CN111800058A - Electric energy quality optimization method of motor system - Google Patents

Electric energy quality optimization method of motor system Download PDF

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CN111800058A
CN111800058A CN202010914394.7A CN202010914394A CN111800058A CN 111800058 A CN111800058 A CN 111800058A CN 202010914394 A CN202010914394 A CN 202010914394A CN 111800058 A CN111800058 A CN 111800058A
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phase
matrix converter
input
phase direct
direct matrix
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CN111800058B (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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  • Engineering & Computer Science (AREA)
  • Power Engineering (AREA)
  • Control Of Ac Motors In General (AREA)
  • Ac-Ac Conversion (AREA)

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-.
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, wherein d-axis current is controlled by adopting id = 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 a drawing showing
Figure 391616DEST_PATH_IMAGE001
、
Figure 316847DEST_PATH_IMAGE002
And (4) constraint condition schematic diagrams.
FIG. 4 is a drawing showing
Figure 885363DEST_PATH_IMAGE003
、
Figure 946860DEST_PATH_IMAGE004
The 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.
FIGS. 6(a) -6 (c) are at
Figure 27948DEST_PATH_IMAGE005
，
Figure 440475DEST_PATH_IMAGE006
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, wherein d-axis current is controlled by adopting id = 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:
assuming a three-phase sinusoidal input voltage provided by the input filter 10
Figure 937315DEST_PATH_IMAGE007
Current of
Figure 118898DEST_PATH_IMAGE008
Output reference voltage of five-phase permanent magnet synchronous motor
Figure 308571DEST_PATH_IMAGE009
Current of
Figure 316716DEST_PATH_IMAGE010
The expression of (1) is;
Figure 679564DEST_PATH_IMAGE011
wherein:
Figure 981232DEST_PATH_IMAGE012
which is representative of the magnitude of the input phase voltage,
Figure 810648DEST_PATH_IMAGE013
representing the magnitude of the input phase current,
Figure 807554DEST_PATH_IMAGE014
，
Figure 177356DEST_PATH_IMAGE015
which is representative of the angular frequency of the input voltage,
Figure 536793DEST_PATH_IMAGE016
，
Figure 130585DEST_PATH_IMAGE017
which represents the angle of the input power factor,
Figure 739421DEST_PATH_IMAGE018
the representation represents the magnitude of the output phase voltage,
Figure 755656DEST_PATH_IMAGE019
representing the magnitude of the output phase current,
Figure 766338DEST_PATH_IMAGE020
，
Figure 468714DEST_PATH_IMAGE021
which represents the angular frequency of the output voltage,
Figure 564846DEST_PATH_IMAGE022
is the initial phase angle of the output voltage relative to the input voltage,
Figure 276450DEST_PATH_IMAGE023
，
Figure 938376DEST_PATH_IMAGE024
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 77233DEST_PATH_IMAGE025
Figure 4869DEST_PATH_IMAGE026
wherein:
Figure 254585DEST_PATH_IMAGE027
indicating switch
Figure 974279DEST_PATH_IMAGE028
A corresponding on duty cycle, i =1,2,3,4, 5; j =1,2,3,
Figure 284038DEST_PATH_IMAGE029
representing the common-mode component of the modulation matrix,
Figure 948237DEST_PATH_IMAGE030
is the core of the variable frequency and amplitude of the matrix converter.
