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| United States Patent | 5585709 |
| Link to this page | http://www.wikipatents.com/5585709.html |
| Inventor(s) | Jansen; Patrick L. (Marathon, WI);
Lorenz; Robert D. (Madison, WI) |
| Abstract | Power is provided to the stator windings of an AC machine which includes a
component at the fundamental drive frequency for the machine and a
superimposed signal component which is at a substantially higher frequency
than the drive power. The rotor has saliencies which result in a change in
impedance as seen at the stator windings to the high frequency excitation
signal as a periodic function of rotor rotational position. Such
saliencies are inherent in some permanent magnet synchronous and all
synchronous reluctance machines, and may be provided by appropriate
modification of the rotor of induction machines. The stator response at
the signal frequency is then detected to provide a correlation between the
response at the signal frequency and the rotor position. The detection of
the response at the signal frequency is preferably carried out by a
heterodyne detection process, by mixing signals at the signal frequency
with the measured stator currents, and filtering the mixed signals to
isolate the signal indicative of the rotor position. Conventional squirrel
cage induction motors can be provided with sufficient spatial variations
in the stator winding impedance as a function of rotor position in various
ways, including varying the depth and/or width of the slots over the rotor
conductive bars, by varying the cross-section of the bars, or by filling
or partially filling some of the slots. |
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Title Information  |
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Drawing from US Patent 5585709 |
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Method and apparatus for transducerless position and velocity estimation
in drives for AC machines |
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| Publication Date |
December 17, 1996 |
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| Filing Date |
December 22, 1993 |
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Title Information  |
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References  |
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| *references marked with an asterisk below are user-added references |
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U.S. References |
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| | Reference | Relevancy | Comments | Reference | Relevancy | Comments | 3611138
|      Your vote accepted [0 after 0 votes] | | 5334923 Lorenz 318/805 Aug,1994 |      Your vote accepted [0 after 0 votes] | | 5294876 Jonsson
Mar,1994 |      Your vote accepted [0 after 0 votes] | | 5272429 Lipo 318/808 Dec,1993 |      Your vote accepted [0 after 0 votes] | | 5256923 Bartos 310/166 Oct,1993 |      Your vote accepted [0 after 0 votes] | | 5196775 Harris 318/638 Mar,1993 |      Your vote accepted [0 after 0 votes] | | 5144564 Naidu 318/721 Sep,1992 |      Your vote accepted [0 after 0 votes] | | 5070264 Conrad
Dec,1991 |      Your vote accepted [0 after 0 votes] | | 5053690 Mutoh 318/811 Oct,1991 |      Your vote accepted [0 after 0 votes] | | 5029265 Staats 318/729 Jul,1991 |      Your vote accepted [0 after 0 votes] | | 4761703 Kliman 361/23 Aug,1988 |      Your vote accepted [0 after 0 votes] | | 4612486 Ban 318/254 Sep,1986 |      Your vote accepted [0 after 0 votes] | | 4520302 Hill 318/696 May,1985 |      Your vote accepted [0 after 0 votes] | | 4450396 Thornton 318/721 May,1984 |      Your vote accepted [0 after 0 votes] | | 4447787 Schwesig 318/803 May,1984 |      Your vote accepted [0 after 0 votes] | | 4149114 Gorjan 318/731 Apr,1979 |      Your vote accepted [0 after 0 votes] | | 3943504 Vosicky 340/672 Mar,1976 |      Your vote accepted [0 after 0 votes] | | 3597646 Lawrenson 210/803 Aug,1971 |      Your vote accepted [0 after 0 votes] | | |
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| Market Size |
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| Reasonable Royalty |
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Market Review  |
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Technical Review  |
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Claims  |
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What is claimed is:
1. A motor drive system comprising:
(a) an induction motor including a stator with a plurality of stator
windings thereon, and a rotor mounted for rotation within the stator, the
rotor including means for providing impedance as seen by the stator
windings which varies as a function of the rotational position of the
rotor;
(b) drive means, connected to the stator windings, for providing AC drive
power to the stator windings at a fundamental drive frequency of the motor
and for also providing power to the stator windings at a signal frequency
which is substantially higher than the drive frequency; and
(c) means for measuring the response of the stator windings to the signal
frequency power to determine the variation of the response as a function
of time during operation of the motor whereby the angular position or the
speed of the rotor or both can be determined.
