The present invention generally relates to the control of synchronous motors. More specifically, the present invention relates to a system and method for position-sensorless control of a synchronous electric motor using position and velocity estimation during motor operation.
For high-speed synchronous motors, many types of motor control technologies have been adopted. Vector control is an accurate method of synchronous motor operation. Such a control system, however, is computationally intensive. A vector control method typically maps three-phase motor voltages and currents into a two-axis system. To accomplish this mapping, the vector control system requires precise rotor information, for example, rotor angular position and speed. Traditionally, feedback devices, such as resolvers, encoders or Hall Effect sensors, have been used to provide motor speed and rotor position information to the motor controller for motor control.
Recently, many types of turbo machinery have adapted high-speed synchronous motors as a power source. These types of machines may operate at rotational speeds of 150 krpm and beyond. It is very difficult to find feedback devices or sensors for such high operating speeds. Sensors that currently exist for such high speed turbo machines tend to be expensive and have low reliability. In addition, existing position sensors often limit system configuration options. These factors become prohibitive in high volume applications, such as for control systems used in industrial turbo-blowers and turbo-compressors.
If position sensors could be eliminated from a control system for a high-speed turbo machinery synchronous motor without affecting operation and efficiency of the motor and the turbo machine in which it is used, manufacturing costs could be significantly reduced while the reliability of the motor could be improved. Position-sensorless control can obtain rotor information from the electromagnetic characteristics of the synchronous motor and thus eliminate the need for a feedback sensor. Various position-sensorless vector control schemes already exist which may accomplish the task. These can be acquired from various vendors in application notes or through other means. However, existing methods are limited in various abilities.
For example, some common limitations on existing position-sensorless control schemes include: some control methods are not able to maintain control at extremely high speeds; and some control methods are limited in responsiveness to changes in load, torque and commanded speed. In addition, some controller configurations are limited in power and thus are not useful in certain applications like high-speed turbo machinery. Moreover, components and methods that are successful in lower power applications are often not relevant to all varieties of synchronous motors, especially high speed motors. For these reasons, an improved control method, specifically for use in turbo-machinery operating at high speeds, is necessary.
The proposed position-sensorless control system and method of operation for a synchronous motor in accordance with the present invention avoids the drawbacks common to existing control systems and position-sensorless control systems, such as those discussed above, by using position and velocity estimation. The proposed position-sensorless control system can be used in turbo machinery operating at extremely high speeds without affecting the operation and efficiency of the synchronous motor. The present position-sensorless control system can accommodate such high speeds while also having the ability to respond to changes in load, torque, and commanded speed, all while improving system reliability.
The present invention is directed to a method and apparatus for a sensorless control system used in high-speed synchronous motors, including synchronous motors especially used in high-speed turbo machinery. The sensorless motor control system of the present invention includes an angular position estimation method and an angular velocity estimation method.
In one aspect of the present invention, a control system for an electric motor including a stator and a rotor comprises an inverter for providing power to the motor, and a controller for controlling the inverter. The inverter is controlled by the control system of the present invention via transmission of control commands for operation of the motor. The controller comprises a sensorless block, an estimated angle error detector block, a field-weakening block, and a torque-to-current converter block. The sensorless block estimates the angular position and velocity of the motor rotor and generates an estimated rotor angular position feedback signal and an estimated rotor angular velocity feedback signal. The estimated angle error detector block detects the difference between the estimated rotor angular position and a real rotor angular position, wherein the detected angular position difference is used by the sensorless block to estimate the estimated rotor angular position. The field-weakening block uses the estimated rotor angular velocity feedback signal from the sensorless block to command direct axis current and generate a torque feedback signal. The torque-to-current converter block uses the torque feedback signal generated by the field-weakening block to derive a torque current component for the motor control command. The estimated rotor angular position feedback signal is also used to generate the motor control command.
