiment. In the present embodiment, components for the odd order are considered for the ripple of the output torque, and components for the even order are considered for suppression of the peak value of the motor current. A sine value component τes(3), a cosine value component τec(3), and deviations Δτes(2) and Δτec(2) are thus used in place of the deviations Δτes(3) and Δτec(3), the sine value component τes(2), and the cosine value component τec(2) in the third embodiment, respectively.
The amplitude computing unit 1051, the phase computing unit 1052, the multipliers 1054, 1057, and 1058, the cosine value generation unit 1055, and the sine value generation unit 1056 are already described in the third embodiment, and thus description thereof is omitted herein.
In the present embodiment, however, the even order e is provided for the multiplier 1054 in place of the odd order d. The multiplier 1054 thus outputs not the product d·α but the product e·α.
The multiplier 1057 receives a cosine value cos(e·α+k) as an input in place of the cosine value cos(d·α) shown in the third embodiment. The multiplier 1058 receives a sine value sin(e≠α+k) as an input in place of the sine value sin(d·α) shown in the third embodiment.
In the present embodiment, the cosine value generation unit 1055 and the sine value generation unit 1056 each receive a value (e·α+k) as an input to obtain the cosine value cos(e·α+k) and the sine value sin(e·α+k). To obtain the value (e·α+k), the product e·α obtained from the multiplier 1054 and a shift amount k are added by the adder 1053b.
The multipliers 1057 and 1058 each receive a magnitude Te(e) of the even-order components as an input in place of the product g(d)·Te shown in the third embodiment. In the third embodiment, the product g(d)·Te input into each of the multipliers 1057 and 1058 is determined by the coefficient g(d) based on the rectangular wave and the magnitude Te of the fundamental wave components τe(1) of the output torque τe. However, suppression of the current using the components for the even order is further complicated for a reason described below, and it is necessary to perform calculation also using a 0th-order component τe(0) of the output torque τe.
Due to the need for such calculation, the 0th-order component extraction unit 1050 and the even-order amplitude computing unit 1059 are provided for the even-order torque command generation unit 105t. The 0th-order component extraction unit 1050 extracts the 0th-order component τe(0) from the output torque τe as a constant component thereof. The extraction itself is achieved by known technology, and thus description thereof is omitted.
In
As obvious from
When the magnitude Te(2) is equal to or smaller than the upper limit described above, a degree of suppression of the peak value of the motor current becomes conspicuous as the magnitude Te(2) increases, but, when the magnitude Te(2) takes a value greater than the upper limit, the peak value of the motor current may not be suppressed. It is thus desirable that the magnitude Te(2) take the upper limit. As described above, the magnitude Te(2) is obtained by the even-order amplitude computing unit 1059.
In
It is desirable that the shift amount k take the value π/2 when an equation e=2, 6, 10, . . . holds, and take a value 3π/2 when an equation e=4, 8, 12, . . . holds.
The output torque τe often satisfies the conditions on the area (III). Thus, configuration other than the configuration shown in
It is desirable to use (¼)·cos(3π/8) as the coefficient if an equation e=4 holds.
In some cases, there is no need to reduce the ripple of the output torque to for the odd order in the fifth embodiment. In this case, the output torque odd-order output unit 105F can be omitted from the configuration shown in the fifth embodiment.
In the present embodiment, the correction amount calculation unit 105h does not deal with the sine value component τes(d) and the cosine value component τec(d) for the odd order. Thus, there is no need to input the odd order d into the correction amount calculation unit 105h (see
The effect of reducing the peak value of the motor current can be obtained also in the present embodiment as in the fifth embodiment.
In the sixth embodiment, the even-order components of the output torque τe are considered to reduce the peak value of the motor current. Furthermore, the odd-order components of the output torque τe can be considered for the same purpose.
The effect of reducing the peak value of the motor current can be obtained also with such configuration as in the fifth embodiment.
