CN112532069A - Space vector overmodulation method and device suitable for matrix converter - Google Patents

Space vector overmodulation method and device suitable for matrix converter Download PDF

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Publication number
CN112532069A
CN112532069A CN202011496424.3A CN202011496424A CN112532069A CN 112532069 A CN112532069 A CN 112532069A CN 202011496424 A CN202011496424 A CN 202011496424A CN 112532069 A CN112532069 A CN 112532069A
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vector
hexagonal
circular
basic
reference voltage
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夏益辉
叶志浩
张晓锋
赵镜红
黄靖
陈诚
王泽润
陈建
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Naval University of Engineering PLA
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    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02MAPPARATUS FOR CONVERSION BETWEEN AC AND AC, BETWEEN AC AND DC, OR BETWEEN DC AND DC, AND FOR USE WITH MAINS OR SIMILAR POWER SUPPLY SYSTEMS; CONVERSION OF DC OR AC INPUT POWER INTO SURGE OUTPUT POWER; CONTROL OR REGULATION THEREOF
    • H02M5/00Conversion of ac power input into ac power output, e.g. for change of voltage, for change of frequency, for change of number of phases
    • H02M5/02Conversion of ac power input into ac power output, e.g. for change of voltage, for change of frequency, for change of number of phases without intermediate conversion into dc
    • H02M5/04Conversion of ac power input into ac power output, e.g. for change of voltage, for change of frequency, for change of number of phases without intermediate conversion into dc by static converters
    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02MAPPARATUS FOR CONVERSION BETWEEN AC AND AC, BETWEEN AC AND DC, OR BETWEEN DC AND DC, AND FOR USE WITH MAINS OR SIMILAR POWER SUPPLY SYSTEMS; CONVERSION OF DC OR AC INPUT POWER INTO SURGE OUTPUT POWER; CONTROL OR REGULATION THEREOF
    • H02M1/00Details of apparatus for conversion
    • H02M1/08Circuits specially adapted for the generation of control voltages for semiconductor devices incorporated in static converters
    • H02M1/088Circuits specially adapted for the generation of control voltages for semiconductor devices incorporated in static converters for the simultaneous control of series or parallel connected semiconductor devices

Abstract

A space vector overmodulation method and apparatus for a matrix converter, the method comprising the steps of: step 1, synthesizing a reference voltage vector through a basic vector, a hexagonal vector and a circular vector; step 2, calculating the vector amplitude of the reference voltage and determining the modulation ratio; judging vector combination based on the modulation ratio, if the modulation ratio is not in the range of 0.866-0.909, synthesizing the reference voltage vector by the hexagonal vector and the circular vector, and if the modulation ratio is in the range of 0.866-0.909, synthesizing the reference voltage vector by the hexagonal vector and the circular vector; and 4, calculating the duty ratios of the basic vector, the hexagonal vector and the circular vector according to the volt-second principle of vector synthesis based on the weight parameters of the basic vector, the hexagonal vector and the circular vector.