Converting the input and output physical quantities into general expression of modulation matrix by coordinate transformation
Figure 1644DEST_PATH_IMAGE031
Solving under a static two-phase coordinate system;
Figure 887429DEST_PATH_IMAGE032
Figure 368089DEST_PATH_IMAGE033
Figure 660530DEST_PATH_IMAGE034
after transformation to obtain
Figure 986469DEST_PATH_IMAGE035
Two phasesGeneralized modulation matrix expression in stationary coordinate system
Figure 680756DEST_PATH_IMAGE036
Or split into common mode component matrix
Figure 191372DEST_PATH_IMAGE037
Amplitude and frequency transformed kernel matrix
Figure 236688DEST_PATH_IMAGE038
Can be solved by voltage, current and power balance equations
Figure 100739DEST_PATH_IMAGE038
The expression of (3) is obtained by solving a generalized modulation matrix expression under a three-phase-five-phase static coordinate system through coordinate inverse transformation;
Figure DEST_PATH_IMAGE039
Figure 197002DEST_PATH_IMAGE040
Figure DEST_PATH_IMAGE041
wherein:
Figure 144098DEST_PATH_IMAGE042
，
Figure 411131DEST_PATH_IMAGE043
is a free variable, as long as the transformation of given voltage and current can be realized,
Figure 78873DEST_PATH_IMAGE044
、
Figure 482173DEST_PATH_IMAGE045
、
Figure 787121DEST_PATH_IMAGE046
、
Figure 541450DEST_PATH_IMAGE047
respectively the initial phase angles of the resultant vectors of the input voltage, the input current, the output voltage and the output current,
Figure 278462DEST_PATH_IMAGE048
in order to be the load power factor angle,
Figure 395323DEST_PATH_IMAGE049
in order to input the power factor angle,
Figure 825167DEST_PATH_IMAGE050
；
as described above
Figure 535634DEST_PATH_IMAGE051
The 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 76337DEST_PATH_IMAGE052
further, in the step S2, the constraint condition is solved by the following definitions;
Figure 64016DEST_PATH_IMAGE053
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, FIG. 3 is a schematic representation of a method for making a semiconductor device
Figure 399182DEST_PATH_IMAGE054
，
Figure 924841DEST_PATH_IMAGE055
A constraint graph of coordinates X, Y, as shown in FIG. 3, will be approximatelyThe bundle condition is divided into zone 1 and zone 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 3656DEST_PATH_IMAGE056
given a point on a two-dimensional coordinate plane
Figure 970475DEST_PATH_IMAGE057
，
Figure 476542DEST_PATH_IMAGE058
，
Figure 801082DEST_PATH_IMAGE059
Then the constraints given in equation (24) can be translated into a distance problem on a two-dimensional plane. Referring to FIG. 4, FIG. 4 shows
Figure 683588DEST_PATH_IMAGE060
、
Figure 832809DEST_PATH_IMAGE061
The geometrical meaning of the constraints on a two-dimensional plane, as shown in FIG. 4, wherein
Figure 775357DEST_PATH_IMAGE062
Is composed ofM 1 M 2 The distance of,
Figure 682133DEST_PATH_IMAGE063
Is composed ofM 1 M 2 ’The distance of,
Figure 102751DEST_PATH_IMAGE064
Is a pointM 1 The distance from the origin,
Figure 185107DEST_PATH_IMAGE065
Is a pointM 2 AndM 2 ’distance to origin, i.e. converting the optimization problem under the above constraints to a point on a two-dimensional plane
Figure 32977DEST_PATH_IMAGE057
，
Figure 427050DEST_PATH_IMAGE058
，
Figure 651358DEST_PATH_IMAGE059
The distance between them;
Figure 775171DEST_PATH_IMAGE066
further, due toM 1 Fixed on the abscissa
Figure 59522DEST_PATH_IMAGE067
With the optimization objective of maximizationM 1 Thereby converting the optimization problem to maximize ellipses/circles and straight lines
Figure 472049DEST_PATH_IMAGE067
The ordinate of the intersection point. Writing the ordinate of the intersection point as
Figure 77212DEST_PATH_IMAGE068
The functional expression of (a);
Figure 258794DEST_PATH_IMAGE069
according to a further stepThe analysis can be carried out to obtain the content,M 1 the maximum value of the ordinate of the function
Figure 448467DEST_PATH_IMAGE070
，
Figure 348290DEST_PATH_IMAGE071
According to the magnitude relation between the horizontal coordinates of the three, the extreme point of (A) or the intersection point of the two can be obtained
Figure 711138DEST_PATH_IMAGE072
The analytical expression of (1);
Figure 747227DEST_PATH_IMAGE073
thus, the maximum input idle is;
Figure 717589DEST_PATH_IMAGE074
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 DEST_PATH_IMAGE075
by the same analytical method, can also be obtainedM 1 The ordinate is about
Figure 839128DEST_PATH_IMAGE072
The functional expression of (a);
