CN111800058B - Electric energy quality optimization method of motor system - Google Patents

Electric energy quality optimization method of motor system Download PDF

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CN111800058B
CN111800058B CN202010914394.7A CN202010914394A CN111800058B CN 111800058 B CN111800058 B CN 111800058B CN 202010914394 A CN202010914394 A CN 202010914394A CN 111800058 B CN111800058 B CN 111800058B
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CN111800058A (en
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邱麟
李尧
黄晓艳
吴立建
方攸同
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Zhejiang University ZJU
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    • 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
    • H02P21/22—Current control, e.g. using a current control loop
    • H—ELECTRICITY
    • H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J3/00—Circuit arrangements for ac mains or ac distribution networks
    • H02J3/12—Circuit arrangements for ac mains or ac distribution networks for adjusting voltage in ac networks by changing a characteristic of the network load
    • H02J3/16—Circuit arrangements for ac mains or ac distribution networks for adjusting voltage in ac networks by changing a characteristic of the network load by adjustment of reactive power
    • 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
    • H02P21/0003—Control strategies in general, e.g. linear type, e.g. P, PI, PID, using robust control
    • Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y02—TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02E—REDUCTION OF GREENHOUSE GAS [GHG] EMISSIONS, RELATED TO ENERGY GENERATION, TRANSMISSION OR DISTRIBUTION
    • Y02E40/00—Technologies for an efficient electrical power generation, transmission or distribution
    • Y02E40/30—Reactive power compensation

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  • Power Engineering (AREA)
  • Control Of Ac Motors In General (AREA)
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Abstract

The invention discloses an electric energy quality optimization method of a motor system, wherein the motor system is a five-phase direct matrix converter-permanent magnet synchronous motor integrated system, and the optimization method realizes the maximization of input reactive power of a five-phase direct matrix converter under the constraint according to a generalized expression of a modulation matrix of the five-phase direct matrix converter and the constraint conditions thereof. Therefore, the algorithm fills the blank of the algorithm for expanding the input reactive power range of the five-phase matrix converter, and improves the input reactive power control range of the five-phase matrix converter-permanent magnet synchronous motor system.

Description

Electric energy quality optimization method of motor system
Technical Field
The invention relates to the field of modulation algorithms of matrix converters, in particular to a modulation algorithm for expanding an input reactive power range of a five-phase direct matrix converter-permanent magnet synchronous motor system.
Background
In recent years, attention to a matrix converter-permanent magnet synchronous motor (MC-PMSM) system has been increasingly focused. Compared with the traditional AC-DC-AC converter, the system can improve the voltage and current quality of the input side, and has energy feedback capacity and higher power density. In addition, a very important advantage of the system is the ability to control the input power factor over a range. By adjusting the input reactive power, the system can not only realize the operation of the unit power factor of the system, but also even provide the reactive power for the power grid to support the voltage of the power grid, thereby improving the power quality of the power grid. Compared with the traditional three-phase motor, the five-phase motor has higher power density, lower torque fluctuation and better fault tolerance, so that the application of the five-phase MC-PMSM system in the occasions can be better played by expanding the reactive power control range of the system.
As shown in fig. 1, the five-phase MC-PMSM system includes an input filter 10, a five-phase direct matrix converter 20, and a five-phase permanent magnet synchronous motor 30. The input filter 10 is disposed on an input side of the five-phase direct matrix converter 20, and supplies a stable input voltage to the five-phase direct matrix converter 20. The five-phase permanent magnet synchronous motor 30 is arranged on the output side of the five-phase direct matrix converter 20, and provides an output reference voltage vector required to be synthesized for the five-phase direct matrix converter 20 by adopting vector control, and the five-phase direct matrix converter 20 is composed of 5 × 3 bidirectional switches, and can synthesize input voltages with any frequency into output voltages with any amplitude and frequency within a certain range by switching on and off of switching tubes.
At present, the research on the reactive power control of the five-phase matrix converter is less, the modulation strategy of the multiphase matrix converter is generally the traditional space vector modulation or scalar modulation method, both of which are limited by the constraint of respective algorithms, the constraint is not the inherent constraint of the five-phase matrix converter, and therefore, the maximum reactive power corresponding to the modulation methods is still different from the theoretical maximum value. There are two main techniques in a three-phase matrix converter to increase the input reactive power range.
