KR101668959B1 - Apparatus and Method for controlling AC motor with a rotation matrix - Google Patents
Apparatus and Method for controlling AC motor with a rotation matrix Download PDFInfo
- Publication number
- KR101668959B1 KR101668959B1 KR1020150105901A KR20150105901A KR101668959B1 KR 101668959 B1 KR101668959 B1 KR 101668959B1 KR 1020150105901 A KR1020150105901 A KR 1020150105901A KR 20150105901 A KR20150105901 A KR 20150105901A KR 101668959 B1 KR101668959 B1 KR 101668959B1
- Authority
- KR
- South Korea
- Prior art keywords
- current
- position error
- variation
- voltage
- control
- Prior art date
Links
Images
Classifications
-
- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02P—CONTROL OR REGULATION OF ELECTRIC MOTORS, ELECTRIC GENERATORS OR DYNAMO-ELECTRIC CONVERTERS; CONTROLLING TRANSFORMERS, REACTORS OR CHOKE COILS
- H02P21/00—Arrangements or methods for the control of electric machines by vector control, e.g. by control of field orientation
- H02P21/14—Estimation or adaptation of machine parameters, e.g. flux, current or voltage
- H02P21/18—Estimation of position or speed
-
- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02P—CONTROL OR REGULATION OF ELECTRIC MOTORS, ELECTRIC GENERATORS OR DYNAMO-ELECTRIC CONVERTERS; CONTROLLING TRANSFORMERS, REACTORS OR CHOKE COILS
- H02P2203/00—Indexing scheme relating to controlling arrangements characterised by the means for detecting the position of the rotor
- H02P2203/03—Determination of the rotor position, e.g. initial rotor position, during standstill or low speed operation
Abstract
Description
Embodiments of the present invention relate to an apparatus and method for controlling an alternating current motor, and more particularly, to a method and apparatus for measuring the position / speed of a rotor without a position sensor / speed sensor, The present invention relates to an apparatus and method for controlling an alternating-current motor using a rotation matrix having characteristics that are robust even under changes in load fluctuation or acceleration in which acceleration is large.
In recent years, AC motors have been actively used in various fields throughout the industry as they are capable of reliable and high performance control along with development of electronic technologies.
AC motors need to know the position of the magnetic flux to control the position and speed of the rotor. In order to control the position and speed of the rotor, the position of the rotor has conventionally been detected using a speed sensor or a position sensor, and the position of the rotor flux has been calculated from the detected position of the rotor. In this method, the position sensor and the speed sensor must necessarily be added to the electric motor, thereby increasing the cost of the parts and the overall cost of the system, and various facilities for utilizing the sensed output signal are additionally required and complicated , And when the sensed value is accompanied by noise, there is a problem that the motor control is difficult.
In recent years, in order to overcome the above-described problem, development of a so-called sensorless motor in which a position sensor and a speed sensor are omitted is being developed.
In general, the method can be divided into a method of controlling by using the counter electromotive force generated when the motor is driven and a method of analyzing and controlling the output current characteristic by injecting a high frequency separate from the control voltage into the motor.
However, the sensorless control method using the counter electromotive force has a problem that the control reliability is low in the low speed region including the peripheral speed, which is a region where the voltage disturbance is relatively high, and can not be controlled in the entire speed region.
Further, when a high frequency separate from the control voltage is injected into the motor, the use range of the control voltage is limited and the transient response performance is deteriorated.
Also, among the sensorless methods using high frequency injection, the heterodyne method has a problem of limiting the bandwidth of the controller by using a low-pass filter.
The method of injecting a square wave on a synchronous rotation coordinate system of the sensorless method by high frequency injection does not need to use low pass. However, when obtaining the position error (x) by measuring the current change corresponding to the injected voltage, 2x) is assumed to be 2x, x can not represent a portion exceeding 45 degrees, and there is a problem that an error increases as the value of 2x becomes larger. In addition, there is a disadvantage that different types of position estimation algorithms are required depending on whether the injected signal is a voltage or a current, a square wave or a sinusoidal wave, and whether a pulsating high frequency pulse or a rotating high frequency pulse is injected.
