The present invention relates to an acceleration controlling method for induction motor, and particularly, to an acceleration method for V/f controlled induction motor in flux-weakening region.
At present, AC speed regulating system with flux-weakening control strategy and high speed control performance has been widely used in the fields of spindle drive of numerical control machine tools and electric vehicles.
After the motor speed exceeds the base speed, since the output voltage of inverter reaches its maximum value, it is usually to reduce the magnetic flux in the induction motor, i.e. to reduce the back electromotive force by using flux-weakening controlling method, so as to meet required back electromotive force of rotor for increasing the motor speed. The traditional flux-weakening controlling method is to make the excitation of the rotor inversely proportional to the speed. However, the above controlling method can't provide the maximum output torque, seriously affecting the motor performance.
In the flux-weakening region of V/f controlled induction motor, a smaller stator frequency acceleration value cannot provide sufficient torque for speeding up the motor, so that the acceleration process of the rotor of the motor becomes longer. However, a larger stator frequency acceleration value can lead to overcurrent shutdown and system collapse. In addition, the leakage inductance parameter has a significant impact on the system stability when the motor speed exceeds the base speed. If the leakage inductance parameter is underestimated, there will be no stable operation point in the induction motor.
In order to solve the above-mentioned problems, an embodiment of the present invention provides an acceleration method for V/f controlled induction motor in flux-weakening region, which comprises the following steps:
1) acquiring no-load magnetizing current Im of the induction motor at current stator frequency;
2) selecting a smaller one of 0.5·Im(1/σ+1) and (Im2+σ)/(Im+σIm) as magnetizing current set point, in which σ is an estimated total leakage inductance coefficient;
3) getting an error signal by subtracting the magnetizing current of the induction motor from the magnetizing current set point; and
4) determining the stator frequency for the next control period according to the error signal which is provided as a controlling variable of negative feedback.
Preferably, in the step 4), getting a stator frequency acceleration value which is provided as a controlled variable according to the error signal which is provided as a controlling variable of negative feedback, and determining the stator frequency for the next control period according to the stator frequency acceleration value.
Preferably, in the step 4), setting the stator frequency for the next control period as a predetermined stator frequency when the determined stator frequency for the next control period is greater than the predetermined stator frequency.
Preferably, the negative feedback controller is a proportional integral controller, in the step 4), the stator frequency acceleration value is equal to the error signal multiplied by Kp+Ki/s, where Kp is a proportional adjustment coefficient, Ki is an integral adjustment coefficient, and s represents the frequency domain.
Preferably, the negative feedback controller is a proportional integral controller, in the step 4), the stator frequency acceleration value is equal to the error signal multiplied by (Kp+Ki/s)/ωe(n), where Kp is a proportional adjustment coefficient, Ki is an integral adjustment coefficient, s represents a frequency domain, and ωe(n) is a per unit value of the current stator frequency.
Preferably, in the step 1), getting the no-load magnetizing current by dividing a rated no-load magnetizing current of the induction motor by the per unit value of the current stator frequency.
Preferably, in the step 2), estimating the total leakage inductance coefficient according to an off-line parameter identification method of the induction motor.
An embodiment of the present invention provides a V/f controlling method, which comprises the above-mentioned acceleration method for V/f controlled induction motor in flux-weakening region.
An embodiment of the present invention provides an acceleration system for V/f controlled induction motor in flux-weakening region, which comprises:
a no-load magnetizing current acquiring device for acquiring no-load magnetizing current Im of the induction motor at current stator frequency;
a magnetizing current setting device for selecting a smaller one of 0.5·Im(1/σ+1) and (Im2+σ)/(Im+σIm) as magnetizing current set point, in which σ is an estimated total leakage inductance coefficient;
an error signal calculating device for getting an error signal by subtracting the magnetizing current of the induction motor from the magnetizing current set point; and
a stator frequency determining device for determining the stator frequency for the next control period according to the error signal which is provided as a controlling variable of negative feedback.