However, the situation is further complicated to improve the peak value of the motor current by the interaction between the odd-order components and the even-order components.
When an inequation Te(0)≥K2·Te holds, the magnitude Te(2) of the 2nd-order components τe(2) and a magnitude Te(3) of the 3rd-order components τe(3) are calculated by the following equations (15) and (16):
When the magnitudes Te(2) and Te(3) are equal to or smaller than the respective upper limits described above, the degree of suppression of the peak value of the motor current becomes conspicuous as the magnitudes Te(2) and Te(3) increase, but, when the magnitudes Te(2) and Te(3) take values greater than the respective upper limits, the peak value of the motor current may not be suppressed. It is thus desirable that the magnitudes Te(2) and Te(3) take the respective upper limits.
For such a reason, by assuming that the conditions on the area (VI) are conveniently satisfied in the present embodiment, the even-order torque command generation unit 105t can use the configuration shown in
Alternatively, if the areas (IV) and (V) are considered, the even-order torque command generation unit 105t uses the configuration shown in
In a case where a fundamental wave frequency of the vibration torque τv corresponds to the equation n=2 as in a case where the mechanical load is the two-cylinder compressor, it is obvious that the third to seventh embodiments are applicable by translating the odd number d in the above-mentioned description into an integer 2·d and translating the even number e in the above-mentioned description into an integer 2·e.
The primary magnetic flux command generation device 103 includes a 0th-order component extraction unit 103a, an nth-order component extraction unit 103b, a composite value calculation unit 103c, an adder 103d, and a magnetic flux command setting unit 103e.
The 0th-order component extraction unit 103a performs the Fourier transform using the γc-axis current iγc as the function F(θm) in the equations (8) to obtain the value a0 as a 0th-order component iγc(0) of the γc-axis current iγc.
The nth-order component extraction unit 103b also performs the Fourier transform using the γc-axis current iγc as the function F(θm) in the equations (8) to obtain the value bn as a sine value component iγcs(n) of the γc-axis current iγc for the nth order and the value an as a cosine value component iγcc(n) of the γc-axis current iγc for the nth order.
The composite value calculation unit 103c combines the sine value component iγcs(n) and the cosine value component iγcc(n) as with the composite value calculation unit 11y to obtain a second γc-axis current correction value Δiγc2. The combination corresponds to obtaining a composite value of the nth-order components of the γc-axis current iγc as the second γc-axis current correction value Δiγc2.
The adder 103d adds the 0th-order component iγc(0) and the second γc-axis current correction value Δiγc2 to obtain a second corrected γc-axis current iγc2. The magnetic flux command setting unit 103e calculates the primary magnetic flux command Λδ* on the basis of the δc-axis current iδc and the second corrected γc-axis current iγc2.
While the function of the magnetic flux command setting unit 103e is known, for example, in Japanese Patent No. 5556875, the magnetic flux command setting unit 103e sets the primary magnetic flux command Λδ* by equations shown below by introducing the field magnetic flux Λ0 and a component Ld of the d axis and a component Lq of the q axis of inductance of the synchronous motor 3, for example. The q axis leads the d axis by an electrical angle of 90 degrees.
The primary magnetic flux control based on the primary magnetic flux command Λδ* determined using the equations (17) maximizes the torque with respect to the magnitude of the current [I]. The field magnetic flux Λ0 and the inductance of the synchronous motor 3 are instrumental constants of the synchronous motor 3, and thus can be stored in the primary magnetic flux command generation device 103.
It can be said that an angle β* is an angle by which a current Ia leads the q axis. It can be said that the current Ia is the absolute value of the current [I]. It can be said that the primary magnetic flux command Λδ* is obtained on the basis of the second corrected γc-axis current iγc2, the δc-axis current iδc, the field magnetic flux Λ0, and the inductance of the synchronous motor 3.