2. The motor drive system of claim 1 wherein the rotor is constructed to
have a leakage inductance which varies as a function of the rotational
position of the rotor at the signal frequency to provide impedance as seen
by the stator windings which varies with rotor position.
3. The motor drive system of claim 2 wherein the leakage inductance of the
rotor varies as a periodic function of the rotational position of the
rotor and has a period of 180 electrical degrees.
4. The motor drive system of claim 1 wherein the drive means includes an
inverter having a plurality of switching devices connected in a bridge
configuration and control means for controlling the switching of the
switching devices to provide AC power to the stator windings, wherein the
control means controls the switching of the switching devices of the
inverter in a pulse width modulated manner at a high switching frequency
to provide pulse width modulated output power which includes a component
at the fundamental drive frequency and a component at the high signal
frequency.
5. The motor drive system of claim 1 wherein the means for measuring the
response of the stator to signal frequency power includes a heterodyne
demodulator mixing a signal which is a function of the high signal
frequency with the response from the stator windings to provide a signal
indicative of the rotational position of the rotor.
6. The motor drive system of claim 1 wherein the induction motor is a three
phase motor having three input lines, wherein the means for measuring
includes means for detecting the currents in the input lines to the motor,
means for transforming the detected currents to equivalent q-axis and
d-axis current signals i.sup.s.sub.qsi.sup.s and i.sub.dsi, respectively,
means for heterodyning the current signals to provide a mixed signal
.di-elect cons. which is a function in accordance with the expression:
.di-elect cons.=i.sub.qsi.sup.s cos(2 .theta..sub.r -.omega..sub.i
t)-i.sub.dsi.sup.s sin(2 .theta..sub.r -.omega..sub.i t),
where .theta..sub.r is an existing estimate of the rotor position and
.omega..sub.i is the signal frequency,
and including a low pass filter filtering the signal .di-elect cons. to
provide a filtered signal .epsilon..sub.f which is a function in
accordance with the expression
.di-elect cons..sub.f =I.sub.il sin[2(.theta..sub.r - .theta..sub.r)]
where I.sub.il is a current amplitude and .theta..sub.r is the actual rotor
position.
7. The motor drive system of claim 6 wherein the measuring means further
includes an observer controller receiving the filtered signal .di-elect
cons..sub.f, and a model of the mechanical system of the motor, the
observer controller providing a selectively weighted and conditioned
version of the signal to the mechanical system model, the mechanical
system model also receiving a torque input signal and providing output
signals which are estimates of rotor speed .omega..sub.r and position
.theta..sub.r, the position estimate .theta..sub.r being fed back to the
means for heterodyning.
8. The motor drive system of claim 1 wherein the drive means includes a
current regulated inverter and the means for measuring provides a signal
indicative of the rotational position of the rotor, and including
controller means for controlling the power applied by the inverter to the
motor to control its speed and torque, the controller means receiving
input signals indicating the desired speed and torque of the motor, and
also receiving the signal indicative of the rotational position of the
rotor from the means for measuring, and for providing output signals to
the current regulated inverter which indicate the desired output currents.
9. The motor drive system of claim 1 wherein the drive means comprises an
inverter connected to the stator windings to provide the AC drive power on
supply lines to the stator windings at the fundamental frequency and
signal generators coupled to the supply lines to provide power to the
stator windings at the signal frequency.
10. The motor drive system of claim 1 wherein the motor is a three phase
motor and the drive means provides balanced power at the drive frequency
and the signal frequency to the three phase stator windings.