Preferably, the stator frequency determining device comprises:
a negative feedback controller for getting a stator frequency acceleration value which is provided as a controlled variable according to the error signal which is provided as a controlling variable of negative feedback, and
a stator frequency calculating device for determining the stator frequency for the next control period according to the stator frequency acceleration value.
Preferably, the stator frequency determining device further comprises a stator frequency limiting device for setting the stator frequency for the next control period as a predetermined stator frequency when the determined stator frequency for the next control period is greater than the predetermined stator frequency.
Preferably, the negative feedback controller is a proportional integral controller, the stator frequency acceleration value is equal to the error signal multiplied by Kp+Ki/s, where Kp is a proportional adjustment coefficient, Ki is an integral adjustment coefficient, and s represents the frequency domain.
Preferably, the negative feedback controller is a proportional integral controller, the stator frequency acceleration value is equal to the error signal multiplied by (Kp+Ki/s)/ωe(n), where Kp is a proportional adjustment coefficient, Ki is an integral adjustment coefficient, s represents a frequency domain, and ωe(n) is a per unit value of the current stator frequency.
Preferably, the no-load magnetizing current acquiring device is configured to get the no-load magnetizing current by dividing a rated no-load magnetizing current of the induction motor by the per unit value of the current stator frequency.
Preferably, the magnetizing current setting device is further configured to estimate the total leakage inductance coefficient according to an off-line parameter identification method of the induction motor.
An embodiment of the present invention provides a V/f controlling system, which comprises the above-mentioned acceleration system for V/f controlled induction motor in flux-weakening region.
The acceleration method of the present invention can provide the maximum output torque in flux-weakening region, has a fast acceleration under the condition of insuring the stability of the system, and has a larger tolerance for the error of the estimated leakage inductance coefficient.
Below, embodiments of the present invention are described in more detail with reference to the attached drawings, wherein:
In order to make the objects, technical solution and advantages of the present invention clearer, the present invention is further illustrated in detail by the specific embodiments below, with reference to the drawings. It should be understood that the specific embodiments described herein are used to explain the present invention and are not intended to limit the present invention.
The basic dynamic model of induction motor in d-q coordinates are represented by equations (1) and (2) as follows:
Where p is the differential operator, ψsd is the d-axis component of the stator flux linkage, ψrd is the d-axis component of the rotor flux linkage, ψsq is q-axis component of the stator flux linkage, ψrq is q-axis component of the rotor flux linkage, Lm, Ls and Lr are the excitation inductance, the stator inductance and the rotor inductance respectively, wherein Lm2=LsLr(1−σ), σ is the total leakage inductance coefficient, isd is d-axis component of the stator current, isq is q-axis component of the stator current, ird is d-axis component of the rotor current, irq is q-axis component of the rotor current, usd is d-axis component of the stator voltage, usq is q-axis component of the stator voltage, ωe and ωs are the stator frequency and slip frequency respectively, Rs and Rr are the stator resistance and the rotor resistance respectively.
Correspondingly, the output torque Te of the induction motor is represented by the equation (3) as follows:
Te=np(isqψsd−isdψsq) (3)
where np is the number of the pole-pairs.
The applicant has found in the study that when the induction motor is running at high speed in flux-weakening region, the stator resistance can be neglected since the stator frequency (i.e. the output frequency of transducer) is particularly high. Such conclusions have been drawn as follows: the voltage direction of the stator is consistent with the electromotive direction of the stator, and the steady-state and transient values of the d-axis component of the stator flux linkage are zero at the same time. Therefore, the stator flux linkage ψsdq meets ψsd=0, and ψsq=−usd/ωe can be obtained according to the equation (2), Te=npisdusd/ωe can be obtained according to the equation (3). It can be seen that the torque is proportional to the torque current. In order to make the induction motor output the maximum torque during the acceleration process in the flux-weakening region, isd must have the maximum value. Hereinafter, the applicant will derive the function relationship between the torque current isd and excitation current based on the electromotive force directional processing of the stator (i.e. the voltage direction of the stator is consistent with the electromotive direction of the stator).