Description

Space vector overmodulation method and device suitable for matrix converter
Technical Field
The invention relates to the field of vector modulation of matrix converters, in particular to a space vector overmodulation method and device suitable for a matrix converter.
Background
The matrix converter as an AC-AC frequency converter includes direct matrix converter and indirect matrix converter, and consists of input filter, main circuit, clamping circuit, control circuit, etc. Compared with the traditional AC-DC-AC frequency conversion device, the matrix converter has the advantages of high power density, no intermediate DC energy storage link, capability of realizing four-quadrant operation, capability of controlling input and output currents to be sine waves and the like, and has wide application prospects in the fields of AC speed regulation, power quality regulation and the like. When the matrix converter is used for supplying power to the motor, the space vector modulation of the matrix converter is low in linear region voltage transmission ratio, the maximum is 0.866, and the low input voltage of the motor can increase loss and reduce the system operation efficiency on the one hand, and can reduce the system speed regulation range on the other hand, thereby limiting the application occasions of the system.
Disclosure of Invention
In view of the technical defects and technical drawbacks in the prior art, embodiments of the present invention provide a method and an apparatus for overmodulation of a space vector for a matrix converter, which overcome or at least partially solve the above problems, and the specific scheme is as follows:
as a first aspect of the present invention, there is provided a space vector overmodulation method applied to a matrix converter, the method comprising the steps of:
step 1, synthesizing a reference voltage vector through a basic vector, a hexagonal vector and a circular vector;
step 2, calculating the vector amplitude of the reference voltage and determining the modulation ratio;
step 3, adjusting the weight parameters of the basic vector, the hexagonal vector and the circular vector based on the modulation ratio;
and 4, calculating the duty ratios of the basic vector, the hexagonal vector and the circular vector according to the volt-second principle of vector synthesis based on the weight parameters of the basic vector, the hexagonal vector and the circular vector.
Further, in step 1, the calculation formulas of the basic vector, the hexagonal vector and the circular vector are as follows: the formula I is as follows:
Figure BDA0002842290990000021
wherein, UdcTo virtualize the DC side voltage of the inverter, thetajFor the phase of the reference voltage vector, UxIs a base vector, UsinIs a circular vector of six, UhexThe vector is a hexagonal vector, wherein x is 1-6.
Further, in step 2, let the reference voltage vector magnitude UoutIf m is equal to Uout/UimThe output voltage fundamental wave amplitude corresponding to the circular vector is 0.866UimThe hexagonal vector fundamental voltage amplitude is 0.909UimThe basic vector corresponds to the basic amplitude U of the output voltageim(ii) a A reference voltage vector U for the fundamental voltage amplitude that can be output by the basic vector, the hexagonal vector and the circular vectorrFrom a base vector UxHexagonal vector UhexAnd a circular vector UsinThe design is carried out according to the following weight parameters:
the formula II is as follows:
Figure BDA0002842290990000022
wherein, a is the weight parameter of the circular vector, b is the weight parameter of the hexagonal vector, and c is the weight parameter of the basic vector.
Further, step 3 specifically comprises:
judging whether the modulation ratio is in the range of 0.866-0.909;
if the modulation ratio is in the range of 0.866-0.909, the reference voltage vector is composed of a hexagonal vector and a circular vector, and the modulation ratio and the weight parameters of the hexagonal vector and the circular vector satisfy the following formula three:
the formula III is as follows:
Figure BDA0002842290990000031
if the modulation ratio is not in the range of 0.866-0.909, the reference voltage vector is synthesized by a hexagonal vector and a circular vector, and the modulation ratio and the weight parameters of the hexagonal vector and the circular vector satisfy the following formula four:
the formula four is as follows:
Figure BDA0002842290990000032
wherein, a is the weight parameter of the circular vector, b is the weight parameter of the hexagonal vector, and c is the weight parameter of the basic vector.
Further, in step 4, after the weight parameters of the basic vector, the hexagonal vector and the circular vector are obtained, the vector weight parameters are substituted into the reference voltage vector expression, and the duty ratios of the basic vector, the hexagonal vector and the circular vector are calculated according to the volt-second principle of vector synthesis.
As a second aspect of the present invention, there is provided a space vector overshoot apparatus suitable for a matrix converter, the apparatus including a vector synthesis module, an adjustment ratio definition module, a weight determination module, and a duty ratio calculation module;
the vector synthesis module is used for synthesizing a reference voltage vector through a basic vector, a hexagonal vector and a circular vector;