In addition, the sensorless method using the inductance matrix on the stator coordinate system among the sensorless methods by the high-frequency implantation uses a pseudo-inverse matrix, which is always invertible.
In order to solve the problems of the prior art as described above, in the present invention, the position / speed of the rotor is measured without the position sensor / speed sensor, and the measurement range of the position error of the rotor can be extended. A control apparatus and method for controlling an AC motor using a rotation matrix having a robust characteristic even at a large speed change.
In order to achieve the above object, according to a preferred embodiment of the present invention, there is provided an AC motor control apparatus for controlling an AC motor, comprising: a control unit for outputting a control value for controlling a control current to flow to the AC motor; A current variation calculator for calculating a current variation using the control value; A voltage variation calculator for calculating a voltage variation using a voltage command value for generating the control value; A position error calculator for calculating the position error using the current variation, the voltage variation, and the rotation matrix; And an estimator for estimating a position estimate of the rotor and a velocity estimation value of the rotor using the position error.
According to another aspect of the present invention, there is provided an AC motor control method for controlling an AC motor, comprising: outputting a control value for controlling a control current to flow to the AC motor; Calculating a current change using the control value; Calculating a voltage variation using a voltage command value for generating the control value; Calculating the position error using the current variation, the voltage variation, and the rotation matrix; And estimating a position estimate of the rotor and a velocity estimation value of the rotor using the position error.
The apparatus and method for controlling an AC motor according to the present invention can measure the position / speed of a rotor without using a position sensor / speed sensor, and can extend the measurement range of the position error of the rotor. .
1 is a diagram showing a schematic configuration of a control apparatus for a sensorless AC motor in terms of a synchronous coordinate system, according to an embodiment of the present invention.
2 and 4 are views for explaining a specific operation of a control apparatus for a sensorless AC motor in terms of a synchronous coordinate system according to an embodiment of the present invention.
5 is a diagram showing a schematic configuration of a control apparatus for a sensorless AC motor in terms of a stationary coordinate system, according to an embodiment of the present invention.
6 and 7 are views for explaining a specific operation of a control apparatus for a sensorless AC motor in terms of a still coordinate system according to an embodiment of the present invention.
8 is a diagram showing simulation results of a control apparatus for an alternating-current motor according to an embodiment of the present invention.
9 is a flowchart illustrating a method of controlling an AC motor according to an embodiment of the present invention.
While the invention is susceptible to various modifications and alternative forms, specific embodiments thereof are shown by way of example in the drawings and will herein be described in detail. It should be understood, however, that the invention is not intended to be limited to the particular embodiments, but includes all modifications, equivalents, and alternatives falling within the spirit and scope of the invention. Like reference numerals are used for like elements in describing each drawing.
The terms "first "," second ", and the like can be used to describe various components, but the components should not be limited by the terms. The terms are used only for the purpose of distinguishing one component from another. For example, without departing from the scope of the present invention, the first component may be referred to as a second component, and similarly, the second component may also be referred to as a first component. The term "and / or" includes any combination of a plurality of related listed items or any of a plurality of related listed items.
It is to be understood that when an element is referred to as being "connected" or "connected" to another element, it may be directly connected or connected to the other element, . On the other hand, when an element is referred to as being "directly connected" or "directly connected" to another element, it should be understood that there are no other elements in between.
Hereinafter, embodiments according to the present invention will be described in detail with reference to the accompanying drawings.
1 is a diagram showing a schematic configuration of a control apparatus for a sensorless AC motor in terms of a synchronous coordinate system, according to an embodiment of the present invention.
Referring to FIG. 1, an
The control unit 110 controls the AC
The
The
The first axis converter 114 converts the voltage command value of the dq axis (
) To the voltage command value of the abc axis ( ). TheThen, the
The configuration of the control unit 110 is obvious to those skilled in the art, and thus a detailed description thereof will be omitted.
