The present invention generally relates to electric motor systems, and more particularly relates to a method and apparatus for sensorless start-up of a permanent magnet alternating current (AC) electric motor in an electric motor system.
During start-up acceleration of a permanent magnet alternating current (AC) electric motor in accordance with conventional algorithms that estimate the rotor position based on the voltage and current without using the rotor position or speed sensor (i.e., in accordance with “sensorless algorithms”), a current vector position is forced to increase with a fixed profile and a position of a rotor of the motor is expected to lag behind the current vector position, while a current amplitude is controlled to be constant. If there is a big load torque required during the start up sequence, then current is set high enough to generate the required startup torque, while in the light load condition, the current introduces transient oscillations of the angle difference between the current vector and the rotor position in the motor. These transient oscillations generate undesired mechanical oscillations in the permanent magnet AC motor during startup thereof.
Accordingly, it is desirable to provide a method and apparatus for start-up of a permanent magnet AC motor in an electric motor system reduced mechanical oscillations. In addition, it is desirable to prevent current overshoot during a sensorless start up of a permanent magnet AC motor. Furthermore, other desirable features and characteristics of the present invention will become apparent from the subsequent detailed description and the appended claims, taken in conjunction with the accompanying drawings and the foregoing technical field and background.
A method is provided for startup of a permanent magnet alternating current (AC) motor. The method comprises the steps of detecting startup of the permanent magnet AC motor; detecting a mechanical oscillation of the permanent magnet AC motor when startup of the permanent magnet AC motor is detected; and, in response to detection of the mechanical oscillation of the permanent magnet AC motor when startup is detected, suppressing the mechanical oscillation of the permanent magnet AC motor.
In addition, a controller is provided for generating torque command currents for control of a permanent magnet AC motor. The controller comprises a current ripple detector, a startup torque command module, a torque-to-current converter and a startup switch controller. The current ripple detector detects a current ripple in stator currents of the permanent magnet AC motor and generates a current ripple signal in response thereto. The startup torque command module is coupled to the current ripple detector and modifies a predetermined startup torque command in response to the current ripple signal to generate a torque command. The torque-to-current converter converts the torque command to torque command currents, and the startup switch controller couples the startup torque command module to the torque-to-current converter after startup of the permanent magnet AC motor while a speed of the permanent magnet AC motor is less than a predetermined speed.
Further, an electric motor system is provided, the electric motor system comprising a permanent magnet AC motor, a field orientation controller and a controller. The field orientation controller is coupled to the permanent magnet AC motor for modifying phase currents supplied to the permanent magnet AC motor to provide electric control therefore. The controller is coupled to the phase currents and comprises a current ripple detector, a startup torque command module, a torque-to-current converter and a startup switch controller. The current ripple detector detects a current ripple in the phase currents of the permanent magnet AC motor and generates a current ripple signal in response thereto. The startup torque command module is coupled to the current ripple detector for modifying a predetermined startup torque command in response to the current ripple signal to generate a torque command. And the torque-to-current converter converts the torque command to torque command currents. The startup switch controller couples the startup torque command module to the torque-to-current converter after startup of the permanent magnet AC motor while a detected speed of the permanent magnet AC motor is less than a predetermined speed. The field orientation controller is further coupled to the torque-to-current converter for modifying the phase currents for control of the permanent magnet AC motor in response to pulse width modulated currents generated in response to the torque command currents.
The present invention will hereinafter be described in conjunction with the following drawing figures, wherein like numerals denote like elements, and
The following detailed description is merely exemplary in nature and is not intended to limit the invention or the application and uses of the invention. Furthermore, there is no intention to be bound by any expressed or implied theory presented in the preceding technical field, background, brief summary or the following detailed description.
The oscillatory response of a permanent magnet alternating current (AC) motor (PMAC) without a shaft sensor is well known, and its mechanical behavior is modeled in Equation (1), assuming a constant current vector is rotated during the sensorless start-up sequence:
where Jm is the inertia of the motor, Bm is the friction coefficient, TL is the (constant) load torque, KT is the torque constant of PMAC, is is the amplitude of the motor current, θr is the rotor position, and θe is the angular position of the stator current vector. During startup acceleration in accordance with most conventional startup algorithms, the current vector position θe is forced to increase with a fixed profile and the current amplitude is is controlled to be constant. Accordingly, the rotor position θr is expected to lag behind the stator current angle.
The rotor position θr has a relation with the current vector position θe as shown in Equation (2), and the amplitude of the motor current is defined as shown in Equation (3).
θe=θr+Δ+δ (2)
is=Is+ĩs (3)
where δ is the small-signal portion of the position difference, and Δ defines the average position difference between the current vector and the rotor position. Is is the average current amplitude, ˜ and means the small-signal current variations. If there is a heavy load torque required during the startup sequence, then Is should be set to generate enough startup torque and Δ tends to be close to +π/2. In a light load condition, Δ converges to 0. The small-signal portion of the position difference δ represents the transient oscillation of the angle difference between the current vector and the rotor position. Therefore, Equation (1) can be approximated as shown in Equation (4) assuming that the small-signal portion of the position difference δ is small.