By substituting the stator flux linkage ψsdq (satisfying ψsd=0, ψsq=−usd/ωe) into equation (1), it can be concluded that the rotor flux linkage must satisfy the following equation (4):
It is known that Tr=Lr/Rr, where Tr is the rotor time constant. By substituting the stator flux linkage ψsdq (satisfying ψsd=0, ψsq=−usd/ωe) into the equation (2), it can be concluded that the rotor flux linkage ψrdq must satisfy the following equation (5):
It is known that ωsm=Rr/σLs in case of ignoring the stator resistance, where Rr is the rotor resistance, and ωsm is the maximum slip frequency that can be operational. Due to Lr≈Ls≈Lm, substituting the equation (4) into the equation (5), the following equations (6a) and (6b) can be obtained:
It is known that the no-load magnetizing current Im=ImN·usN(p.u.)/ωe(p.u.), where ωe(p.u.) is a per unit value of synchronous frequency. When the voltage direction of the stator is consistent with the electromotive direction of the stator, usd(p.u.)=usN(p.u.), then ImImN·usd(p.u.)/ωe(p.u.). In the flux-weakening region, usd(p.u.)=1, so the no-load magnetizing current Im can be represented by equation (7) as follows:
Im=ImN/ωe(p.u.) (7)
It is known that ImN=usN/(Lr·ωeN), where usN is rated stator voltage, ωeN is rated synchronous frequency, Lr is rotor inductance, ImN represents rated no-load excitation current, so Im=usd/(Lr·ωe). Herein im represents the excitation current −isq, it represents the torque current isd. Since Lr≈Ls, by ignoring the differential terms in the equations (6a) and (6b), steady-state equations can be represented by equations (8a) and (8b) as follows:
According to equations (8a) and (8b), the relationship between the excitation current im and the torque current it can be represented by equation (9) as follows:
Since Te=npisdusd/ωe=npitusd/ωe, the output torque Te is proportional to the torque current it in condition that the stator frequency is constant. From the equation (9), the applicant found that it is possible to obtain the maximum torque current it and the maximum torque Te of the induction motor by controlling the excitation current im. Furthermore, from the equation (9), the applicant found that the torque current it has a maximum value when the excitation current im satisfies the following equation (10).
im=0.5·Im(1/σ+1) (10)
In order to make the induction motor have a stable operating point and avoid system collapse, the excitation current im also needs to meet Im≤im≤Im/σ. In any case, the no-load excitation current Im≤the excitation current im, so the excitation current im satisfies the following equation (11):
im≤Im/σ=ImN/[σ·ωe(p.u.)] (11)
In addition, in order to avoid overcurrent which may cause burn-out of the motor, the excitation current im and the torque current it must satisfy the following equation (12) representing maximum current limiting condition.
im2+it2≤Is,max2 (12)
Where Is,max is per unit value of maximum current of the stator, im and it are per unit values.
In order to clearly show the relationship between the excitation current and the torque current, a Cartesian coordinate system is built, wherein the excitation current im is the horizontal ordinate and the torque current it is the vertical ordinate.
im,optB=(Im2+σ)/(Im+σIm) (13)
At a certain stator frequency, when the excitation current calculated by the equation (10) is greater than the excitation current calculated by the equation (13), the excitation current calculated by the equation (13) is substituted into the equation (9) so as to obtain the maximum allowable torque current (i.e. the maximum output torque). The arc segment BC in
Based on the above results, the applicant adjusts the acceleration value of the stator frequency by using the excitation current. The closed loop negative feedback control is used to calculate the excitation current set point corresponding to the maximum torque current according to the stator frequency, the difference between the excitation current set point and the actual excitation current of the induction motor is provided as the controlling variable, and the stator frequency acceleration value is provided as the controlled variable. The rising rate of the stator frequency is controlled so that the induction motor has the maximum output torque in the process of controlling the stator frequency accelerating.
A simulation platform is developed to verify the acceleration method of the present invention. The system parameters are as follows: the number of the pole pairs=2, input voltage=380v, input frequency=50 Hz, output power=3 hp (2.2 kw), inverter switching frequency=10 kHz, the torque load is 5% of the rated load. By using the per unit value processing, the stator frequency increases from 0.04 p.u. to 8 p.u. (400 Hz) at different acceleration processes.