The control system of the present invention may be used in a power train for a blower/compressor system. The power train comprises an electric motor functionally coupled to the impeller of the blower/compressor system, an inverter for providing power to the motor, and a controller for controlling the inverter. The controller comprises an estimated angle error detector block and a sensorless block. The sensorless block estimates the angular position and velocity of the motor rotor. The estimated angle error detector block detects the difference between the estimated rotor angular position and the real rotor angular position, and the controller generates a command transmitted to the inverter for operation of the motor based, in part, on the estimated angular position and velocity and the detected angular position difference. The controller can also include a field-weakening block and a torque-to-current converter block that operate to generate control commands for operation of the motor.
In another aspect, the present invention is directed to a method for controlling an electric motor including a stator and a rotor. The method comprises the steps of estimating the angular position of the motor rotor and detecting the difference between the estimated rotor angular position and the real rotor angular position. A sensorless block is provided to estimate the rotor angular position as well as the rotor angular velocity. An estimated angle error detector block is provided to detect the difference between the estimated rotor angular position and the real rotor angular position. The detected difference of rotor angular position is used, in part, to generate a command transmitted to the inverter for operation of the motor. The detector block can be in a simplified form.
In additional aspects of the method for controlling the motor, the method comprises the steps of generating an estimated rotor angular velocity feedback signal; transmitting said estimated rotor angular velocity feedback signal to a field-weakening block of the controller; using the estimated rotor angular feedback signal to control direct axis current and to generate a torque feedback signal; transmitting said torque feedback signal to a torque-to-current converter block of the controller; and using the torque feedback signal to derive a torque current command for motor operation control. Further, the method comprises the steps of generating an estimated rotor angular position feedback signal; and using the estimated rotor angular position feedback signal to generate a command for motor operation control.
The sensorless motor control system of the present invention includes advancements in rotor angular position and angular velocity estimation methods, which account for differences between the direct and quadrature axes of a motor.
These and other features of the present invention are described with reference to the drawings of preferred embodiments of a system and method for implementing position-sensorless control of a synchronous motor. The illustrated embodiments of the system in accordance with the present invention are intended to illustrate, but not limit, the invention.
The present invention is generally directed to a control system for sensorless control of high-speed motors, including synchronous electric motors especially used in high-speed turbo machinery, such as turbo blowers and turbo compressors. Preferably, the control system is used with synchronous electric motors, such as AC synchronous motors, interior permanent magnetic motors, surface permanent magnetic motors, and the like.
The control system 100 is preferably a phase locked loop (PLL) controller whereby the operation of the motor 7 is automatically adjusted and controlled without the use of feedback devices or sensors. The input to the control system 100 is a torque command Te generated by the blower or compressor controller for desired motor operation. The torque command Te is processed by a Torque-to-Current Converter Block 1, which generates a torque current command îqsr-ref to derive the desired electromagnetic torque in and for the motor 7. As described below and shown in
As shown in
A field-weakening stator current command îdsr-ref is generated at a Field-Weakening Block 2 based on feedback regarding measured DC link voltage Vdc and rotor angular velocity {circumflex over (ω)}r. The field-weakening stator current command îdsr-ref is used to control direct axis (d-axis) current, as discussed below. The Field-Weakening Block 2 also generates a torque feedback signal, namely, a torque-to-current constant kt, which is used in the Torque-to-Current Converter Block 1 to derive the proper system command for motor control and operation.
Summing junction 13 subtracts a calculated q-axis stator torque current îqsr from the q-axis stator torque current command îqsr-ref to generate a q-axis error value. Summing junction 24 subtracts a calculated d-axis stator field current îdsr from the d-axis stator field current command îdsr-ref to generate a d-axis error value. The q-axis error value generated by summing junction 13 is processed by Proportional Integral (PI) Control Block 3 to generate a q-axis feedback control output {circumflex over (v)}qs-fbr. The d-axis error value generated by summing junction 24 is processed by Proportional Integral (PI) Control Block 4 to generate a d-axis feedback control output {circumflex over (v)}ds-fbr.