In the doctor's paper filed titled as reactive characteristic and control research of matrix converters (university of south and middle, 2014), li lucky et al constructs a reactive modulation matrix containing load current phase information based on a mathematical construction idea, so as to achieve the purpose of weakening the dependence of input reactive power on a load power factor, but does not obtain the maximum input reactive range; in the document entitled a Generalized Technique of Modeling, Analysis, and Control of a Matrix Converter Using SVD (IEEE trans. ind. electron., vol.58, No.3, pp.949-959, ma.2011), hossei and Hojabri et al, a Matrix singular value decomposition method is used to solve the input-output coordinate system with the maximum reactive power and the transformation coefficients between the coordinate systems, in combination with the physical meaning of the Matrix Converter modulation Matrix, and although the maximum input reactive range is obtained, the study is limited to three-phase output as before.
Although much research has been done by the predecessors to extend the input reactive power range of MC-PMSM systems, they are all based on three-phase input three-phase output, and little research has been done on MC-PMSM systems with three-phase input five-phase output.
Disclosure of Invention
In view of this, the present invention provides a power quality optimization method for a five-phase direct matrix converter-permanent magnet synchronous motor integrated system, which can fill the blank of a maximum input reactive power modulation algorithm for the five-phase direct matrix converter-permanent magnet synchronous motor, and improve the input reactive power control range of the five-phase MC-PMSM system.
The invention provides a power quality optimization method of a motor system, wherein the motor system is a five-phase direct matrix converter-permanent magnet synchronous motor integrated system and comprises an input filter, a five-phase direct matrix converter and a five-phase permanent magnet synchronous motor, the input filter is arranged on the input side of the five-phase direct matrix converter and provides input voltage and input current for the five-phase direct matrix converter, the five-phase permanent magnet synchronous motor is arranged on the output side of the five-phase direct matrix converter and provides reference output voltage and reference output current for the five-phase direct matrix converter, and the method comprises the steps of
S1, calculating a modulation matrix expression containing free variables under a two-phase static coordinate system through coordinate transformation according to the requirements of voltage vectors at the input side and the output side of the five-phase direct matrix converter, calculating a modulation matrix expression under a three-phase-five-phase static coordinate system through coordinate inverse transformation, and superposing common-mode components to obtain a modulation matrix generalized expression of the five-phase direct matrix converter;
s2, deducing the value range of the free variable in the generalized expression of the five-phase direct matrix converter according to the matrix converter safe operation principle that the input side is not short-circuited, the output side is not open-circuited, and the duty ratio of each switch is larger than zero and smaller than one;
s3, calculating the value of the free variable with the maximum input reactive power of the five-phase direct matrix converter by deducing the functional relationship between the free variable and the input reactive power and combining the value range of the free variable;
and S4, substituting the free variable value with the maximum input reactive power of the five-phase direct matrix converter into the generalized modulation matrix expression to obtain duty ratios corresponding to the switches in the five-phase direct matrix converter, and distributing the conduction time of the switches in the five-phase direct matrix converter according to the duty ratios to obtain the maximum reactive power of the five-phase direct matrix converter-permanent magnet synchronous motor integrated system.
Preferably, the vector control of the five-phase permanent magnet synchronous motor adopts a double closed loop PI control method of a rotating speed outer loop and a current inner loop to respectively control d-axis and q-axis currents, and provides a reference output voltage vector required under a given rotating speed for the five-phase direct matrix converter by combining coordinate transformation.
Preferably, in step S1, the input-side and output-side voltage vectors are obtained by:
s11, obtaining a q-axis current reference value according to the rotating speed outer ring of the five-phase permanent magnet synchronous motor, and controlling d-axis current by adopting id equal to 0;
s12, carrying out current sampling and coordinate transformation on the five-phase current of the five-phase permanent magnet synchronous motor to obtain d-axis and q-axis current actual values;
s13, carrying out PI regulation on the d-axis current difference and the q-axis current difference by the current inner loop current regulator, and obtaining a voltage vector of an output side through coordinate transformation;
and S15, performing voltage sampling on the input side of the five-phase direct matrix converter to obtain an input side voltage vector.
The optimization method is a modulation algorithm for improving the input reactive power range by utilizing the one degree of freedom of the modulation matrix of the matrix converter, can provide or absorb more reactive power for a power grid, further improves the quality of electric energy, and can also correct phase deviation brought by an input filter to realize the unit power factor operation of a system.