the regulation ratio definition module is used for calculating the vector amplitude of the reference voltage and determining the modulation ratio;
the weight determining module is used for adjusting the weight parameters of the basic vector, the hexagonal vector and the circular vector based on the modulation ratio;
and the duty ratio calculation module is used for calculating the duty ratios of the basic vector, the hexagonal vector and the circular vector according to the volt-second principle of vector synthesis based on the weight parameters of the basic vector, the hexagonal vector and the circular vector.
Further, the basic vector, hexagonal vector and circular vector calculation formulas are as follows:
the formula I is as follows:
Figure BDA0002842290990000041
wherein, UdcTo virtualize the DC side voltage of the inverter, thetajFor the phase of the reference voltage vector, UxIs a base vector, UsinIs a circular vector of six, UhexThe vector is a hexagonal vector, wherein x is 1-6.
Further, let the reference voltage vector magnitude UoutIf m is equal to Uout/UimThe output voltage fundamental wave amplitude corresponding to the circular vector is 0.866UimThe hexagonal vector fundamental voltage amplitude is 0.909UimThe basic vector corresponds to the basic amplitude U of the output voltageim(ii) a A reference voltage vector U for the fundamental voltage amplitude that can be output by the basic vector, the hexagonal vector and the circular vectorrFrom a base vector UxHexagonal vector UhexAnd a circular vector UsinThe design is carried out according to the following weight parameters:
the formula II is as follows:
Figure BDA0002842290990000042
wherein, a is the weight parameter of the circular vector, b is the weight parameter of the hexagonal vector, and c is the weight parameter of the basic vector.
Further, the weight determining module is specifically configured to:
judging whether the modulation ratio is in the range of 0.866-0.909;
if the modulation ratio is in the range of 0.866-0.909, the reference voltage vector is composed of a hexagonal vector and a circular vector, and the modulation ratio and the weight parameters of the hexagonal vector and the circular vector satisfy the following formula three:
the formula III is as follows:
Figure BDA0002842290990000051
if the modulation ratio is not in the range of 0.866-0.909, the reference voltage vector is synthesized by a hexagonal vector and a circular vector, and the modulation ratio and the weight parameters of the hexagonal vector and the circular vector satisfy the following formula four:
the formula four is as follows:
Figure BDA0002842290990000052
wherein, a is the weight parameter of the circular vector, b is the weight parameter of the hexagonal vector, and c is the weight parameter of the basic vector.
Further, after the weight parameters of the basic vector, the hexagonal vector and the circular vector are obtained, the vector weight parameters are substituted into a reference voltage vector expression, and the duty ratios of the basic vector, the hexagonal vector and the circular vector are calculated according to the volt-second principle of vector synthesis.
The invention has the following beneficial effects:
(1) by adopting a space vector overmodulation method suitable for the matrix converter, the aim of improving the voltage transmission ratio of the matrix converter can be fulfilled;
(2) the weights of the basic vector, the hexagonal vector and the circular vector in the reference voltage vector can be flexibly set, and the voltage transmission ratio of the matrix converter can be flexibly adjusted.
Drawings
FIG. 1 is a flow chart of a space vector overmodulation method for a matrix converter according to an embodiment of the present invention;
fig. 2 is a space vector diagram of a basic vector, a hexagonal vector, and a circular vector and a reference voltage vector provided by an embodiment of the present invention.
Detailed Description
The technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the drawings in the embodiments of the present invention, and it is obvious that the described embodiments are only a part of the present invention, and not all embodiments. All other embodiments, which can be derived by a person skilled in the art from the embodiments given herein without making any creative effort, shall fall within the protection scope of the present invention.
As shown in fig. 1 to 2, as a first embodiment of the present invention, there is provided a space vector overmodulation method applied to a matrix converter, the method including the steps of:
step 1, synthesizing a reference voltage vector through a basic vector, a hexagonal vector and a circular vector;
the calculation formulas of the basic vector, the hexagonal vector and the circular vector are as follows:
the formula I is as follows:
Figure BDA0002842290990000061
wherein, UdcTo virtualize the DC side voltage of the inverter, thetajFor the phase of the reference voltage vector, UxIs a base vector, UsinIs a circular vector of six, UhexThe vector is a hexagonal vector, wherein x is 1-6.
The invention, the reference voltage vector of which consists of a basic vector Ux(x is 1-6) and hexagonal vector UhexAnd a circular vector UsinThe combination is carried out according to certain weight, and the target that the actual output tracks the expected output can be realized.