Next, the position / speed estimation unit 120 estimates the position and speed of the rotor in the AC
The current-variation-
Then, the
Also, the
Hereinafter, the configuration of the position / speed estimation unit 120 according to the present invention will be described in more detail with reference to FIG. 2 to FIG.
1. Position / velocity estimation on synchronous coordinate system
1.1. Approach to voltage fluctuations for current fluctuations (using reactance matrix)
The output voltage variation of the controller 110 of each control period to sampling period is expressed by
Similarly, the variation of the output current of each control period is expressed by
From the voltage equation of the
here,
The resistance of the stator, Lt; / RTI > Is the inductance of the d-axis of the stator, Represents the inductance of the q-axis of the stator, respectively.In the case where the control period is very short, if the voltage drop component due to the resistance, which is the first part of the right side term of Equation (3), and the counter electromotive force component proportional to the rotational speed of the AC motor are neglected, Equation 3 can be simplified as shown in Equation Can
Expression (4) can be expressed by the relationship between the voltage variation and the current variation as shown in FIG.
On the other hand, the actual synchronous rotational coordinate system and the estimated synchronous rotational coordinate system
The equation (4) on the actual synchronous coordinate system can be expressed by the equation (5) on the estimated coordinate system.
here,
Denotes a rotation matrix. In this case, Equation (5) can be summarized as Equation (6) below.
here,
, Respectively.On the other hand,
To In the case of approximating the equation and developing the equation, Exceeds 45 degrees, the polarity with respect to the increase in the position error is changed, failing to estimate the rotor position, Is not a small value, an error occurs in the calculation of the actual position error.Therefore, the
However, equation (7)
, The rotation matrix is multiplied on both sides in Equation (7), and both sides are calculated as Equation (8) below To be included in the form.
Therefore, the position error expressed by the equation (9) can be calculated from the relationship of the first row of the equation (8) to the relationship of the second row of the equation (8).
This is shown in FIG. 3 as a diagram. By substituting the calculated controller output voltage and the sampled current three times into the equation (9), the
1.2. Approach to current variation with voltage variation (using susceptance matrix)
Equation (6) represents the voltage variation by the product of the reactance matrix and the current variation, and Equation (10) represents the current variation by the product of the susceptance matrix and the voltage variation.
At this time, the
However, equation (11)
, The rotation matrix is multiplied on both sides of Equation (11), and both sides are multiplied by the following Equation (12) To be included in the form.
Therefore, the position error expressed by the equation (13) can be calculated by the relationship of the first row of the equation (12) and the relationship of the second row of the equation (12).
This is shown in FIG. 4 as a diagram. By substituting the calculated controller output voltage and the sampled current three times into Equation 13, the
5 is a diagram showing a schematic configuration of a control apparatus for a sensorless AC motor in terms of a stationary coordinate system, according to another embodiment of the present invention.
Referring to FIG. 5, the
The
Since the configuration of the control unit 510 is obvious to those skilled in the art, a detailed description thereof will be omitted. 6 and 7, the configuration of the position / speed estimation unit 520 according to the present invention will be described in more detail.
2. Position / velocity estimation on periodic coordinate system
2.1. Approach to voltage fluctuations for current fluctuations (using reactance matrix)
The phase voltage equation of the permanent-magnetic-flux alternating-current motor on the stator coordinate system is shown in Equation (14) below.
The stator flux of Equation (14) can be expressed by dividing it by the current portion and the permanent magnet component, which is expressed by Equation (15).
here,
Is an inductance matrix and is expressed by Equation (16) below.
here,
Lt; / RTI > , , Is the inductance of the d-axis of the stator, Represents the inductance of the q-axis of the stator, respectively.Meanwhile, in order to obtain the inductance matrix, a matrix composed of the difference between the voltage and the current is calculated. The inductance matrix can be calculated using the inverse matrix or the pseudo-inverse matrix of the matrix relating to the calculated current difference. However, there is a problem that the matrix relating to the current difference does not always have an inverse matrix or a pseudo inverse matrix. Therefore, in the present invention, an inductance matrix is not calculated to obtain rotor position information, and accurate rotor position information is calculated using a rotation matrix about a rotor position without using an inverse function of a matrix relating to a current difference.
