CN114785101A - Harmonic group online suppression method and system of single-phase cascade H-bridge converter - Google Patents

Harmonic group online suppression method and system of single-phase cascade H-bridge converter Download PDF

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CN114785101A
CN114785101A CN202210453616.9A CN202210453616A CN114785101A CN 114785101 A CN114785101 A CN 114785101A CN 202210453616 A CN202210453616 A CN 202210453616A CN 114785101 A CN114785101 A CN 114785101A
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harmonic
module
group
phase
bridge
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CN114785101B (en
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马俊鹏
焦宁
王顺亮
刘天琪
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Sichuan University
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    • H—ELECTRICITY
    • H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02M—APPARATUS 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
    • H02M1/00—Details of apparatus for conversion
    • H02M1/12—Arrangements for reducing harmonics from ac input or output
    • H—ELECTRICITY
    • H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02M—APPARATUS 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
    • H02M7/00—Conversion of ac power input into dc power output; Conversion of dc power input into ac power output
    • H02M7/42—Conversion of dc power input into ac power output without possibility of reversal
    • H02M7/44—Conversion of dc power input into ac power output without possibility of reversal by static converters
    • H02M7/48—Conversion of dc power input into ac power output without possibility of reversal by static converters using discharge tubes with control electrode or semiconductor devices with control electrode
    • H—ELECTRICITY
    • H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02M—APPARATUS 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
    • H02M7/00—Conversion of ac power input into dc power output; Conversion of dc power input into ac power output
    • H02M7/42—Conversion of dc power input into ac power output without possibility of reversal
    • H02M7/44—Conversion of dc power input into ac power output without possibility of reversal by static converters
    • H02M7/48—Conversion of dc power input into ac power output without possibility of reversal by static converters using discharge tubes with control electrode or semiconductor devices with control electrode
    • H02M7/53—Conversion of dc power input into ac power output without possibility of reversal by static converters using discharge tubes with control electrode or semiconductor devices with control electrode using devices of a triode or transistor type requiring continuous application of a control signal
    • H02M7/537—Conversion of dc power input into ac power output without possibility of reversal by static converters using discharge tubes with control electrode or semiconductor devices with control electrode using devices of a triode or transistor type requiring continuous application of a control signal using semiconductor devices only, e.g. single switched pulse inverters
    • H02M7/5387—Conversion of dc power input into ac power output without possibility of reversal by static converters using discharge tubes with control electrode or semiconductor devices with control electrode using devices of a triode or transistor type requiring continuous application of a control signal using semiconductor devices only, e.g. single switched pulse inverters in a bridge configuration
    • H02M7/53871—Conversion of dc power input into ac power output without possibility of reversal by static converters using discharge tubes with control electrode or semiconductor devices with control electrode using devices of a triode or transistor type requiring continuous application of a control signal using semiconductor devices only, e.g. single switched pulse inverters in a bridge configuration with automatic control of output voltage or current

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Abstract

The invention relates to the technical field of harmonic analysis, harmonic suppression and modulation of a converter, and particularly discloses a harmonic group online suppression method and system of a single-phase cascaded H-bridge converter. The method mainly aims at a single-phase cascade H-bridge converter, reveals the characteristics of a harmonic group at the low frequency multiplication position of a carrier, formulates a harmonic group inhibition strategy based on a harmonic vector relation graph between modules, and further designs a harmonic group inhibition control method based on a static coordinate system. The harmonic group suppression system comprises a harmonic voltage acquisition module, a harmonic phase angle difference acquisition module and a carrier phase angle adjusting module. The harmonic group online inhibition strategy formulated by the invention can effectively inhibit the AC side voltage harmonic group of the single-phase cascaded H-bridge converter, and can be applied to analyzing and solving the problem of harmonic instability of the single-phase cascaded H-bridge converter.

Description

Harmonic group online suppression method and system of single-phase cascade H-bridge converter
Technical Field
The invention relates to the technical field of harmonic analysis, harmonic suppression and modulation of a converter, in particular to an online harmonic group suppression method of a single-phase cascaded H-bridge converter based on a harmonic domain mathematical model.