Step 2, calculating the vector amplitude of the reference voltage and determining the modulation ratio;
wherein, in step 2, the vector amplitude U of the reference voltage is setoutIf m is equal to Uout/UimThe output voltage fundamental wave amplitude corresponding to the circular vector is 0.866UimThe hexagonal vector fundamental voltage amplitude is 0.909UimThe basic vector corresponds to the basic amplitude U of the output voltageimSubstituting the modulation ratio corresponding to the reference vector into a formula I to obtain a mathematical expression containing a basic vector, a hexagonal vector and a circular vector; a reference voltage vector U for the fundamental voltage amplitude that can be output by the basic vector, the hexagonal vector and the circular vectorrFrom a base vector UxHexagonal vector UhexAnd a circular vector UsinThe design is carried out according to the following weight parameters:
the formula II is as follows:
Figure BDA0002842290990000071
and on the premise of meeting the formula, firstly, the weight a of the circular vector is improved as much as possible, secondly, the weight b of the hexagonal vector is improved as much as possible, and finally, the weight c of the basic vector is calculated.
Step 3, adjusting the weight parameters of the basic vector, the hexagonal vector and the circular vector based on the modulation ratio;
the step 3 specifically comprises the following steps:
judging whether the modulation ratio is in the range of 0.866-0.909;
if the modulation ratio is in the range of 0.866-0.909, the reference voltage vector is composed of a hexagonal vector and a circular vector, and the modulation ratio and the weight parameters of the hexagonal vector and the circular vector satisfy the following formula three:
the formula III is as follows:
Figure BDA0002842290990000072
on the premise that the above formula is satisfied, firstly, the weight a of the circular vector is increased as much as possible, and secondly, the weight b of the hexagonal vector is increased as much as possible.
If the modulation ratio is not in the range of 0.866-0.909, the reference voltage vector is synthesized by a hexagonal vector and a circular vector, and the modulation ratio and the weight parameters of the hexagonal vector and the circular vector satisfy the following formula four:
the formula four is as follows:
Figure BDA0002842290990000081
on the premise that the above formula is satisfied, firstly, the weight b of the hexagonal vector is increased as much as possible, and secondly, the weight c of the basic vector is increased as much as possible.
In addition, the weight parameters of each vector can be respectively obtained according to the weight parameter calculation principle by combining the weight parameter selection ranges of the basic vector, the hexagonal vector and the circular vector.
And 4, after obtaining the weight parameters of the basic vector, the hexagonal vector and the circular vector, substituting the weight parameters of the vectors into a reference voltage vector expression, and calculating the duty ratios of the basic vector, the hexagonal vector and the circular vector according to the volt-second principle of vector synthesis.
The invention provides a space vector overmodulation method suitable for a matrix converter, wherein a reference voltage vector is synthesized by a basic vector, a hexagonal vector and a circular vector, the weight of the reference voltage vector is judged according to the amplitude of the reference vector, the duty ratio of each vector is calculated according to the volt-second equal principle, and the weights of the basic vector, the hexagonal vector and the circular vector can be automatically adjusted according to the amplitude of the reference vector, so that the target that the actual output voltage/current tracks the reference output voltage/current is realized.
As a second embodiment of the present invention, there is also provided a space vector overshoot apparatus suitable for a matrix converter, characterized in that the apparatus includes a vector synthesis module, an adjustment ratio definition module, a weight determination module, and a duty ratio calculation module;
the vector synthesis module is used for synthesizing a reference voltage vector through a basic vector, a hexagonal vector and a circular vector;
the regulation ratio definition module is used for calculating the vector amplitude of the reference voltage and determining the modulation ratio;
the weight determining module is used for adjusting the weight parameters of the basic vector, the hexagonal vector and the circular vector based on the modulation ratio;
and the duty ratio calculation module is used for calculating the duty ratios of the basic vector, the hexagonal vector and the circular vector according to the volt-second principle of vector synthesis based on the weight parameters of the basic vector, the hexagonal vector and the circular vector.
The above description is only for the purpose of illustrating the preferred embodiments of the present invention and is not to be construed as limiting the invention, and any modifications, equivalents, improvements and the like that fall within the spirit and principle of the present invention are intended to be included therein.