11. A motor drive for providing drive power to polyphase AC motors of the
type which have stator windings and a rotor which is constructed to
provide impedance as seen by the stator windings which varies as a
periodic function of the rotational position of the rotor, comprising:
(a) an inverter bridge adapted to receive power and having a plurality of
switching devices which can be switched to provide polyphase AC power at
output supply lines of the inverter;
(b) control means for controlling the switching of the switching devices of
the inverter to provide AC power at the output terminals of the inverter
which can be provided to stator windings of an AC motor, wherein the
control means controls the switching of the switching devices of the
inverter to provide output power which includes a polyphase component at a
fundamental drive frequency for a motor and a balanced polyphase component
at a substantially higher signal frequency; and
(c) means for measuring the response of the stator windings at the output
supply lines to the signal frequency power to determine the variation of
the response as a function of time during operation of the motor whereby
the angular position or the speed of the rotor or both can be determined.
12. The motor drive of claim 11 wherein the means for measuring the
response of the stator windings to the signal frequency power includes a
heterodyne demodulator mixing a signal which is a function of the high
signal frequency with the response from the stator windings to provide a
signal indicative of the rotational position of the rotor.
13. The motor drive of claim 11 wherein the inverter is a current regulated
inverter.
14. The motor drive of claim 13 wherein the means for measuring provides a
signal indicative of the rotational position of the rotor, and including
controller means for controlling the power applied by the inverter to the
motor to control its speed and torque, the controller means receiving
input signals indicating the desired speed and torque of the motor, and
also receiving the signal indicative of the rotational position of the
rotor from the means for measuring, and for providing output signals to
the current regulated inverter which indicate the desired output currents.
15. The motor drive of claim 11 wherein the induction motor is a three
phase motor having three input lines, wherein the means for measuring
includes means for detecting the currents in the input lines to the motor,
means for transforming the detected currents to equivalent q-axis and
d-axis current signals i.sup.s.sub.qsi.sup.s and i.sub.dsi, respectively,
means for heterodyning the current signals to provide a mixed signal
.di-elect cons. which is a function in accordance with the expression:
.di-elect cons.=i.sub.qsi.sup.s cos(2 .theta..sub.r -.omega..sub.i
t)-i.sub.dsi.sup.s sin(2 .theta..sub.r -.omega..sub.i t),
where .theta..sub.r is an existing estimate of the rotor position and
.omega..sub.i is the signal frequency,
and including a low pass filter filtering the signal .di-elect cons. to
provide a filtered signal .di-elect cons..sub.f which is a function in
accordance with the expression
.di-elect cons..sub.f =I.sub.il sin[2(.theta..sub.r - .theta..sub.r)]
where I.sub.il is a current amplitude level and .theta..sub.r is the actual
rotor position.
16. The motor drive of claim 15 wherein the measuring means further
includes an observer controller receiving the filtered signal .di-elect
cons..sub.f, and a model of the mechanical system of the motor, the
observer controller providing a selectively weighted and conditioned
version of the signal .di-elect cons..sub.f to the mechanical system
model, the mechanical system model also receiving a torque input signal
and providing output signals which are estimates of rotor speed
.omega..sub.r and position .theta..sub.r, the position estimate
.theta..sub.r being fed back to the means for heterodyning.
17. A motor drive for providing drive power to polyphase AC motors such as
motors of the type which have stator windings and a rotor which is
constructed to provide impedance as seen by the stator windings which
varies as a periodic function of the rotational position of the rotor,
comprising:
(a) drive means, having output supply lines which can be connected to the
stator windings, for providing polyphase AC drive power at a fundamental
drive frequency to a motor connected to the output supply lines to receive
the AC drive power and for also providing balanced polyphase power to the
output supply lines at a signal frequency which is substantially higher
than the drive frequency;
(b) sensors connected to the output supply lines sensing the response of
the motor to the power provided by the drive means and providing output
signals indicative of the response; and
(c) a heterodyne demodulator connected to receive the signals from the
sensors and mix a signal which is a function of the high signal frequency
with the response signals from the sensors to provide a signal indicative
of the rotational position of the rotor.