Background
The single-phase cascade H-bridge converter (CHBC) has the advantages of good output waveform, low harmonic content, easy expansion and capacity increase of modular design, access to multiple paths of different loads, flexible control and the like. In recent years, the method has been applied to the fields of new energy grid connection, electric locomotive traction systems, Static Synchronous compensators (STATCOM), and the like. A Carrier Phase Shifting Modulation (CPS-PWM) is the most widely applied Modulation method of the cascaded H-bridge converter, and is also the key to the high-quality output voltage and current. CPS-PWM effectively reduces harmonic distortion of the CHBC output voltage current, and enables the harmonic to be mainly concentrated at the high frequency multiplication of the carrier frequency. In the actual operation process, the modulation signal and the voltage imbalance of the direct-current side capacitor caused by the power difference between the modules cause that the cascaded H-bridge converter cannot reach a completely ideal operation state, and low frequency multiplication harmonic of carrier frequency can be caused. Harmonic resonance is easily caused when the higher harmonic frequency is the same as the resonance frequency of the system, and the phenomenon is particularly obvious in a train traction transmission system. The train interacts with a power electronic transformer based on the CHBC as an excitation source of high-frequency resonance, and a resonance band consisting of a main resonance point and a plurality of resonance points is generated in a traction power supply system. Harmonic resonance can cause resonance overvoltage, increase loss, accelerate equipment aging, cause equipment failure and damage safe and stable operation of a system. Therefore, the safe and stable operation of the system is ensured, and the suppression of the harmonic group at the carrier frequency multiplication is very necessary.
At present, the research on the suppression of harmonic group at the Carrier low-frequency multiplication of the CHBC at home and abroad mainly focuses on the Carrier Phase shift Modulation strategy (va.ps-PWM) based on a Variable Phase shift Angle. The method is used for off-line adjustment of the module carrier phase shift angle, the acquisition of a new phase shift angle depends on the solution of a large number of inverse trigonometric functions, and the method is not suitable for cascaded H-bridge converters of a large number of module units and cannot be suitable for all operating conditions. Therefore, the suppression of the ac side harmonic group of the single-phase cascaded H-bridge converter needs to be further studied.
Disclosure of Invention
Aiming at the defects in the prior art, the invention provides a harmonic group online suppression strategy of a single-phase cascaded H-bridge converter and a control system for harmonic group suppression.
In order to achieve the purpose, the technical scheme of the invention is as follows:
the online suppression method for the harmonic group of the single-phase cascade H-bridge converter comprises the following steps:
step 1: the central frequency required to be suppressed in the extraction of the total voltage of the single-phase cascaded H-bridge converter is 2m omegacHarmonic group h ofmAnd a center frequency of 2m omega in each corresponding H-bridge modulecHarmonic group of
Figure BDA0003617920420000021
Where m is the index variable of the carrier, ωcIs the carrier angular frequency;
step 2: harmonic group determination
Figure BDA0003617920420000022
Sum of corresponding sets of remaining harmonics
Figure BDA0003617920420000023
Phase angle difference of
Figure BDA0003617920420000024
Figure BDA0003617920420000025
N is the total module number;
and 3, step 3: according to harmonic amplitude and said phase angle difference
Figure BDA0003617920420000026
Based on the static coordinate system, the carrier phase shift angle of each module is adjusted to obtain a new phase shift angle phi'iAnd harmonic suppression is realized.