Drawings
FIG. 1 is a diagram of a MC-PMSM topology.
Fig. 2 is a flow chart of a power quality optimization method of the present invention.
FIG. 3 is md、mqAnd (4) constraint condition schematic diagrams.
FIG. 4 is nI、nIIThe geometrical meaning of the constraint on a two-dimensional plane.
Fig. 5 is a simulation diagram of numerical simulation of the reactive power extension method of the present invention using MATLAB.
In FIGS. 6(a) -6(c), m is0＝0.7，
Figure GDA0002773973950000041
And under the load condition, using Simulink to simulate the control algorithm to obtain the input reactive power range of the five-phase MC-PMSM system.
Detailed Description
In order to more specifically describe the present invention, the following detailed description is provided for the technical solution of the present invention with reference to the accompanying drawings and the specific embodiments.
Referring to fig. 2, fig. 2 is a method for optimizing the power quality of the five-phase direct matrix converter-permanent magnet synchronous motor integrated system according to the present invention, as shown in the figure, the method includes the following steps:
s1, calculating a modulation matrix expression containing free variables under a two-phase static coordinate system through coordinate transformation according to the requirements of voltage vectors at the input side and the output side of the five-phase direct matrix converter, calculating a modulation matrix expression under a three-phase-five-phase static coordinate system through coordinate inverse transformation, and superposing common-mode components to obtain a modulation matrix generalized expression of the five-phase direct matrix converter;
s2, deducing the value range of the free variable in the generalized expression of the five-phase direct matrix converter according to the matrix converter safe operation principle that the input side is not short-circuited, the output side is not open-circuited, and the duty ratio of each switch is larger than zero and smaller than one;
s3, calculating the value of the free variable with the maximum input reactive power of the five-phase direct matrix converter by deducing the functional relationship between the free variable and the input reactive power and combining the value range of the free variable;
and S4, substituting the free variable value with the maximum input reactive power of the five-phase direct matrix converter into the generalized modulation matrix expression to obtain duty ratios corresponding to the switches in the five-phase direct matrix converter, and distributing the conduction time of the switches in the five-phase direct matrix converter according to the duty ratios to obtain the maximum reactive power of the five-phase direct matrix converter-permanent magnet synchronous motor integrated system.
Preferably, the vector control of the five-phase permanent magnet synchronous motor adopts a double closed loop PI control method of a rotating speed outer loop and a current inner loop to respectively control d-axis and q-axis currents, and provides a reference output voltage vector required under a given rotating speed for the five-phase direct matrix converter by combining coordinate transformation.
Preferably, in step S1, the input-side and output-side voltage vectors are obtained by:
s11, obtaining a q-axis current reference value according to the rotating speed outer ring of the five-phase permanent magnet synchronous motor, and controlling d-axis current by adopting id equal to 0;
s12, carrying out current sampling and coordinate transformation on the five-phase current of the five-phase permanent magnet synchronous motor to obtain d-axis and q-axis current actual values;
s13, carrying out PI regulation on the d-axis current difference and the q-axis current difference by the current inner loop current regulator, and obtaining a voltage vector of an output side through coordinate transformation;
and S15, performing voltage sampling on the input side of the five-phase direct matrix converter to obtain an input side voltage vector.
The following is a derivation of the specific procedure of the above method:
assume a three-phase sinusoidal input voltage u provided by input filter 10iCurrent iiOutput reference voltage u of five-phase permanent magnet synchronous motoroCurrent ioThe expression of (1) is;
Figure GDA0002773973950000051
Figure GDA0002773973950000052
Figure GDA0002773973950000053
Figure GDA0002773973950000054
wherein: u shapeimRepresenting the magnitude of the input phase voltage, IimRepresenting input phase current magnitude, θiu＝ωit，ωiRepresenting the angular frequency, theta, of the input voltageii＝θiu-, denotes the input power factor angle, UomThe representation represents the amplitude of the output phase voltage, IomRepresenting the magnitude of the output phase current, θou＝ωot+φo，ωoRepresenting the angular frequency of the output voltage, phioIs the initial phase angle of the output voltage relative to the input voltage,
Figure GDA0002773973950000061
Figure GDA0002773973950000062
representing the output power factor angle.