In another embodiment of the present invention, both the proportional adjustment coefficient Kp and integral adjustment coefficient Ki of the PI controller are divided by the per unit value of the stator frequency ωe(n), so, the controlled variable Acc=ei(Kp+Ki/s)ωe(n). Therefore, the larger the stator frequency is, the smaller the parameter of the PI controller is, which is in favor of the stator frequency increasing gradually.
In another embodiment of the present invention, the PI controller of the above embodiment can be replaced by other negative feedback controllers such as PID controller. The control parameters of the negative feedback controllers are not limited herein.
In other embodiments of the present invention, the no-load magnetizing currents at different stator frequencies are measured directly when the induction motor is in no-load condition.
The present invention further provides a V/f controlling method comprising the above-mentioned acceleration method.
According to an embodiment of the present invention, an acceleration system for V/f controlled induction motor in flux-weakening region is also provided. As shown in
The no-load magnetizing current acquiring device 71 acquires no-load magnetizing current Im by dividing the rated no-load magnetizing current ImN by the per unit value of current stator frequency ωe(n). The magnetizing current setting device 72 selects a smaller one of 0.5·Im(1/σ+1) and (Im2+σ)/(Im+σIm) as magnetizing current set point imset, in which a is an estimated total leakage inductance coefficient. The magnetizing current setting device 72 can estimate total leakage inductance coefficient σ according to an off-line parameter identification method of the induction motor. The error signal calculating device 73 is configured to get an error signal ei by subtracting the magnetizing current im of the induction motor from the magnetizing current set point imset. The PI controller 74 is configured to get a stator frequency acceleration value Acc which is provided as a controlled variable according to the error signal ei which is provided as a controlling variable. A person skilled in the art can design and adjust a reasonable proportional adjustment coefficient Kp and an integral adjustment coefficient Ki according to the controlling variable and the controlled variable of the PI controller 74. Therefore, the stator frequency acceleration value Acc=ei(Kp+Ki/s), where s represents the frequency domain. The stator frequency calculating device 75 is configured to calculate the stator frequency for the next control period according to the stator frequency acceleration value Acc and ωe(n+1)=ωe(n)+Acc·Ts, where Ts is pulse width modulation period. In another embodiment of the present invention, the acceleration system 70 further comprises a stator frequency limiting device, which is configured to set the stator frequency for the next control period to be ωe(n+1) if ωe(n+1) is not greater than the predetermined stator frequency ωref, and set the stator frequency for the next control period to be ωref if ωe(n+1) is greater than the predetermined stator frequency ωref.
In another embodiment of the present invention, the controlled variable of the PI controller is equal to the error signal e1 multiplied by (Kp+Ki/s)/ωe(n), where Kp is a proportional adjustment coefficient, K1 is an integral adjustment coefficient, and s represents a frequency domain, ωe(n) is a per unit value of the current stator frequency.
An embodiment of the present invention further provides a V/f controlling system which comprises the above-mentioned acceleration system.
Although the present invention has been described with preferred embodiments, but the present invention is not limited to the embodiments described herein, and comprises various modifications and alterations, without departing from the scope of the invention.
Number | Date | Country | Kind |
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2014 1 0437801 | Aug 2014 | CN | national |
Filing Document | Filing Date | Country | Kind |
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PCT/CN2015/088024 | 8/25/2015 | WO | 00 |
Publishing Document | Publishing Date | Country | Kind |
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WO2016/029840 | 3/3/2016 | WO | A |
Number | Name | Date | Kind |
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5612605 | Tao | Mar 1997 | A |
7039542 | Fujii | May 2006 | B2 |
7956637 | Lu | Jun 2011 | B2 |
20120098472 | Wrobel | Apr 2012 | A1 |
Number | Date | Country |
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102098000 | Jun 2011 | CN |
103701393 | Apr 2014 | CN |
103840732 | Jun 2014 | CN |
2014150644 | Aug 2014 | JP |
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Number | Date | Country | |
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20170257041 A1 | Sep 2017 | US |