Alternatively, an equation Ia==√(id·id+iq·iq) may be used in place of the third equation of the equations (17) by introducing a d-axis component id and a q-axis component iq of the current [I]. Note that, in this case, relationships in equations (18) shown below are established by introducing the load angle φ and the amplitude Λδ of the primary magnetic flux (see Japanese Patent No. 5556875).
Instead of performing calculation in the equations (17), the magnetic flux command setting unit 103e may perform calculation using an approximation. Alternatively, the magnetic flux command setting unit 103e may store in advance a table including calculation results, and obtain the primary magnetic flux command Λδ* with reference to the table instead of performing sequential calculation.
As described above, by obtaining the primary magnetic flux command Λδ* in consideration of the nth-order components of the γc-axis current iγc, the primary magnetic flux control can be performed in response to a variation of the γc-axis current iγc, which is affected by the nth-order components of the output torque τe and the vibration torque τv. As can be seen from the equation (7), the γc-axis current iγc is a parameter relating to the output torque τe, is controlled so that an equation λγc=0 holds, in particular, in the primary magnetic flux control, and thus becomes a main parameter in a case where the primary magnetic flux command κδ* as a command value of the δc-axis component λδc of the primary magnetic flux is set in accordance with the output torque τe (because the number of pole pairs P is specific to the synchronous motor 3, and has a fixed value).
The primary magnetic flux command Λδ* may be set from the 0th-order component and the nth-order components of the output torque τe (regardless of whether this is a detected value or an estimated value). In this case, various amounts in the primary magnetic flux command generation device 103 are as shown in
According to the equations (18), the current Ia is also a parameter for setting the output torque τe, and, in consideration of the third equation of the equations (17), the δc-axis current iδc is also a parameter for setting the output torque τe. The primary magnetic flux command Λδ* may thus be set from a 0th-order component and nth-order components of the δc-axis current iδc. In this case, various amounts in the primary magnetic flux command generation device 103 are as shown in
Alternatively, in the primary magnetic flux command generation device 103, the 0th-order component extraction unit 103a, the nth-order component extraction unit 103b, the composite value calculation unit 103c, and the adder 103d shown in
Similarly, the load angle φ is also a parameter for setting the output torque τe, and thus the primary magnetic flux command Λδ* may be set from a 0th-order component and nth-order components of the load angle φ. In this case, various amounts in the primary magnetic flux command generation device 103 are as shown in
As described in the first embodiment, the γc-axis current iγc is a target of correction based on the nth-order components of the output torque τe and the vibration torque τv to correct the rotational speed command. It is thus desirable to use the same value or the same pair of values as the order n used in the first embodiment and as the order n used in the eighth embodiment. This provides the primary magnetic flux command Δδ* suitable for operation of the speed command correction device 12, and enables the primary magnetic flux control matching the corrected rotational speed command ωe*.
In the first embodiment, to suppress the ripple of the output torque τe and the vibration torque τv, only a ripple component thereof is used to perform calculation. In the eighth embodiment, however, there is a need to obtain the primary magnetic flux command corresponding to average torque, and thus the second corrected γc-axis current iγc2 is calculated also using the 0th-order component iγc(0), and the primary magnetic flux command Δδ* is calculated on the basis of the second corrected γc-axis current iγc2. The same applies to the other parameters.
The high-pass filter 110 is usually designed to always allow the first γc-axis current correction value Δiγc1 to pass therethrough. The modification shown in
While the invention has been described in detail, the foregoing description is in all aspects illustrative and not restrictive. It is therefore understood that numerous modifications not having been described can be devised without departing from the scope of the invention.
Number | Date | Country | Kind |
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2015-212695 | Oct 2015 | JP | national |
2016-000865 | Jan 2016 | JP | national |
2016-043398 | Mar 2016 | JP | national |
Filing Document | Filing Date | Country | Kind |
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PCT/JP2016/081865 | 10/27/2016 | WO | 00 |