Further, the step 1 specifically includes:
defining the alternating current outlet voltage u of the ith H-bridge moduleabiIn the middle by 2m omegacA harmonic group of central angular frequency of
Figure BDA0003617920420000027
It is expressed in a double fourier form as:
Figure BDA0003617920420000028
Figure BDA0003617920420000029
Figure BDA00036179204200000210
Figure BDA00036179204200000211
where m is the index variable of the carrier, ω0Is the fundamental angular frequency;
Figure BDA00036179204200000212
phi and phiiRespectively a modulation wave initial phase angle and a carrier phase shift angle;
Figure BDA00036179204200000213
as a harmonic group
Figure BDA00036179204200000214
The initial phase angle of (a);
Figure BDA00036179204200000215
is a disturbance variable;
Figure BDA00036179204200000216
as harmonic envelope, i.e. as disturbance variable
Figure BDA00036179204200000217
Absolute value of (d); u. ofdciAnd MiThe voltage and the modulation degree of a direct current capacitor of the ith H-bridge module are respectively;
Figure BDA00036179204200000218
to be concerned with disturbance variable
Figure BDA00036179204200000219
A function of when
Figure BDA00036179204200000220
When the temperature of the water is higher than the set temperature,
Figure BDA00036179204200000221
otherwise
Figure BDA00036179204200000222
According to the series relation of all H-bridge modules in the cascaded H-bridge converter, the converter outputs total AC output voltage uabIn the middle by 2m omegacThe whole set of harmonics h being the centre frequencymAnd amplitude H thereofmExpressed as:
Figure BDA00036179204200000223
Figure BDA00036179204200000224
further, the step 2 specifically includes:
for N module cascade H-bridge converters, the ith module is taken as a reference to define
Figure BDA00036179204200000225
Is the sum of the harmonics of the other modules except the ith H-bridge module:
Figure BDA0003617920420000031
wherein k is the kth H-bridge module, k is 1,2, …, N, k is not equal to i;
Figure BDA0003617920420000032
and with
Figure BDA0003617920420000033
Are harmonics respectively
Figure BDA0003617920420000034
Amplitude and phase angle of (c):
Figure BDA0003617920420000035
in the formula (I), the compound is shown in the specification,
Figure BDA0003617920420000036
disturbance variables of harmonic groups in the kth module;
Figure BDA0003617920420000037
and
Figure BDA0003617920420000038
respectively disturbance variables x of harmonic group in the x-th module and the y-th module, wherein y belongs to k, and x is not equal to y; phi is a unit ofxPhi and phiyCarrier phase shift angles of the x-th module and the y-th module respectively;
a harmonic group h is obtainedmAmplitude of (H)mThe expression of (a) is:
Figure BDA0003617920420000039
when equations (5) to (9) are combined, equation (9) is rewritten as:
Figure BDA00036179204200000310
in the formula (I), the compound is shown in the specification,
Figure BDA00036179204200000311
as a harmonic group
Figure BDA00036179204200000312
The phase angle difference between the two phases is different,
Figure BDA00036179204200000313
furthermore, in the step 3, a new phase shift angle phi 'is obtained'iThe method specifically comprises the following steps:
grouping harmonics of H-bridge modules
Figure BDA00036179204200000314
Expressed in the stationary coordinate system as:
Figure BDA00036179204200000315
Figure BDA00036179204200000316
in the formula (I), the compound is shown in the specification,
Figure BDA00036179204200000317
and
Figure BDA00036179204200000318
harmonic groups respectively representing ith H-bridge module
Figure BDA00036179204200000319
The α and β axis components of (a);
then the total voltage harmonic H of the cascaded H-bridge convertermExpressed in the stationary coordinate system as:
Figure BDA00036179204200000320
in the formula (I), the compound is shown in the specification,
Figure BDA00036179204200000321
and
Figure BDA00036179204200000322
respectively representing the total AC output voltage u of the cascaded H-bridge converterabMedium harmonic group hmThe α and β axis components of (a);
Figure BDA00036179204200000323
and
Figure BDA00036179204200000324
respectively representing harmonic groups
Figure BDA00036179204200000325
The α and β axis components of (a);
definition fαβ(φi) About a phase shift angle phiiFunction of (c):
Figure BDA00036179204200000326
difference of phase angle
Figure BDA00036179204200000327
When approaching pi, can get:
fαβ(φi)→0 (15)
from equation (15), by making the function fαβ(φi) Approaching 0, i.e. effecting a phase angle difference
Figure BDA0003617920420000041
Approaches pi to suppress the harmonic group hm；
For function fαβ(φi) Make a reference to the phase shift angle phiiDerivative of (c):
Figure BDA0003617920420000042
from the derivative formula (16), in
Figure BDA0003617920420000043
And
Figure BDA0003617920420000044
within a region, function fαβ(φi) And phase shift angle phiiRespectively in direct proportion and inverse proportion;
thus, a phase shift angle adjustment expression for each H-bridge module is obtained:
Figure BDA0003617920420000045
Figure BDA0003617920420000046
in formula (II), phi'iAdjusting the phase shift angle for the ith H-bridge module; k is a radical ofpVAnd krVProportional resonance parameters are respectively provided; omegacVAnd omegarVRespectively, a cut-off frequency and a resonance frequency, and ωrVIs the even angular frequency; k isPRIs an expression of a PR controller; j ω, ω is the waveform angular frequency entering the PR controller; g is a radical of formulaαβ(φi) As a function of derivative (16):