Equation (17) summarizes the voltage equation on the fixed coordinate system when Equation (16) is substituted into Equation (15).
Here, if the sampling period is very short, the current differential term can be logarithmically expressed by Equation 25 below.
If the sampling period is very short, ignoring the voltage drop component due to the resistance, which is the first part in the right side of the equation (18), and the counter electromotive force component proportional to the motor rotational speed, the equation (18) can do.
In this case, the term related to the position error in the right side of Equation (19) is divided into terms related to the error, which is expressed by Equation (20).
In addition, the term unrelated to the error is shifted to the left side, and the coefficient of the term related to the error is divided into two sides, and is summarized as the following expression (21). This
Wow .
However, equation (21)
, The rotation matrix is multiplied on both sides in Equation (21), and both sides are multiplied by the following Equation (22) To be included in the form.
Therefore, the positional error expressed by the equation (23) can be calculated by the relationship of the first row of the equation (22) and the relationship of the second row of the equation (22).
This can be expressed as shown in Figure 6. The
2.2. Approach to current variation with voltage variation (using susceptance matrix)
Equation (19) represents the voltage variation by the product of the reactance matrix and the current variation, and Equation (24) represents the current variation by the product of the susceptance matrix and the voltage variation.
In addition, the
However, equation (25)
Therefore, the rotation matrix is multiplied on both sides of the equation (25), and both sides are calculated as shown in the following equation (26) To be included in the form.
Therefore, the position error expressed by the equation (27) can be calculated by the relationship of the first row of the equation (26) and the relationship of the second row of the equation (26).
This is shown in FIG. 7 as a diagram. The position
8 is a diagram showing simulation results of a control apparatus for an alternating-current motor according to an embodiment of the present invention.
More specifically, FIG. 8 shows a positional error by inducing a positional error arbitrarily in a state where the AC electric motor is fixed. When the actual motor rotor is positioned at 0 degree and the estimated position information is arbitrarily given in the range of -90 to 90 degrees, the position error (FIG. 8 (a)) calculated by the conventional method and the position error (Fig. 8 (b)).
Referring to FIG. 8 (a), in the case of the conventional system, the position error calculated according to the actual position error increase up to about 45 degrees increases, but it decreases rather than the above. In addition, from the vicinity of 30 degrees, it can be seen that the calculated error is not exactly proportional to the actual error.
Referring to FIG. 8 (b), it can be seen that in the case of the present invention, the position error can be accurately calculated up to nearly 90 degrees. In addition, it can be seen that the actual position error and the calculated position error are proportional to each other in almost all the sections.
In summary, the effects of the present invention are as follows.
First, the position error can be obtained by a method such as a square wave, sinusoidal wave, or triangular firing mode. If the injected signal is not at the carrier frequency, but at a frequency significantly greater than the motor speed, the position error can be obtained in the same way.
Also, it is possible to calculate the position error on the synchronous coordinate system and the position error on the stationary coordinate system, both in the pulsed signal injection method in which the high frequency is injected only in the d axis or the q axis on the synchronous coordinate system, or in the rotary signal injection method in which both the d axis and the q axis are injected.
When the position error is measured by the position error calculation method on the synchronous coordinate system, the measurement range can be increased from less than 45 degrees to 90 degrees, and it is possible to measure linearly, so that even when the load fluctuation or acceleration is large, .
In addition, precise sensorless control is possible by achieving precise position error without a home, and high bandwidth can be ensured.
9 is a flowchart illustrating a method of controlling an AC motor according to an embodiment of the present invention. Hereinafter, a process performed in each step will be described.