The q-axis feedback control {circumflex over (v)}qs-fbr is summed at summing junction 35 with a q-axis feed forward stator resistance voltage drop decoupling term {circumflex over (v)}qs-ffr (i.e., stator resistance voltage drop (rsîqsr) plus speed voltage ({circumflex over (ω)}Ldîdsr+{circumflex over (ω)}λf)) to produce a q-axis voltage command {circumflex over (v)}qsr. The d-axis feedback control output {circumflex over (v)}ds-fbr is summed at summing junction 45 with a d-axis feed forward stator resistance voltage drop decoupling term (i.e., stator resistance voltage drop (rsîdsr) plus speed voltage ({circumflex over (ω)}Lqîqsr)) to produce a d-axis voltage command vdsr. More particularly, the q-axis and d-axis voltage commands, {circumflex over (v)}qsr and vdsr, are stator flux reference frame voltage commands.
The q-axis and d-axis stator flux reference frame voltage commands, {circumflex over (v)}qsr and {circumflex over (v)}dsr, respectively, are processed at a Rotating-to-Stationary Frame Transformation Block 5 using an estimated angular position value {circumflex over (θ)} to convert the reference frame voltage commands {circumflex over (v)}qsr and {circumflex over (v)}dsr to the stationary frame voltage commands vα and vβ that generate the actual phase voltage commands applied to the electric motor 7 by the inverter 6.
The voltage source inverter 6 processes the final voltage commands vα and vβ using a two-phase to three-phase transformation to generate the actual three-phase voltages to be applied to the motor 7.
The actual three-phase stator terminal currents are measured and processed by a three-phase to two-phase Transformation Block 8. The outputs of the Transformation Block 8 are stationary frame currents Iα and Iβ, which are supplied to a Stationary-to-Rotating Frame Transformation Block 9.
The Stationary-to-Rotating Frame Transformation Block 9 uses the stationary frame currents Iα and Iβ and the estimated rotor angular position {circumflex over (θ)} to generate rotor flux reference frame feedback currents îdsr and îqsr.
A Sensorless Block 10 of
The Sensorless Block 10 includes an Estimated Angle Error Detector Block 11 that uses the output voltage ({circumflex over (v)}ds-fbr) of PI Control Block 4, estimated rotor angular velocity {circumflex over (ω)}, controller estimated d- and q-axis currents (or rotor flux reference frame feedback currents) îdsr and îqsr, and motor parameters rs and Ld to estimate an angle error θerror connoting the difference between the estimated rotor angular position and the real rotor angular position.
As shown in
As further shown in
1.1 Current Controller and Estimated Angle Error Detector
In a PMSM with which the control system 100 in accordance with the present invention can be used (
where vdsr, vqsr and idsr, iqsr are voltages and currents in the dr- and qr-axes, rs is the stator winding resistance, Ld and Lq are inductance in the dr- and qr-axes, λdsr, λqsr are flux linkages in dr- and qr-axes, λf is the main flux linkage of the permanent magnet, and ωr is the angular velocity of rotor.
In the steady-state, vdsr, vqsr can be written as:
vdsr=rsidsr−ωrLqiqsr (5)
vqsr=rsiqsr+ωr(Ldidsr+λf) (6)
If the estimated angle {circumflex over (θ)}, differs from the real angle θ, as shown in
θerror={circumflex over (θ)}−θ (7)
The voltage equation in estimated axes {circumflex over (d)}r and {circumflex over (q)}r can be represented as follows,
where {circumflex over (v)}dsr and {circumflex over (v)}qsr are voltages in the estimated axis, {circumflex over (d)}r and {circumflex over (q)}r.
A steady-state {circumflex over (v)}dsr and {circumflex over (v)}qsr can be determined with Equations (5), (6) and (8).