Figure BDA0003617920420000047
Figure BDA0003617920420000048
a harmonic group online suppression system of a single-phase cascade H-bridge converter comprises the following analysis modules:
the harmonic voltage acquisition module is used for extracting the central frequency to be suppressed from the total voltage of the single-phase cascaded H-bridge converter to be 2m omegacGroup h of harmonics ofmAnd each corresponding HCenter frequency of 2m omega in bridge modulecOf harmonic wave group
Figure BDA0003617920420000049
A harmonic phase angle difference acquisition module for extracting harmonic group of each module
Figure BDA00036179204200000410
Sum of corresponding sets of remaining harmonics
Figure BDA00036179204200000411
Angle (d) of
Figure BDA00036179204200000412
A carrier phase shift angle adjusting module for adjusting the carrier phase shift angle of each module to obtain a new phase shift angle phi'iTo realize harmonic suppression
Compared with the prior art, the invention has the beneficial effects that: the invention sets an online suppression strategy of an alternating-current side carrier low-frequency-multiplication harmonic group of the single-phase cascaded H-bridge converter, designs a harmonic suppression control system, can effectively suppress the harmonic near the carrier low-frequency multiplication caused by unbalanced operation of a module, and can be applied to analyzing and solving the problem of harmonic instability of the single-phase cascaded H-bridge converter.
Drawings
FIG. 1 is a flow chart of the CHBC AC-side harmonic group suppression strategy of the present invention;
FIG. 2 is a CHBC topology of the present invention;
FIG. 3 is a block diagram of harmonic bank rejection control according to an embodiment of the present invention;
fig. 4 shows the results of harmonic analysis before and after harmonic group suppression.
Detailed Description
The present invention will be described in further detail with reference to the accompanying drawings and detailed description.
Example (b):
step 1: harmonic group voltage h required to be suppressed for extracting CHBCmAnd corresponding H-bridge modulesHarmonic group voltage
Figure BDA0003617920420000051
In step 1, obtaining the harmonic group voltage h to be suppressed by the CHBC through a double Fourier analysis methodmAnd corresponding harmonic group voltage of each H-bridge module
Figure BDA0003617920420000052
Figure BDA0003617920420000053
In the formula, m and n are index variables of a carrier wave and a baseband respectively; phi is aiThe carrier phase shift angle of the ith module; omegacIs the carrier angular frequency;
Figure BDA0003617920420000054
are respectively a harmonic group
Figure BDA0003617920420000055
The initial phase angle, disturbance variable and envelope curve of (1) can be respectively expressed as
Figure BDA0003617920420000056
Figure BDA0003617920420000057
Figure BDA0003617920420000058
In the formula udciAnd MiThe voltage and the modulation degree of the direct current capacitor of the ith module are respectively;
Figure BDA0003617920420000059
is the initial phase angle of the modulation wave; omega0Is the fundamental angular frequency;
Figure BDA00036179204200000510
to be concerned with disturbance variable
Figure BDA00036179204200000511
A function of when
Figure BDA00036179204200000512
When the utility model is used, the water is discharged,
Figure BDA00036179204200000513
otherwise
Figure BDA00036179204200000514
Step 2: solving the total voltage harmonic group h of the CHBC needing to be inhibitedmAmplitude of (H)mExtracting harmonic group of each module
Figure BDA00036179204200000515
Sum of corresponding sets of remaining harmonics
Figure BDA00036179204200000516
Angle (d) of
Figure BDA00036179204200000517
According to the series relation of all H-bridge modules in the cascaded H-bridge converter, the converter outputs total AC output voltage uabIn the middle by 2m omegacThe whole set of harmonics h being the centre frequencymAnd amplitude H thereofmCan be expressed as:
Figure BDA0003617920420000061
Figure BDA0003617920420000062
in step 2: for a cascade of N modules with an H-bridge converter,define with the i-th module as reference
Figure BDA0003617920420000063
The sum of the harmonics of the other modules except the ith module:
Figure BDA0003617920420000064
wherein k is the kth H-bridge module, (k ≠ 1,2, …, N, k ≠ i);
Figure BDA0003617920420000065
and
Figure BDA0003617920420000066
are harmonics, respectively
Figure BDA0003617920420000067
Amplitude and phase angle of (c):
Figure BDA0003617920420000068
the harmonic h can be obtainedmAmplitude of (H)mExpression (c):
Figure BDA0003617920420000069
when equations (25) to (29) are combined, equation (29) can be rewritten as:
Figure BDA00036179204200000610
in the formula (I), the compound is shown in the specification,
Figure BDA00036179204200000611
is a harmonic wave
Figure BDA00036179204200000612
The phase angle difference between the two phases is small,
Figure BDA00036179204200000613
from the formula (30), hmHarmonic amplitude H ofmDependent on phase angle difference
Figure BDA00036179204200000614
According to the expression of the harmonic phase angle, the harmonic suppression can be realized by adjusting the phase shift angle of each module. Following phase angle difference
Figure BDA00036179204200000615
Approach to pi, harmonic hmAnd continuously reducing, and when the phase angle difference is equal to pi, the harmonic reaches the minimum value.