First, in
Next, in
Thereafter, in
The embodiments of the control method of the
In addition, embodiments of the present invention may be implemented in the form of program instructions that can be executed through various computer means and recorded on a computer readable medium. The computer-readable medium may include program instructions, data files, data structures, and the like, alone or in combination. The program instructions recorded on the medium may be those specially designed and constructed for the present invention or may be available to those skilled in the art of computer software. Examples of computer-readable media include magnetic media such as hard disks, floppy disks and magnetic tape; optical media such as CD-ROMs and DVDs; magnetic media such as floppy disks; Examples of program instructions, such as magneto-optical and ROM, RAM, flash memory and the like, can be executed by a computer using an interpreter or the like, as well as machine code, Includes a high-level language code. The hardware devices described above may be configured to operate as one or more software modules to perform operations of one embodiment of the present invention, and vice versa.
As described above, the present invention has been described with reference to particular embodiments, such as specific elements, and limited embodiments and drawings. However, it should be understood that the present invention is not limited to the above- Various modifications and variations may be made thereto by those skilled in the art to which the present invention pertains. Accordingly, the spirit of the present invention should not be construed as being limited to the embodiments described, and all of the equivalents or equivalents of the claims, as well as the following claims, belong to the scope of the present invention .
Claims (10)
A control unit for outputting a control value for controlling the control current to flow to the AC electric motor based on a voltage command value varying with time;
A current variation calculator for calculating a current variation which is a difference between a current control value and a control value immediately before the current control value;
A voltage variation calculator for calculating a voltage variation which is a difference value between a current voltage command value and a voltage command value immediately before the current voltage command value among the voltage command values;
A position error calculator for calculating a position error using the current variation, the voltage variation, and the rotation matrix; And
And an estimator for estimating a position estimate of the rotor and a velocity estimation value of the rotor using the position error,
Wherein the rotation matrix is expressed by the following equation.
here, The rotation matrix, Respectively represent the position error.
Wherein the position error calculator calculates the position error using the following equation.
here, The current variation, The voltage variation, Lt; / RTI > , , Is the inductance of the d-axis of the stator, Represents the inductance of the q-axis of the stator, respectively.
Wherein the position error is expressed by the following equation: < EMI ID = 3.0 >
Wherein the position error calculator calculates the position error using the following equation.
here, The current variation, The voltage variation, Lt; / RTI > , , Is the inductance of the d-axis of the stator, Represents the inductance of the q-axis of the stator, respectively.
Wherein the position error is expressed by the following equation: < EMI ID = 3.0 >
Wherein the position error calculator calculates the position error using the following equation.
here, The current variation, The voltage variation, Lt; / RTI > , , Is the inductance of the d-axis of the stator, Represents the inductance of the q-axis of the stator, respectively.
Wherein the position error is expressed by the following equation: < EMI ID = 3.0 >
Wherein the position error calculator calculates the position error using the following equation.
here, The current variation, The voltage variation, Lt; / RTI > , , Is the inductance of the d-axis of the stator, Represents the inductance of the q-axis of the stator, respectively.
Wherein the position error is expressed by the following equation: < EMI ID = 3.0 >
Outputting a control value for controlling the control current to flow to the AC electric motor based on a voltage command value varying with time;
Calculating a current change amount that is a difference value between a current control value and a control value immediately before the current control value among the control values;
Calculating a voltage change amount that is a difference value between a current voltage command value and a voltage command value immediately before the current voltage command value among the voltage command values;
Calculating a position error using the current variation, the voltage variation, and a rotation matrix; And
And estimating a position estimate of the rotor and a velocity estimation value of the rotor using the position error,
Wherein the rotation matrix is expressed by the following equation.
here, The rotation matrix, Respectively represent the position error.