According to the working principle of the matrix converter, the relation between input and output variables can be represented by a low-frequency modulation matrix;
Figure GDA0002773973950000063
Figure GDA0002773973950000064
wherein: m isijIndicating switch sijThe corresponding on duty cycle, i ═ 1,2,3,4, 5; j is a number of bits of 1,2,3,
Figure GDA0002773973950000065
representing the common-mode component, M ', of the modulation matrix'abcdeIs a matrix converterThe core of frequency conversion and amplitude variation.
In order to solve a modulation matrix generalized expression, converting the input and output physical quantities into an alpha-beta static two-phase coordinate system for solving through coordinate transformation;
Figure GDA0002773973950000066
Figure GDA0002773973950000067
Figure GDA0002773973950000068
Figure GDA0002773973950000071
Figure GDA0002773973950000072
Figure GDA0002773973950000073
obtaining a generalized modulation matrix expression M under an alpha-beta two-phase static coordinate system after transformationαβ0Or split into a common mode component matrix G0And a core matrix G of amplitude frequency transformation, wherein an expression of G can be solved through a voltage, current and power balance equation, and a generalized modulation matrix expression under a three-phase-five-phase static coordinate system is solved through coordinate inverse transformation;
Figure GDA0002773973950000074
Figure GDA0002773973950000075
Figure GDA0002773973950000076
Figure GDA0002773973950000081
Figure GDA0002773973950000082
Figure GDA0002773973950000083
wherein:
Figure GDA0002773973950000084
mIIas a free variable, provided that a given voltage, current transformation is achieved, thetaiu、θii、θou、θoiRespectively the initial phase angles of the resultant vectors of the input voltage, the input current, the output voltage and the output current,
Figure GDA0002773973950000085
the angle is a load power factor angle, and is an input power factor angle, and alpha is 2 pi/5;
m 'mentioned above'abcdeThe modulation matrix is a modulation matrix without common-mode components superposed, so that the common-mode components are superposed, namely the modulation matrix meeting the actual physical requirements is obtained;
Figure GDA0002773973950000086
Figure GDA0002773973950000091
further, in the step S2, the constraint condition is solved by the following definitions;
Figure GDA0002773973950000092
Figure GDA0002773973950000093
Figure GDA0002773973950000094
further, in the step S3, the input reactive power maximization of the five-phase direct matrix converter under the constraint is realized by the following method;
as shown in FIG. 3, m is shown in FIG. 3d，mqThe constraint is represented schematically by X, Y coordinates, and as shown in FIG. 3, the constraint is divided into region 1 and region 2. The region 1 is a suboptimal solution of an optimization problem, a theoretical maximum value of the reactive power of the five-phase MC-PMSM system can be obtained under most load conditions, and a free variable value corresponding to the maximum value has an analytical expression with clear physical and mathematical meanings; the area 2 corresponds to the optimal solution of the optimization problem, the theoretical maximum value of the reactive power can be obtained under any load, but only the numerical solution can be obtained, and the operation amount in the actual operation can be reduced through a table look-up method.
In the area 1, the boundary is formed by the line segments 11, 12 and 23 and the X axis and the Y axis, and the constraint rewriting can be simplified into;
Figure GDA0002773973950000095
Figure GDA0002773973950000101
k3＝a+(1-k1)a/k2 (25)
suppose that a point M on a two-dimensional coordinate plane is given1(B,A)，M2(D,C)，M'2(-D, C), then the constraints given in equation (24) can be translated into a distance problem on a two-dimensional plane. Referring to FIG. 4, n is shown in FIG. 4I、nIIThe geometrical meaning of the constraints on a two-dimensional plane, as shown in FIG. 4, where 2nIIs M1M22n, 2nIIIs M1M2Distance of, mIIs a point M1Distance to origin, mIIIs a point M2And M2Distance to origin, i.e. converting the optimization problem under the above constraints to a point M on a two-dimensional plane1(B,A)，M2(D,C)，M'2The distance between (-D, C);
Figure GDA0002773973950000102
Figure GDA0002773973950000103
Figure GDA0002773973950000104
Figure GDA0002773973950000105
further, due to M1The abscissa is fixed as x ═ m0With the optimization objective of maximizing M1Thus converting the optimization problem to maximize the ellipse/circle and the straight line x ═ m0The ordinate of the intersection point. Writing the ordinate of the intersection point to mIIThe functional expression of (a);
Figure GDA0002773973950000106
Figure GDA0002773973950000107
Figure GDA0002773973950000108
Figure GDA0002773973950000111