And 3, step 3: adjusting the carrier phase shift angle of each module to obtain a new phase shift angle phi'i。
In step 3, the adjusted carrier phase shift angle phi is obtained based on the stationary coordinate systemi′。
The phase angle difference acquisition method based on the static coordinate system comprises the following steps:
harmonic of H-bridge module
Figure BDA00036179204200000616
Expressed in the stationary coordinate system as:
Figure BDA00036179204200000617
Figure BDA0003617920420000071
Figure BDA0003617920420000072
then the total voltage harmonic H of the cascaded H-bridge convertermIn the stationary coordinate system can be expressed as:
Figure BDA0003617920420000073
definition fαβ(φi) To relate to a phase shift angle phiiFunction of (c):
Figure BDA0003617920420000074
phase angle difference
Figure BDA0003617920420000075
When approaching pi, we can get:
fαβ(φi)→0 (36)
as can be seen from equation (36), by making the function fαβ(φi) Approach to 0, the phase angle difference can be realized
Figure BDA0003617920420000076
Approaches pi to suppress harmonic wave hm。
Phase angle of combination
Figure BDA0003617920420000077
Expression, for function fαβ(φi) Make a reference to the phase shift angle phiiDerivative of (a):
Figure BDA0003617920420000078
according to the derivative formula (37), in
Figure BDA0003617920420000079
And with
Figure BDA00036179204200000710
Within a region, function fαβ(φi) And phase shift angle phiiRespectively in a direct proportion and an inverse proportion.
Thus, a phase angle adjustment expression for each H-bridge module is obtained:
Figure BDA00036179204200000711
Figure BDA00036179204200000712
in formula (II), phi'iAdjusting the phase shift angle for the ith H-bridge module; k is a radical of formulapVAnd k isrVProportional resonance parameters are respectively provided; omegacVAnd omegarVCut-off frequency and resonant frequency, omega, respectivelyrVIs the even angular frequency; gαβ(φi) As a function of derivative (38):
Figure BDA00036179204200000713
Figure BDA00036179204200000714
in formula (II), phi'iAdjusting the phase shift angle for the ith H-bridge module; (ii) a k is a radical ofpVAnd k isrVProportional resonance parameters are respectively provided; omegacVAnd omegarVCut-off frequency and resonance frequency, ω, respectivelyrVIs an even angular frequency.
The online suppression method for the harmonic group of the single-phase cascaded H-bridge converter further includes adjusting the carrier phase shift angle phi 'of each module'iThe method is applied to carrier phase shift modulation, and can realize the suppression of harmonic groups at low frequency multiplication of the carrier.
Fig. 3 is a block diagram illustrating harmonic group suppression control based on a stationary coordinate system.