The first term on the right side of Equation (4) accounts for the acceleration torque during startup, and the second and third terms are related to the oscillatory response. In a steady state, the oscillation during startup is modeled as shown in Equation (5) by dropping the first term on the right side of Equation (4).
In Equation (5), the mechanical oscillation is excited by the current variation and its natural frequency of oscillation is determined by the inertia Jm and the average current. As the mechanical friction becomes smaller with respect to the inertia Jm, the mechanical system as represented in Equation (5) tends to be more oscillatory. This mechanical oscillation can also excite the oscillation of the motor current. The circuit equation of the PMAC motor can then be approximated in the complex form as shown in Equation (6), neglecting the effect of the motor resistance.
{right arrow over (V)}s=jNrLs{right arrow over (I)}s+jNrΨfe−j(Δ+δ)=jNrLs{right arrow over (I)}s+{right arrow over (E)} (6)
where Vs is the motor voltage, Ls is the stator inductance, rs is the stator resistance, and Ψf is the magnetic flux created by the permanent magnet, Nr is the motor speed, j stands for the imaginary unit of the complex number, and → stands for the complex vector quantity.
Referring to
If the current controller is not fast enough to regulate the current, then the motor voltage (i.e., the output of the current controller) will vary slowly. The vector diagram 100 represents a steady-state vector diagram when there is no oscillation of the motor position or the current amplitude. The current vector {right arrow over (I)}s 110 leads the magnetic flux vector 104 by a position difference Δ 114. Referring to vector diagrams 120 and 130, the position of the voltage vector 106 is unchanged from the position of the voltage vector 106 in
Referring to
In most case, the sensorless algorithm module 248 can provide accurate estimation results at high speed. However, such estimation is practically impossible at zero speed or in a low speed region where the motor voltage is too small to be used for the estimation. In such cases, in accordance with the present embodiment, the switches 240 and 242 are set to “start-up mode”, thereby allowing acceleration based on the torque and speed commands. During this acceleration, the PMAC motor 210 can exhibit mechanical oscillation.
The controller 230 utilizes two methods to suppress the mechanical oscillation of the PMAC motor 210 during the startup sequence to provide faster acceleration during startup with increased startup torque limits without increasing phase current protection limits. One method calls for adjusting the current amplitude Is to suppress the source of the mechanical oscillation shown in Equation (5), and the other method calls for adjusting the current vector position θe to dampen the oscillatory response shown in Equation (5).
In accordance with the present embodiment, the controller 230 includes a current ripple detector 232 for detecting a current ripple in stator currents of the three phases 225. The current ripple detector 232 generates a current ripple signal in response to the stator currents and a startup torque command module 234 modifies a predetermined startup torque command T**e(start) in response to the current ripple signal to generate a torque command T*e for provision to the torque-to-current converter 236. The torque-to-current converter 236 converts the torque command T*e to the current command i*sd, i*sq for provision to the field orientation controller 220. A startup rotor position module 238 is also coupled to the current ripple detector 232 and modifies the speed command N*T in response to the current ripple signal to generate a startup rotor position signal θ*r, the startup rotor position signal θ*r also being provided to the field orientation controller 220.
For switching from startup mode to high speed sensorless operation, the first startup switch controller 240 and the second startup switch controller 242 operate to place the controller 230 in a startup mode operation when the speed of the PMAC motor 210 is detected or presumed to be less than a predetermined speed and in a high speed sensorless mode when the speed of the PMAC motor 210 is detected or presumed to be greater than or equal to the predetermined speed. The first startup switch controller 240 couples the startup torque command module 234 to the torque-to-current converter 236 after startup of the PMAC motor 210 while the detected speed of the PMAC motor 210 is less than the predetermined speed. When the detected speed of the PMAC motor is more than the predetermined speed, the first startup switch controller 240 couples the speed controller 244 to the torque-to-current converter 236 for sensorless control of the PMAC motor 210 at speeds greater than the predetermined speed. The input to the speed controller 244 is a signal from a summer 246 which calculates the difference between the speed command N*T and a high speed sensorless speed signal Nr^ generated by the high speed sensorless algorithm module 248 in response to the sensed currents and voltages of the phases 225.
The second startup switch controller 242 couples the startup rotor position module 238 to the torque-to-current converter 236 after startup of the PMAC motor 210 while the detected speed of the PMAC motor 210 is less than the predetermined speed. When the detected speed of the PMAC motor is more than the predetermined speed, the second startup switch controller 242 couples the high speed sensorless algorithm module 248 to the torque-to-current converter 236 to receive a sensorless rotor position signal θr^ therefrom, the sensorless rotor position signal θr^ also generated by the high speed sensorless algorithm module 248 in response to the sensed currents and voltages of the phases 225.