according to further analysis, M1The maximum value of the ordinate of (a) is determined at the function y1(mII),y2(mII) Or the intersection point of the two, m can be obtained according to the magnitude relation between the horizontal coordinates of the threeIIThe analytical expression of (1);
Figure GDA0002773973950000112
Figure GDA0002773973950000113
thus, the maximum input idle is;
Figure GDA0002773973950000114
Qmax＝Pitanmax (36)
referring to fig. 3 again, in the area 2, the boundary is defined by line segments 21, 22 and 23, and the constraint condition is;
Figure GDA0002773973950000115
using the same analytical method, M can also be obtained1Ordinate to mIIThe functional expression of (a);
Figure GDA0002773973950000116
Figure GDA0002773973950000117
Figure GDA0002773973950000121
by plotting the two functions point by point in the defined domain by numerical method, the proper M can be obtained1Maximum time m of ordinateIISubstituting the value of (A) into the following formula to obtain the maximum M1A vertical coordinate;
Figure GDA0002773973950000122
according to the derivation analysis, m is obtained under the premise that the input and output voltages are constantIThe larger the value of (1), the larger the input power factor angle, and the larger the corresponding input reactive power range. According to md、mqCan derive n from the constraintI、nIIThen n is added toI、nIIBy mI、mIISubstituting the related expression into the constraint condition to obtain mI、mIIAt a certain m0Must be constant
Figure GDA0002773973950000123
The following constraint condition expressions. So far, the maximum control range of the reactive power is equivalently changed to be mIIIn all values of (A), mIThe maximum value that is desirable. To solve this problem, a point M on a two-dimensional coordinate plane is defined1(B,A)，M2(D,C)，M'2(-D, C), the geometrical meaning of the above constraints on two-dimensional planes is shown in FIG. 4, i.e. the optimization problem under the above constraints is converted into a distance problem on two-dimensional planes. Point M1And point M2Is 2n from each otherIPoint M1And dot M'2Is 2n from each otherII，M1Fixed as x ═ m on the abscissa0. Further, due to M1Fixed abscissa with optimization objective of maximum M1Ordinate of (a), M1Has a vertical coordinate of nI、nIICan be regarded as two conic sections and a straight line x ═ m0The smaller value in the intersection. The vertical coordinates of the two intersection points are respectively written as mIIThe smaller value of the two is taken as the functional expression of (1), namely the reactive power input range and m are obtainedIIIs used for the functional expression of (1). In finding mIIOn the premise of domain definition, the total m can be obtained by a numerical method or an analytical methodIIM at the maximum in the rangeIAnd the ordinate is the maximum input reactive power range.
Referring to fig. 5, fig. 5 is a simulation diagram of numerical simulation of the reactive power expansion method using MATLAB, as shown in fig. 5, wherein a curved surface 41 and a curved surface 42 are represented at different m0、
Figure GDA0002773973950000124
The following region 1 extension of the present algorithm, the maximum reactive power control range of region 2 extension of the present algorithm, the curved surface 43 and the curved surface 44 are shown at different m0、
Figure GDA0002773973950000125
And the maximum reactive power control range of the traditional space vector modulation and scalar modulation is adopted. For convenience of drawing, the calculated input reactive power is subjected to per unit processing.
Please refer to FIGS. 6(a) -6(c), where m is shown in FIGS. 6(a) -6(c)0＝0.7，
Figure GDA0002773973950000131
The input reactive power range of the five-phase MC-PMSM system is obtained by simulating the control algorithm by using Simulink under the load condition of (1), wherein curves 51 and 52 in the graph of FIG. 6(a) are respectively expressed as per unit values of output voltage and current; in FIG. 6(b), curve 53 represents the input voltage, and curves 54 to 57 represent the input voltageRegion 1 and region 2 of the algorithm and the input current under space vector modulation and scalar modulation of the traditional algorithm. In fig. 6(b), the larger the input current amplitude is, the larger the input power factor angle is, and the larger the reactive power is, at this time, the input voltage leads the input current, which is the maximum value of reactive power absorbed by the system; in fig. 6(c), curve 58 is the input voltage, and curves 59 to 62 represent the input current under space vector modulation and scalar modulation for region 1 and region 2 of the present algorithm and the conventional algorithm, respectively. In fig. 6(c) the input voltage lags the input current, releasing the maximum amount of reactive power for the system.