18. The motor drive of claim 17 further including a transform circuit means
for receiving the signals from the sensors and providing equivalent q-axis
and d-axis current signals, and wherein the heterodyne demodulator mixes
signals at the high signal frequency with the q-axis and d-axis signals
from the transform circuit means to provide a mixed signal to provide the
signal indicative of the rotational position of the rotor.
19. The motor drive of claim 17 wherein the drive means includes a current
regulated inverter connected to provide power to a motor.
20. The motor drive of claim 19 including controller means for controlling
the power applied by the inverter to a motor to control its speed and
torque, the controller means receiving input signals indicating the
desired speed and torque of the motor, and also receiving the signal
indicative of the rotational position of the rotor, and for providing
output signals to the current regulated inverter which indicate the
desired output currents.
21. The motor drive of claim 18 wherein the drive means comprises an
inverter connected to the stator windings to provide the AC drive power on
supply lines to the stator windings at the fundamental frequency and
signal generators coupled to the supply lines to provide power to the
stator windings at the signal frequency.
22. The motor drive of claim 18 wherein the motor is a three phase motor
having three input lines, wherein the transform circuit means for
transforming the detected currents to equivalent q-axis and d-axis
currents provides signals i.sup.s.sub.qsi.sup.s and i.sub.dsi,
respectively, and the heterodyne demodulator demodulates the current
signals to provide a mixed signal .di-elect cons. which is a function in
accordance with the expression:
.di-elect cons.=i.sub.qsi.sup.s cos(2 .theta..sub.r -.omega..sub.i
t)-i.sub.dsi.sup.s sin(2 .theta..sub.r -.omega..sub.i t),
where .theta..sub.r is an existing estimate of the rotor position and
.omega..sub.i is the signal frequency,
and a low pass filter which filters the signal e to provide a filtered
signal .di-elect cons..sub.f which is a function in accordance with the
expression
.di-elect cons..sub.f =I.sub.il sin[2(.theta..sub.r - .theta..sub.r)]
where I.sub.il is an equivalent current level and .theta..sub.r is the
actual rotor position.
23. The motor drive of claim 22 wherein the measuring means further
includes an observer controller receiving the filtered signal .di-elect
cons..sub.f, and a model of the mechanical system of the motor, the
observer controller providing a selectively weighted and conditioned
version of the signal .di-elect cons..sub.f to the mechanical system
model, the mechanical system model also receiving a torque input signal
and providing output signals which are estimates of rotor speed
.omega..sub.r and position .theta..sub.r, the position estimate
.theta..sub.r being fed back to the means for heterodyning.
24. A method of determining the rotational position of an AC motor
comprising the steps of:
(a) providing a polyphase motor including a stator with a plurality of
stator windings thereon, and a rotor mounted for rotation within the
stator, the rotor constructed to provide impedance as seen by the stator
windings which varies as a periodic function of the rotational position of
the rotor;
(b) providing balanced AC drive power to the stator windings at a
fundamental drive frequency of the motor;
(c) providing balanced AC power to the stator windings at a signal
frequency which is substantially higher than the drive frequency; and
(d) measuring the response of the stator windings to the signal frequency
power to determine the variation of the response as a function of time
during operation of the motor whereby the angular position of the rotor as
a function of time or the speed of the rotor or both can be determined
from the variation of the response during operation of the motor.
25. The method of claim 24 wherein the step of measuring the response of
the stator windings includes the steps of mixing a signal which is a
function of the high signal frequency with the current from the stator
windings and low pass filtering the mixed signal to provide a signal
indicative of the rotational position of the rotor.