{circumflex over (v)}dsr=cos θerror(rsidsr−ωrLqiqsr)+sin θerror(rsiqsr+ωrLdidsr+ωrλf) (9)
{circumflex over (v)}qsr=sin θerror(rsidsr−ωrLqiqsr)+cos θerror(rsiqsr+ωrLdidsr+ωrλf (10)
{circumflex over (v)}ds-ffr=rsîdsr−ωLqîqsr (11)
{circumflex over (v)}qs-ffr=rsîqsr+{circumflex over (ω)}(Ldîdsr+λf) (12)
where îdsr and îqsr are the controller estimated d- and q-axis currents.
In steady state,
{circumflex over (v)}dsr={circumflex over (v)}ds-fbr+{circumflex over (v)}ds-ffr (13)
{circumflex over (v)}ds-fbr={circumflex over (v)}dsr−{circumflex over (v)}ds-ffr (14)
If θerror is small, i.e., θerror=0, and ωr≈{circumflex over (ω)}r, we can approximate,
From Equation (15), the estimated error θerror, can be approximated with some additional assumptions.
In operation, the controller doesn't know the real d- and q-axis currents idsr, iqsr, or real speed ωr, so the controller will use estimated currents îdsr, îqsr and estimated speed {circumflex over (ω)}r at an estimated angle error detector.
In most cases, the stator resistance voltage drop (rsîqsr) is insignificant, rsîqsr<<(ωrLdidsr+ωrλf), so the error detection formula can be further simplified as shown in the following equation:
This method is shown in the Estimated Angle Error Detector Block diagram of
In certain cases, îdsr is very close to êdsr-ref can be used in the angle error equation as shown in Equation (19).
This version of the Equation, of course, can be simplified as in the previous case.
1.2 Estimated Angle and Velocity
Sensorless Block 10 of
The value of gain kp and ki can be set properly according to an application using well known response characteristics of the second order system. An example of PI gains is shown in Equation (22).
kp=√{square root over (2)}·ωc,ki=ωc2 (22)
where ωc is the transition frequency.
The estimation method carried out by the representation in
1.3 Field-Weakening
The field-weakening component idsr is generated by the Field-Weakening Block 2 using the measured DC link voltage Vdc and the rotor angular velocity {circumflex over (ω)}r inputs. The Field-Weakening Block 2 also generates a torque-to-current constant kt, which is fed back to the Torque-to-Current Converter Block 1.
The input to the control system 100 is the torque command Te generated by a system controller. The torque command Te is processed by the Torque-to-Current Converter Block 1, which uses the torque feedback command generated by the Field-Weakening Block 2 to derive the torque current command îqsr-ref, where:
The torque current command, as processed further by the control system 100 as discussed above, is transmitted to the inverter 6 for operation of the motor 7 in accordance with desired calculations and adjustments.
1.4 Surface Permanent Magnetic Motor
The position-sensorless control system of the present invention is readily adaptable and relevant to a variety of synchronous electric motors. Surface permanent magnetic motors are synchronous motors that generally have the same d- and q-axis inductance.
Ls=Ld=Lq (25)
where Ls is the inductance of a surface permanent magnet motor. If Ld=Ls and Lq=Ls, the sensorless algorithm described above can be applied to such a motor without affecting operation and efficiency.
The foregoing description of the present invention has been presented for the purpose of illustration and description. It is not intended to be exhaustive as to limit the invention to the form disclosed. Obvious modifications and variations are possible in light of the above disclosure. The embodiments described were chosen to best illustrate the principles of the invention and practical applications thereof to enable one of ordinary skill in the art to utilize the invention in various embodiments and with various modifications as suited to the particular uses contemplated. It is intended that the scope of the present invention be defined by the claims appended hereto.
This application claims the benefit of U.S. Provisional Application No. 61/110,285 filed Oct. 31, 2008, which is incorporated herein by reference.
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