During the startup mode, the torque command is fixed to be T**e(start) and the rotor position for the motor control θe is set to be the commanded position θ*r that is calculated by an integrator 250 of the startup rotor position module 238 to be the integral of the commanded speed N*r. The current ripple signal from the current ripple detector 232 is utilized to modify fixed startup torque T**e(start) and the commanded position θ*r by a torque damping signal ΔTdamp and a speed damping signal ΔNdamp, respectively. The torque damping signal ΔTdamp is generated by a torque dampening module 252 in response to the current ripple signal and the fixed startup torque T**e(start) is modified at a startup torque command summer 254 by subtracting the torque damping signal ΔTdamp from the fixed startup torque T**e(start), thereby generating the torque command for provision during the startup mode to the torque-to-current converter 236. Likewise, the speed damping signal ΔNdamp is generated by a speed dampening module 256 in response to the current ripple signal and the speed command N*r is modified at a startup speed summer 258 by subtracting the speed damping signal ΔNdamp from the speed command N*r, the difference provided to the integrator 250 to generate the commanded position θ*r for provision to the field orientation controller 220 during the startup mode.
The actual rotor position θr is supposed to follow the commanded position θr. After reaching the predetermined speed, which is determined to be a sufficient speed level at which the high speed sensorless controller 248 can work properly, the first and second startup switch controllers 240, 242 switch the controller 230 from startup mode operation to sensorless mode operation.
Referring to
A current amplitude adjustment module 320 generates a current amplitude signal representing a current amplitude of the motor current from the three stator currents. A three to two conversion block 322 converts the three-phase stator currents into two-phase (orthogonal) currents. First and second squaring blocks 324, 325 square each of the orthogonal currents, a summer 326 adds the squares of the currents and a square root block 328 generates a current amplitude signal is. A current ripple summer 330 generates the current ripple signal ĩs as the difference between the expected current response Î*s and the current amplitude signal is. The current ripple signal ĩs is representative of the ripple current that is the result of the oscillations shown in Equations (5) and (6) above.
The output of the current ripple detector 232 is utilized to calculate the compensation values for the torque command and the speed command, respectively, by the torque dampening module 252 GT and the speed dampening module 256 GN. The speed dampening module 256 GN converts the current ripple into the speed damping signal to dampen the response of the oscillation shown in Equation (5). Referring back to
In the opposite case, as shown in
The torque dampening module 252 GT functions in a similar manner. As shown in Equation (6), the current is determined by the motor voltage and the back EMF. In a start-up sequence having the behavior shown in Equation (6), it is difficult to control the current due to the disturbance caused by the oscillation of the back EMF, thereby possibly resulting in over-current failure. The torque damping signal from the torque dampening module 252 GT in accordance with the present embodiment reduces the torque command when the motor is not able to follow the commanded current in order to prevent such over-current failure. At the same time, the torque damping signal suppresses the source of the mechanical oscillation shown in Equation (5) as the right-side term. Similarly to the speed damping signal, the original torque command T**e(start) is subtracted from the torque damping signal output from the torque dampening module 252 GT.
In accordance with the present embodiment, the controller 230 can be implemented using both the torque dampening module 252 GT and the speed dampening module 256 GN, or the controller 230 can be implemented using only of the torque dampening module 252 GT or the speed dampening module 256 GN. In addition, both the torque dampening module 252 GT and the speed dampening module 256 GN may be implemented using constant values or may be implemented in the form of a frequency function.
Thus it can be seen that a method for startup of the PMAC motor 210 includes detecting startup of the motor 210 and activating the first and second startup switch controllers to operate the controller 230 in the startup mode. Startup of the motor 210 is defined as operation of the motor 210 at speeds less than the predetermined speed necessary for adequate operation of the high speed sensorless controller 248. During the startup mode operation of the controller 230, the current ripple detector 232 detects the mechanical oscillations of the PMAC motor 210 by detecting the current ripple in the stator currents of the phases 225.
While a particular implementation of the current ripple detector 232 has been shown in
Referring next to
Referring to graph 430 of
The voltage and current amplitudes of the motor 210, Vs and Is, are depicted as traces 442 and 444 on graph 440 of
Referring to
Referring to
Referring to
Referring to
Referring to
While at least one exemplary embodiment has been presented in the foregoing detailed description, it should be appreciated that a vast number of variations exist. It should also be appreciated that the exemplary embodiment or exemplary embodiments are only examples, and are not intended to limit the scope, applicability, or configuration of the invention in any way. Rather, the foregoing detailed description will provide those skilled in the art with a convenient road map for implementing the exemplary embodiment or exemplary embodiments. It should be understood that various changes can be made in the function and arrangement of elements without departing from the scope of the invention as set forth in the appended claims and the legal equivalents thereof.
Number | Name | Date | Kind |
---|---|---|---|
4882524 | Lee | Nov 1989 | A |
4912379 | Matsuda et al. | Mar 1990 | A |
5585709 | Jansen et al. | Dec 1996 | A |
6362586 | Naidu | Mar 2002 | B1 |
6494451 | Michel | Dec 2002 | B2 |
Number | Date | Country | |
---|---|---|---|
20090261775 A1 | Oct 2009 | US |