The harmonic group online suppression system of the single-phase cascade H-bridge converter comprises the following analysis modules:
the harmonic voltage acquisition module is used for extracting the central frequency to be suppressed from the total voltage of the single-phase cascaded H-bridge converter to be 2m omegacHarmonic group h ofmAnd a center frequency of 2m omega in each corresponding H-bridge modulecHarmonic group of
Figure BDA0003617920420000081
A harmonic phase angle difference acquisition module for extracting harmonic group of each module
Figure BDA0003617920420000082
Sum of corresponding sets of remaining harmonics
Figure BDA0003617920420000083
Angle (d) of
Figure BDA0003617920420000084
A carrier phase shift angle adjusting module for adjusting the carrier phase shift angle of each module to obtain a new phase shift angle phi'i。
Examples
The six-module cascade H-bridge inverter is taken as an example for simulation verification, the carrier frequency of the six-module cascade H-bridge inverter is 500Hz, and a harmonic group with 1000Hz as the center frequency in the alternating-current side voltage of the CHBC is suppressed. And respectively carrying out comparative analysis on CHBC alternating-current side voltage harmonic frequency spectrums obtained before and after the harmonic group suppression so as to prove that the harmonic group suppression strategy can effectively suppress the harmonic group at the low frequency multiplication position of the CHBC carrier. By comparing the harmonic groups with the center frequency of 1000Hz in the voltage harmonic spectrum in fig. 4, it can be proved that the harmonic group suppression method can effectively suppress the harmonic groups at the low frequency multiplication of the carrier of the CHBC alternating-current side voltage.

Claims (5)

1. The online suppression method for the harmonic group of the single-phase cascade H-bridge converter is characterized by comprising the following steps of:
step 1: the central frequency required to be suppressed in the extraction of the total voltage of the single-phase cascaded H-bridge converter is 2m omegacGroup h of harmonics ofmAnd a center frequency of 2m omega in each of the corresponding H-bridge modulescOf harmonic wave group
Figure FDA0003617920410000011
Where m is the index variable of the carrier, ωcIs the carrier angular frequency;
step 2: harmonic group determination
Figure FDA0003617920410000012
Sum of corresponding sets of remaining harmonics
Figure FDA0003617920410000013
Phase angle difference of
Figure FDA0003617920410000014
Figure FDA0003617920410000015
N is the total module number;
and 3, step 3: according to harmonic amplitude and said phase angle difference
Figure FDA0003617920410000016
Based on the static coordinate system, the carrier phase shift angle of each module is adjusted to obtain a new phase shift angle phi'iAnd harmonic suppression is realized.
2. The method for online suppression of the harmonic group of the single-phase cascaded H-bridge converter according to claim 1, wherein the step 1 specifically comprises:
defining the alternating current outlet voltage u of the ith H-bridge moduleabiIn the middle by 2m omegacA harmonic group at a central angular frequency of
Figure FDA0003617920410000017
It is expressed in double fourier form as:
Figure FDA0003617920410000018
Figure FDA0003617920410000019
Figure FDA00036179204100000110
Figure FDA00036179204100000111
where m is the index variable of the carrier, ω0Is the fundamental angular frequency;
Figure FDA00036179204100000112
phi and phiiRespectively a modulation wave initial phase angle and a carrier phase shift angle;
Figure FDA00036179204100000113
as a group of harmonics
Figure FDA00036179204100000114
The initial phase angle of (a);
Figure FDA00036179204100000115
is a disturbance variable;
Figure FDA00036179204100000116
as harmonic envelope, i.e. as disturbance variable
Figure FDA00036179204100000117
The absolute value of (a); u. udciAnd MiThe voltage and the modulation degree of a direct current capacitor of the ith H-bridge module are respectively;
Figure FDA00036179204100000118
to be concerned with disturbance variable
Figure FDA00036179204100000119
Is disclosedNumber when counting
Figure FDA00036179204100000120
When the utility model is used, the water is discharged,
Figure FDA00036179204100000121
otherwise
Figure FDA00036179204100000122
According to the series connection relation of all H-bridge modules in the cascade H-bridge converter, the total AC output voltage u of the converter isabIn the middle by 2m omegacThe whole set of harmonics h being the centre frequencymAnd amplitude H thereofmExpressed as:
Figure FDA00036179204100000123
Figure FDA00036179204100000124
3. the method for online suppression of the harmonic group of the single-phase cascaded H-bridge converter according to claim 2, wherein the step 2 specifically comprises:
for N module cascade H-bridge converters, the ith module is taken as a reference to define