Claims (10)

1. A method of space vector overmodulation for a matrix converter, the method comprising the steps of:
step 1, synthesizing a reference voltage vector through a basic vector, a hexagonal vector and a circular vector;
step 2, calculating the vector amplitude of the reference voltage and determining the modulation ratio;
step 3, adjusting the weight parameters of the basic vector, the hexagonal vector and the circular vector based on the modulation ratio;
and 4, calculating the duty ratios of the basic vector, the hexagonal vector and the circular vector according to the volt-second principle of vector synthesis based on the weight parameters of the basic vector, the hexagonal vector and the circular vector.
2. The method of overmodulation of space vectors for a matrix converter according to claim 1, wherein in step 1, the basic vectors, the hexagonal vectors and the circular vectors are calculated as follows:
the formula I is as follows:
Figure FDA0002842290980000011
wherein, UdcTo virtualize the DC side voltage of the inverter, thetajFor the phase of the reference voltage vector, UxIs a base vector, UsinIs a circular vector of six, UhexThe vector is a hexagonal vector, wherein x is 1-6.
3. The method of claim 2, wherein in step 2, the magnitude U of the reference voltage vector is adjustedoutIf m is equal to Uout/UimThe output voltage fundamental wave amplitude corresponding to the circular vector is 0.866UimThe hexagonal vector fundamental voltage amplitude is 0.909UimThe basic vector corresponds to the basic amplitude U of the output voltageim(ii) a A reference voltage vector U for the fundamental voltage amplitude that can be output by the basic vector, the hexagonal vector and the circular vectorrFrom a base vector UxHexagonal vector UhexAnd a circular vector UsinThe design is carried out according to the following weight parameters:
the formula II is as follows:
Figure FDA0002842290980000021
wherein, a is the weight parameter of the circular vector, b is the weight parameter of the hexagonal vector, and c is the weight parameter of the basic vector.
4. The method for overmodulation of a space vector for a matrix converter according to claim 1, wherein step 3 is specifically:
judging whether the modulation ratio is in the range of 0.866-0.909;
if the modulation ratio is in the range of 0.866-0.909, the reference voltage vector is composed of a hexagonal vector and a circular vector, and the modulation ratio and the weight parameters of the hexagonal vector and the circular vector satisfy the following formula three:
the formula III is as follows:
Figure FDA0002842290980000022
if the modulation ratio is not in the range of 0.866-0.909, the reference voltage vector is synthesized by a hexagonal vector and a circular vector, and the modulation ratio and the weight parameters of the hexagonal vector and the circular vector satisfy the following formula four:
the formula four is as follows:
Figure FDA0002842290980000023
wherein, a is the weight parameter of the circular vector, b is the weight parameter of the hexagonal vector, and c is the weight parameter of the basic vector.
5. The method of overmodulation on of space vectors for a matrix converter according to claim 1, wherein in step 4, after obtaining the weight parameters of the basis vectors, the hexagonal vectors and the circular vectors, the vector weight parameters are substituted into the reference voltage vector expression, and the duty ratios of the basis vectors, the hexagonal vectors and the circular vectors are calculated according to the volt-second principle of vector synthesis.
6. The device is characterized by comprising a vector synthesis module, an adjustment ratio definition module, a weight determination module and a duty ratio calculation module;
the vector synthesis module is used for synthesizing a reference voltage vector through a basic vector, a hexagonal vector and a circular vector;
the regulation ratio definition module is used for calculating the vector amplitude of the reference voltage and determining the modulation ratio;
the weight determining module is used for adjusting the weight parameters of the basic vector, the hexagonal vector and the circular vector based on the modulation ratio;