26. The method of claim 24 wherein the motor is a three phase motor having
three input lines, wherein the step of measuring the response includes the
steps of detecting the currents in the input lines to the motor,
transforming the detected currents to equivalent q-axis and d-axis current
signals i.sup.s.sub.qsi and i.sup.s.sub.dsi, respectively, heterodyning
the current signals to provide a mixed signal .di-elect cons. which is a
function in accordance with the expression:
.di-elect cons.=i.sub.qsi.sup.s cos(2 .theta..sub.r -.omega..sub.i
t)-i.sub.dsi.sup.s sin(2 .theta..sub.r -.omega..sub.i t),
where .theta..sub.r is an existing estimate of the rotor position and
.omega..sub.i is the signal frequency,
and low pass filtering the signal .di-elect cons. to provide a filtered
signal .di-elect cons..sub.f which is a function in accordance with the
expression
.di-elect cons..sub.f =I.sub.il sin[2(.theta..sub.r - .theta..sub.r)]
where I.sub.il is a current amplitude and .theta..sub.r is the actual rotor
position.
27. The method of claim 26 including the step of providing a selectively
weighted and conditioned version of the signal .di-elect cons..sub.f to a
mechanical system model for the motor and also providing a torque input
signal to the mechanical system model, and providing output signals from
the model which are estimates of rotor speed .omega..sub.r and position
.theta..sub.r, and feeding back the position estimate .theta..sub.r to
the step of heterodyning.
28. A motor drive system comprising:
(a) a linear motor including a primary and a secondary, the primary and
secondary movable linearly with respect to each other, the secondary
magnetically coupled to the primary to provide impedance as seen by the
primary which varies as a function of the relative position of the primary
and secondary;
(b) drive means, connected to the primary, for providing AC drive power to
the primary at a fundamental drive frequency of the motor and for also
providing power to the primary at a signal frequency which is
substantially higher than the drive frequency; and
(c) means for measuring the response of the primary to the signal frequency
power to determine the variation of the response as a function of time
during operation of the motor whereby the relative linear position of the
primary and secondary can be determined.
29. The motor drive system of claim 28 wherein the secondary is constructed
to have a leakage inductance which varies as a function of the relative
position of the secondary and primary at the signal frequency to provide
impedance as seen by the primary which varies with relative position.
30. The motor drive system of claim 28 wherein the drive means includes an
inverter having a plurality of switching devices connected in a bridge
configuration and control means for controlling the switching of the
switching devices to provide AC power to the primary, wherein the control
means controls the switching of the switching devices of the inverter in a
pulse width modulated manner at a high switching frequency to provide
pulse width modulated output power which includes a component at the
fundamental drive frequency and a component at the high signal frequency.
31. The motor drive system of claim 28 wherein the means for measuring the
response of the primary to signal frequency power includes a heterodyne
demodulator mixing a signal which is a function of the high signal
frequency with the response from the primary to provide a signal
indicative of the relative position of the primary and secondary. |
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Claims  |
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Description  |
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FIELD OF THE INVENTION
This invention pertains generally to the field of motor drive and control
systems and to the determination of rotor speed and position in AC
machines.
BACKGROUND OF THE INVENTION
A variety of drive systems for AC machines utilizing electronic switching
to control the power applied to the machines are presently available
commercially. These AC machine drives allow the speed and/or torque of the
machine to be controlled to meet various requirements. Such machine drives
typically require mechanical shaft transducers to provide feedback of
shaft position and/or velocity. Feedback is required both for torque
control (i.e., field orientation or vector control) and trajectory
tracking. However, shaft transducers and the associated wiring to provide
the signals from the shaft transducers to the electronic drive add
significantly to the cost and rate of failure of the system, and also add
to the total volume and mass of the machine at the work site. Because
induction machines are generally lower in cost and more rugged than other
machine types, to a large extent the advantages of induction machines are
the most compromised by the addition of such transducers.
Consequently, the desirability of eliminating position or velocity
transducers in motor motion control applications has long been recognized.