The embodiments described above are presented to enable a person having ordinary skill in the art to make and use the invention. It will be readily apparent to those skilled in the art that various modifications to the above-described embodiments may be made, and the generic principles defined herein may be applied to other embodiments without the use of inventive faculty. Therefore, the present invention is not limited to the above embodiments, and those skilled in the art should make improvements and modifications to the present invention based on the disclosure of the present invention within the protection scope of the present invention.

Claims (3)

1. A power quality optimization method of a motor system, wherein the motor system is a five-phase direct matrix converter-permanent magnet synchronous motor integrated system and comprises an input filter, a five-phase direct matrix converter and a five-phase permanent magnet synchronous motor, the input filter is arranged on the input side of the five-phase direct matrix converter and provides input voltage and input current for the five-phase direct matrix converter, the five-phase permanent magnet synchronous motor is arranged on the output side of the five-phase direct matrix converter and provides reference output voltage and reference output current for the five-phase direct matrix converter, and the method is characterized in that: comprises that
S1, calculating a modulation matrix expression containing free variables under a two-phase static coordinate system through coordinate transformation according to the requirements of voltage vectors at the input side and the output side of the five-phase direct matrix converter, calculating a modulation matrix expression under a three-phase-five-phase static coordinate system through coordinate inverse transformation, and superposing common-mode components to obtain a modulation matrix generalized expression of the five-phase direct matrix converter; wherein
The generalized expression of the modulation matrix of the five-phase direct matrix converter is as follows:
Figure FDA0002773973940000011
mijindicating switch sijThe corresponding on duty cycle, i ═ 1,2,3,4, 5; j is a number of bits of 1,2,3,
Figure FDA0002773973940000012
representing the common-mode component, M ', of the modulation matrix'abcdeIs the core of the variable frequency amplitude of the matrix converter, the M'abcdeEach element of (a) is:
Figure FDA0002773973940000013
in the formula:
Figure FDA0002773973940000014
wherein:
Figure FDA0002773973940000015
Uimrepresenting the magnitude of the input phase voltage, UomRepresenting the amplitude of the output phase voltage, mIIIs the free variable, θiu、θii、θou、θoiRespectively the initial phase angles of the resultant vectors of the input voltage, the input current, the output voltage and the output current,
Figure FDA0002773973940000016
is the load power factor angle, is the input power factor angle;
the
Figure FDA0002773973940000017
Comprises the following steps:
Figure FDA0002773973940000021
in the formula:
Figure FDA0002773973940000022
s2, deducing the value range of the free variable in the generalized expression of the five-phase direct matrix converter according to the matrix converter safe operation principle that the input side is not short-circuited, the output side is not open-circuited, and the duty ratio of each switch is larger than zero and smaller than one;
s3, calculating the value of the free variable with the maximum input reactive power of the five-phase direct matrix converter by deducing the functional relationship between the free variable and the input reactive power and combining the value range of the free variable;
and S4, substituting the free variable value with the maximum input reactive power of the five-phase direct matrix converter into the generalized expression to obtain the duty ratio corresponding to each switch in the five-phase direct matrix converter, and distributing the conduction time of each switch in the five-phase direct matrix converter according to the duty ratio to obtain the maximum reactive power of the five-phase direct matrix converter-permanent magnet synchronous motor integrated system.
2. The power quality optimization method of the motor system according to claim 1, wherein: the vector control of the five-phase permanent magnet synchronous motor adopts a double closed loop PI control method of a rotating speed outer loop and a current inner loop to respectively control d-axis and q-axis currents, and provides a reference output voltage vector required under a given rotating speed for the five-phase direct matrix converter by combining coordinate transformation.
3. The power quality optimization method of the motor system according to claim 2, wherein: in step S1, the input-side and output-side voltage vectors are obtained by:
s11, obtaining a q-axis current reference value according to the rotating speed outer ring of the five-phase permanent magnet synchronous motor, and controlling d-axis current by adopting id equal to 0;
s12, carrying out current sampling and coordinate transformation on the five-phase current of the five-phase permanent magnet synchronous motor to obtain d-axis and q-axis current actual values;
s13, carrying out PI regulation on the d-axis current difference and the q-axis current difference by the current inner loop current regulator, and obtaining a voltage vector of an output side through coordinate transformation;
and S15, performing voltage sampling on the input side of the five-phase direct matrix converter to obtain an input side voltage vector.
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