Figure 943351DEST_PATH_IMAGE076
by plotting the two functions point by point in the defined domain by using a numerical method, the equivalent value can be obtainedM 1 When the ordinate is maximum
Figure 693001DEST_PATH_IMAGE072
Is a value ofThe maximum value is obtained byM 1 A vertical coordinate;
Figure 490055DEST_PATH_IMAGE077
according to the derivation analysis, under the premise of a certain input and output voltage,
Figure 168334DEST_PATH_IMAGE078
the larger the value of (1), the larger the input power factor angle, and the larger the corresponding input reactive power range. According to
Figure 341826DEST_PATH_IMAGE079
、
Figure 352508DEST_PATH_IMAGE080
Can derive the constraint conditions of
Figure 789305DEST_PATH_IMAGE081
、
Figure 885437DEST_PATH_IMAGE082
Will then be
Figure 190517DEST_PATH_IMAGE081
、
Figure 321284DEST_PATH_IMAGE082
By using
Figure 928983DEST_PATH_IMAGE078
、
Figure 512411DEST_PATH_IMAGE083
Substituting the related expression into the constraint condition to obtain
Figure 309597DEST_PATH_IMAGE078
、
Figure 294870DEST_PATH_IMAGE083
At a certain place
Figure 463683DEST_PATH_IMAGE084
Must be constant
Figure 534407DEST_PATH_IMAGE085
The following constraint condition expressions. To this end, the maximum control range of the reactive power is equivalently changed to be
Figure 587814DEST_PATH_IMAGE083
In all the values of (a) to (b),
Figure 896436DEST_PATH_IMAGE078
the maximum value that is desirable. To solve this problem, points on a two-dimensional coordinate plane are defined
Figure 377096DEST_PATH_IMAGE086
，
Figure 715542DEST_PATH_IMAGE087
，
Figure 572639DEST_PATH_IMAGE088
The geometrical meaning of the above constraint on the two-dimensional plane is shown in fig. 4, that is, the optimization problem under the above constraint is converted into a distance problem on the two-dimensional plane. Dot
Figure 860401DEST_PATH_IMAGE089
And point
Figure 511963DEST_PATH_IMAGE090
Is a distance of
Figure 291700DEST_PATH_IMAGE091
Point of contact
Figure 686909DEST_PATH_IMAGE089
And point
Figure 579910DEST_PATH_IMAGE092
Is a distance of
Figure 667951DEST_PATH_IMAGE093
，
Figure 731722DEST_PATH_IMAGE089
Is fixed as the abscissa of
Figure 665043DEST_PATH_IMAGE094
. Further, due to
Figure 333922DEST_PATH_IMAGE089
Fixed abscissa with optimization objective of maximization
Figure 61707DEST_PATH_IMAGE089
The ordinate of (a) is,
Figure 550457DEST_PATH_IMAGE089
on the ordinate of
Figure 661370DEST_PATH_IMAGE081
、
Figure 184755DEST_PATH_IMAGE082
Can be regarded as two conic curves and straight lines
Figure 145758DEST_PATH_IMAGE094
The smaller value in the intersection. The vertical coordinates of the two intersection points are respectively written as
Figure 387384DEST_PATH_IMAGE083
The smaller value of the two is taken as the functional expression of (1), namely the reactive power input range and
Figure 396928DEST_PATH_IMAGE095
is used for the functional expression of (1). In obtaining
Figure 774820DEST_PATH_IMAGE083
On the premise of domain definition, the total value can be obtained by a numerical method or an analytical method
Figure 985352DEST_PATH_IMAGE083
Maximum in range
Figure 448695DEST_PATH_IMAGE078
And 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 shown as different
Figure 793088DEST_PATH_IMAGE096
、
Figure 759907DEST_PATH_IMAGE085
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 in different
Figure 265975DEST_PATH_IMAGE096
、
Figure 278930DEST_PATH_IMAGE085
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 fig. 6(a) -6 (c), fig. 6(a) -6 (c) are
Figure 161436DEST_PATH_IMAGE097
，
Figure 356662DEST_PATH_IMAGE098
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 is the input voltage, and curves 54 to 57 represent the input current under space vector modulation and scalar modulation in the region 1 and region 2 of the present algorithm and the conventional algorithm, respectively. In FIG. 6(b), the larger the input current amplitude, the higher the input power factorThe larger the angle is, the larger the reactive power is, and the input voltage leads the input current at the moment, so that the maximum value of reactive power absorption of the system is obtained; 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;
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.
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, wherein d-axis current is controlled by adopting id = 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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