Several approaches have been proposed to allow estimation of the rotor
position or velocity. Some success, although limited, has been obtained
with techniques for determining the rotor position in synchronous and
reluctance machines, which are considerably less complex than induction
machines and have inherent spatially dependent rotor properties that can
be easily tracked. Estimation of rotor position and velocity in the
induction machine, which is by far the most common machine type and thus
has the most significant commercial potential, is complicated because of
its smooth symmetric rotor and symmetric induced rotor currents and slip.
Nonetheless, accurate and parameter insensitive position and velocity
measurement in induction machines can only be obtained by tracking spatial
phenomena within the machine.
SUMMARY OF THE INVENTION
In accordance with the present invention, a drive system for polyphase AC
machines provides power to the stator windings of the machine which
includes a component at the fundamental drive frequency and a superimposed
signal component which is at a higher frequency and lower power than the
drive power--preferably a frequency high enough and a power low enough
that the signal component does not substantially affect the motion of the
rotor. The rotor of the machine has saliencies which change the rotor
impedance and affect the response of the stator windings to the excitation
signal at the signal frequency as a function of rotor rotational position.
Preferably, the rotor leakage inductance in inductance machines, and the
synchronous inductances in synchronous machines, as seen by the stator
windings changes as a periodic function of rotor rotational position. The
stator response at the signal frequency may then be detected and measured
to provide a correlation between the magnitude of the response at the
signal frequency and the rotor position. The information on rotor position
as a function of time (and, thus, also information on the velocity of the
rotor) can be utilized in a controller to provide appropriate fundamental
frequency drive power to the motor to drive it at a desired speed or
torque, or to a desired position.
The present invention can be carried out utilizing machines having inherent
rotor saliency, such as some permanent magnet synchronous machines and all
synchronous reluctance machines. However, it is a particular advantage of
the present invention that it may be utilized with induction machines by
introducing saliencies in the rotor which primarily have effect only at
the relatively high frequency of the additional excitation signal. For
example, the rotor may be constructed to have a variation in the effective
leakage inductance of the rotor, and hence impedance as seen by the stator
windings, as a function of the position of the rotor with respect to the
stator at the signal frequency, but may have a substantially uniform and
symmetrical impedance characteristic at the fundamental drive and slip
frequencies with torque controlled operation. At low slip frequencies
corresponding to field oriented operation and at normal fundamental drive
frequencies, the impedance tends to be dominated by the effective rotor
resistance and not leakage inductance. Thus, even if the inductance varies
somewhat, at these low frequencies the effect on impedance and motor
operation is small. Such asymmetries or saliencies in the induction
machine rotor can be introduced in various ways, including but not limited
to variations in rotor slot width and depth around the periphery of the
rotor, variations in the cross-section or geometry of the conductive bars
around the rotor, and by opening up selected rotor slots, with other rotor
slots between them being closed. Existing squirrel cage induction motors
can be modified to carry out the present invention by, for example,
selectively cutting slots in the rotor over selected rotor bars or cutting
slots of varying width over the bars.
The detection of the response to the high frequency signal at the stator
windings is preferably carried out utilizing heterodyne detection by
mixing a polyphase signal which is a function of the injected signal
frequency with the polyphase response signal, and filtering the mixed
signal to isolate the modulation of the response to the signal frequency,
which is correlated with the angular position of the rotor.
The drive system may include an inverter which can be controlled in a space
vector, pulse width modulated manner to provide output voltage to the
stator windings at both the fundamental drive frequency and at the signal
frequency. The inverter may also be controlled to provide only the
fundamental drive frequency power to the stator, and a separate signal
generator may be connected to inject the high frequency signal into the
stator windings.
The invention may also be embodied in a linear motor. One of the windings
of the linear motor acts as a primary (as do the stator windings)
inductively coupled to a relatively movable secondary winding
(corresponding to the rotor conductors). The impedance seen by the primary
varies as a function of the relative position of the secondary.
Further objects, features and advantages of the invention will be apparent
from the following detailed description when taken in conjunction with the
accompanying drawings.