Priority Applications (1)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
KR1020150105901A KR101668959B1 (en) | 2015-07-27 | 2015-07-27 | Apparatus and Method for controlling AC motor with a rotation matrix |
Applications Claiming Priority (1)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
KR1020150105901A KR101668959B1 (en) | 2015-07-27 | 2015-07-27 | Apparatus and Method for controlling AC motor with a rotation matrix |
Publications (1)
Publication Number | Publication Date |
---|---|
KR101668959B1 true KR101668959B1 (en) | 2016-10-24 |
Family
ID=57256594
Family Applications (1)
Application Number | Title | Priority Date | Filing Date |
---|---|---|---|
KR1020150105901A KR101668959B1 (en) | 2015-07-27 | 2015-07-27 | Apparatus and Method for controlling AC motor with a rotation matrix |
Country Status (1)
Country | Link |
---|---|
KR (1) | KR101668959B1 (en) |
Citations (3)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
JP2009060688A (en) * | 2007-08-30 | 2009-03-19 | Fuji Electric Systems Co Ltd | Controller for synchronous motors |
JP2009095135A (en) * | 2007-10-09 | 2009-04-30 | Fuji Electric Systems Co Ltd | Controller of synchronous electric motor |
KR101426485B1 (en) * | 2013-06-28 | 2014-08-06 | 한양대학교 산학협력단 | Device for controlling AC motor |
-
2015
- 2015-07-27 KR KR1020150105901A patent/KR101668959B1/en active IP Right Grant
Patent Citations (3)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
JP2009060688A (en) * | 2007-08-30 | 2009-03-19 | Fuji Electric Systems Co Ltd | Controller for synchronous motors |
JP2009095135A (en) * | 2007-10-09 | 2009-04-30 | Fuji Electric Systems Co Ltd | Controller of synchronous electric motor |
KR101426485B1 (en) * | 2013-06-28 | 2014-08-06 | 한양대학교 산학협력단 | Device for controlling AC motor |
Non-Patent Citations (1)
Title |
---|
전력전자학회 2015년도 하계학술대회 논문집, 2015.07, 335-336 (2 PAGES) * |
Similar Documents
Publication | Publication Date | Title |
---|---|---|
Bolognani et al. | Model sensitivity of fundamental-frequency-based position estimators for sensorless PM and reluctance synchronous motor drives | |
JP6220941B2 (en) | Induction motor parameter estimation method | |
KR101087581B1 (en) | Sensorless control method of permanent magnet synchronous motor | |
EP2930843A2 (en) | Phase current measurement diagnostic | |
JP2008220096A (en) | Sensorless controller of synchronous electric motor | |
JP2003180094A (en) | Method for estimating pole position of pm motor | |
Jannati et al. | Speed sensorless fault-tolerant drive system of 3-phase induction motor using switching extended kalman filter | |
JP2009171680A (en) | Controller for permanent-magnet synchronous motors | |
JP5942094B2 (en) | Motor constant calculation method and motor constant calculation device for PM motor | |
US7774148B2 (en) | Torque estimator for IPM motors | |
Leppanen et al. | Observer using low-frequency injection for sensorless induction motor control-parameter sensitivity analysis | |
JP7042972B2 (en) | Rotating machine control device | |
KR101742554B1 (en) | Position detection signal linearity apparatus of sensor with low resolution and its method, motor control apparatus for washing machine using it and its method | |
KR102439814B1 (en) | Motor Speed Estimation Apparatus and Motor Speed Estimation Method | |
JP5334524B2 (en) | Permanent magnet synchronous motor control device and control method thereof | |
CN109699197B (en) | Method for estimating the position and speed of the rotor of an alternating current machine of a motor vehicle and corresponding system | |
KR101668959B1 (en) | Apparatus and Method for controlling AC motor with a rotation matrix | |
KR101426485B1 (en) | Device for controlling AC motor | |
KR100881360B1 (en) | A sensorless vector control apparatus and a sensorless vector control method for a induction motor | |
JP6108114B2 (en) | Control device for permanent magnet type synchronous motor | |
JP5106295B2 (en) | Rotor position estimation device for synchronous motor | |
Moujahed et al. | Sensor-less direct torque control of permanent magnet synchronous motor drive using Extended Kalman filter | |
JP5983636B2 (en) | Electric motor control device | |
JP2014204489A (en) | Rotary machine control device | |
Purti et al. | Performance assessment of rotor flux and reactive power based MRAS for speed sensorless induction motor drive in a common test rig |
Legal Events
Date | Code | Title | Description |
---|---|---|---|
E701 | Decision to grant or registration of patent right | ||
GRNT | Written decision to grant | ||
FPAY | Annual fee payment |
Payment date: 20190905 Year of fee payment: 4 |