Figure FDA0003617920410000021
The sum of the harmonics of the other modules except the ith H-bridge module:
Figure FDA0003617920410000022
wherein k is the kth H-bridge module, k is 1,2, …, N, k is not equal to i;
Figure FDA0003617920410000023
and
Figure FDA0003617920410000024
are harmonics, respectively
Figure FDA0003617920410000025
Amplitude and phase angle of (c):
Figure FDA0003617920410000026
in the formula (I), the compound is shown in the specification,
Figure FDA0003617920410000027
disturbance variables for the harmonic group in the kth module;
Figure FDA0003617920410000028
and with
Figure FDA0003617920410000029
Respectively representing harmonic group disturbance variables x in the x-th module and the y-th module, wherein y belongs to k, and x is not equal to y; phi is a unit ofxPhi and phiyCarrier phase shift angles of the x-th module and the y-th module respectively;
a harmonic group h is obtainedmAmplitude of (H)mThe expression of (a) is:
Figure FDA00036179204100000210
when equations (5) to (9) are combined, equation (9) is rewritten as:
Figure FDA00036179204100000211
in the formula (I), the compound is shown in the specification,
Figure FDA00036179204100000212
as a harmonic group
Figure FDA00036179204100000213
Figure FDA00036179204100000214
The phase angle difference between the two phases is different,
Figure FDA00036179204100000215
4. the method for online suppression of the harmonic group of the single-phase cascaded H-bridge converter according to claim 3, wherein in the step 3, a new phase shift angle phi 'is obtained'iThe method comprises the following specific steps:
grouping harmonics of H-bridge modules
Figure FDA00036179204100000216
Expressed in the stationary coordinate system as:
Figure FDA00036179204100000217
Figure FDA00036179204100000218
in the formula (I), the compound is shown in the specification,
Figure FDA00036179204100000219
and
Figure FDA00036179204100000220
harmonic groups respectively representing ith H-bridge module
Figure FDA00036179204100000221
The α and β axis components of (a);
then the total voltage harmonic H of the cascaded H-bridge convertermExpressed in the stationary coordinate system as:
Figure FDA00036179204100000222
in the formula (I), the compound is shown in the specification,
Figure FDA00036179204100000223
and
Figure FDA00036179204100000224
respectively representing the total AC output voltage u of the cascaded H-bridge converterabMedium harmonic group hmThe α and β axis components of (a);
Figure FDA00036179204100000225
and
Figure FDA00036179204100000226
respectively representing harmonic groups
Figure FDA00036179204100000227
The α and β axis components of (a);
definition fαβ(φi) To relate to a phase shift angle phiiFunction of (c):
Figure FDA0003617920410000031
difference of phase angle
Figure FDA0003617920410000032
When approaching pi, can get:
fαβ(φi)→0 (15)
from equation (15), by making the function fαβ(φi) Approaching 0, i.e. realizing the phase angle difference
Figure FDA0003617920410000033
Approaches to piAnd further suppress the harmonic group hm；
For function fαβ(φi) Make a reference to the phase shift angle phiiDerivative of (a):
Figure FDA0003617920410000034
from the derivative formula (16), in
Figure FDA0003617920410000035
And
Figure FDA0003617920410000036
within a region, function fαβ(φi) Angle of phase shift phiiRespectively in direct proportion and inverse proportion;
thus, a phase shift angle adjustment expression for each H-bridge module is obtained:
Figure FDA0003617920410000037
Figure FDA0003617920410000038
in the formula phi'iAdjusting the phase shift angle for the ith H-bridge module; k is a radical ofpVAnd krVProportional resonance parameters are respectively; omegacVAnd omegarVRespectively, a cut-off frequency and a resonance frequency, and ωrVIs the even angular frequency; kPRIs an expression of a PR controller; j ω, ω is the waveform angular frequency entering the PR controller; gαβ(φi) As a function of derivative (16):
Figure FDA0003617920410000039
Figure FDA00036179204100000310
5. the harmonic group online suppression system of the single-phase cascade H-bridge converter is characterized by comprising the following analysis modules:
a harmonic voltage acquisition module for extracting the central frequency to be suppressed of 2m omega in the total voltage of the single-phase cascade H-bridge convertercGroup h of harmonics ofmAnd a center frequency of 2m omega in each of the corresponding H-bridge modulescOf harmonic wave group
Figure FDA00036179204100000311
A harmonic phase angle difference acquisition module for extracting harmonic group of each module
Figure FDA0003617920410000041
Sum of corresponding sets of remaining harmonics
Figure FDA0003617920410000042
Angle (d) of
Figure FDA0003617920410000043
A carrier phase shift angle adjusting module for adjusting the carrier phase shift angle of each module to obtain a new phase shift angle phi'iAnd harmonic suppression is realized.
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