BRIEF DESCRIPTION OF THE DRAWINGS
In the drawings:
FIG. 1 is a schematic diagram of an exemplary transducerless torque
controlled AC machine drive system in accordance with the invention which
uses a direct field oriented controller based upon a rotor flux observer
and a position and velocity observer.
FIG. 2 is a schematic diagram of a transducerless AC machine drive motion
control system in accordance with the invention which uses an observer
based direct or indirect field oriented controller and a position and
velocity observer in accordance with the invention.
FIG. 3 is a schematic diagram of a torque controlled transducerless AC
machine drive system in accordance with the invention which uses an
indirect field oriented controller and a position and velocity observer in
accordance with the invention.
FIG. 4A is a schematic diagram of an inverter system which may be utilized
in the invention which has a pulse-width-modulated voltage source inverter
to provide the low frequency drive and high frequency signal components.
FIG. 4B is a simplified schematic diagram of an inverter system similar to
that of FIG. 4A but with current injection utilizing a current regulated
voltage source inverter.
FIG. 5 is a schematic diagram of a closed loop position and velocity
observer in accordance with the invention.
FIG. 6 is a schematic diagram of a closed loop position and velocity
observer in accordance with the invention which has reduced sensitivity to
unbalanced voltage sources.
FIG. 7 is a schematic diagram of a closed loop position and velocity
observer in accordance with the invention which has reduced sensitivity to
both unbalanced and weak high frequency voltage sources.
FIG. 8A is an equivalent circuit schematic diagram for a conventional
induction machine in the steady state.
FIG. 8B is the effective equivalent circuit of FIG. 8A as seen by the high
frequency excitation signal.
FIGS. 9A and 9B are simplified views through a portion of an induction
machine rotor and stator showing simplified flux paths for magnetic flux
at the fundamental drive frequency.
FIGS. 10A and 10B are simplified views through a portion of an induction
machine rotor and stator illustrating simplified flux paths for magnetic
flux at the frequency of the high frequency excitation signal over one
slot pitch.
FIG. 11 is a view of an illustrative four-pole squirrel cage induction
motor in accordance with the invention which incorporates spatially
variant rotor leakage inductance created by variation of the width of
rotor slot openings.
FIG. 12 is a simplified partial view through an induction machine of the
type shown in FIG. 11 illustrating instantaneous flux paths for high
frequency injected signal excitation over one machine pole pitch, with the
rotor position relative to excitation corresponding to the low rotor
leakage inductance position.
FIGS. 13A and 13B are illustrative views through a portion of an induction
machine rotor illustrating rotor slot opening dimensions and the
corresponding current and leakage flux components for a deep rotor slot.
FIG. 14 is an illustrative view through a portion of an induction machine
rotor illustrating the rotor current and leakage flux for a shallow depth
slot.
FIG. 15 is an illustrative view of a portion of an induction machine rotor
similar to that of FIG. 14 but with a filled slot to provide low leakage
flux.
FIGS. 16A and 16B are views through a portion of an induction machine rotor
illustrating the current and leakage flux at the fundamental and at the
injected signal frequency, respectively, for a filled deep rotor slot.
FIG. 17 is a simplified view through a four-pole squirrel cage induction
motor having spatially variant rotor leakage inductance created by opening
selected rotor slots while leaving other rotor slots closed.
FIG. 18 is a simplified view through a four-pole squirrel cage induction
motor having spatially variant rotor leakage inductance created by
variation in the rotor conductor bar depth and slot depth around the
periphery of the rotor.
FIG. 19 is a simplified view of a two-pole squirrel-cage induction motor
with spatially variant rotor leakage inductance created by variation in
the rotor bar depth and slot depth.
FIG. 20 is a simplified view through a four-pole inset mounted permanent
magnet synchronous machine having inherent rotor magnetic saliency.
FIG. 21 is a simplified view through a four-pole embedded (buried)
permanent magnet synchronous machine with inherent rotor magnetic
saliency.
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