and the duty ratio calculation module is used for calculating the duty ratios of the basic vector, the hexagonal vector and the circular vector according to the volt-second principle of vector synthesis based on the weight parameters of the basic vector, the hexagonal vector and the circular vector.
7. The space vector overshoot device suitable for a matrix converter according to claim 6, wherein the basic vector, the hexagonal vector and the circular vector are calculated as follows:
the formula I is as follows:
Figure FDA0002842290980000031
wherein, UdcTo virtualize the DC side voltage of the inverter, thetajFor the phase of the reference voltage vector, UxIs a base vector, UsinIs a circular vector of six, UhexThe vector is a hexagonal vector, wherein x is 1-6.
8. The device of claim 6, wherein the reference voltage vector magnitude is UoutIf m is equal to Uout/UimOutput voltage fundamental wave corresponding to circular vectorThe amplitude is 0.866UimThe hexagonal vector fundamental voltage amplitude is 0.909UimThe basic vector corresponds to the basic amplitude U of the output voltageim(ii) a A reference voltage vector U for the fundamental voltage amplitude that can be output by the basic vector, the hexagonal vector and the circular vectorrFrom a base vector UxHexagonal vector UhexAnd a circular vector UsinThe design is carried out according to the following weight parameters:
the formula II is as follows:
Figure FDA0002842290980000041
wherein, a is the weight parameter of the circular vector, b is the weight parameter of the hexagonal vector, and c is the weight parameter of the basic vector.
9. The device of claim 6, wherein the weight determination module is further configured to:
judging whether the modulation ratio is in the range of 0.866-0.909;
if the modulation ratio is in the range of 0.866-0.909, the reference voltage vector is composed of a hexagonal vector and a circular vector, and the modulation ratio and the weight parameters of the hexagonal vector and the circular vector satisfy the following formula three:
the formula III is as follows:
Figure FDA0002842290980000042
if the modulation ratio is not in the range of 0.866-0.909, the reference voltage vector is synthesized by a hexagonal vector and a circular vector, and the modulation ratio and the weight parameters of the hexagonal vector and the circular vector satisfy the following formula four:
the formula four is as follows:
Figure FDA0002842290980000043
wherein, a is the weight parameter of the circular vector, b is the weight parameter of the hexagonal vector, and c is the weight parameter of the basic vector.
10. The space vector overshoot device according to claim 6, wherein the duty ratios of the basic vector, the hexagonal vector, and the circular vector are calculated according to the volt-second principle of vector synthesis by substituting the vector weight parameters into the reference voltage vector expression after the weight parameters of the basic vector, the hexagonal vector, and the circular vector are obtained.
CN202011496424.3A 2020-12-17 2020-12-17 Space vector overmodulation method and device suitable for matrix converter Pending CN112532069A (en)

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CN110112929A (en) * 2018-12-20 2019-08-09 河北工业大学 A kind of indirect matrix converter space vector overmodulation method
US10587214B1 (en) * 2019-03-22 2020-03-10 Hamilton Sundstrand Corporation Matrix converter operation in current control mode with regulation of output voltage vector

Patent Citations (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US20120187876A1 (en) * 2011-01-26 2012-07-26 GM Global Technology Operations LLC Methods, systems and apparatus for controlling third harmonic voltage when operating a multi-phase machine in an overmodulation region
CN110112929A (en) * 2018-12-20 2019-08-09 河北工业大学 A kind of indirect matrix converter space vector overmodulation method
US10587214B1 (en) * 2019-03-22 2020-03-10 Hamilton Sundstrand Corporation Matrix converter operation in current control mode with regulation of output voltage vector

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Application publication date: 20210319