CN115473226A - Closed-loop equation-based VSC high-frequency impedance matrix modeling method and system - Google Patents

Closed-loop equation-based VSC high-frequency impedance matrix modeling method and system Download PDF

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CN115473226A
CN115473226A CN202211361499.XA CN202211361499A CN115473226A CN 115473226 A CN115473226 A CN 115473226A CN 202211361499 A CN202211361499 A CN 202211361499A CN 115473226 A CN115473226 A CN 115473226A
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frequency
voltage
current
component
vsc
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CN115473226B (en
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陈波
熊华强
苏永春
潘本仁
高波
程思萌
陶翔
汪硕承
刘柳
周煦光
戈田平
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State Grid Corp of China SGCC
Electric Power Research Institute of State Grid Jiangxi Electric Power Co Ltd
East China Jiaotong University
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State Grid Corp of China SGCC
Electric Power Research Institute of State Grid Jiangxi Electric Power Co Ltd
East China Jiaotong University
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    • 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
    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F17/00—Digital computing or data processing equipment or methods, specially adapted for specific functions
    • G06F17/10—Complex mathematical operations
    • G06F17/11—Complex mathematical operations for solving equations, e.g. nonlinear equations, general mathematical optimization problems
    • G06F17/12—Simultaneous equations, e.g. systems of linear equations
    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F17/00—Digital computing or data processing equipment or methods, specially adapted for specific functions
    • G06F17/10—Complex mathematical operations
    • G06F17/15—Correlation function computation including computation of convolution operations
    • G06F17/156—Correlation function computation including computation of convolution operations using a domain transform, e.g. Fourier transform, polynomial transform, number theoretic transform
    • 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
    • H02J3/24—Arrangements for preventing or reducing oscillations of power in networks
    • H02J3/241—The oscillation concerning frequency
    • 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
    • H02J3/38—Arrangements for parallely feeding a single network by two or more generators, converters or transformers
    • H02J3/381—Dispersed generators
    • 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
    • H02J2203/00—Indexing scheme relating to details of circuit arrangements for AC mains or AC distribution networks
    • H02J2203/20—Simulating, e g planning, reliability check, modelling or computer assisted design [CAD]
    • 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
    • H02J2300/00—Systems for supplying or distributing electric power characterised by decentralized, dispersed, or local generation
    • H02J2300/20—The dispersed energy generation being of renewable origin

Abstract

The invention discloses a closed-loop equation-based VSC high-frequency impedance matrix modeling method and system, wherein the method comprises the following steps: establishing an expression of voltage and current; calculating the active power and the reactive power of an external control loop in the VSC model so as to obtain the reference current of an internal control loop; calculating a high-frequency component in the current control output signal through a control link, and calculating to obtain a high-frequency component in the output voltage of the VSC alternating current measurement port; establishing a relational expression between the voltage of the VSC alternating side and the voltage and the current of the PCC through a front-end filter, and establishing an equation between the voltage and the current of the PCC; and solving the equation to obtain the relation between the voltage and the current at the PCC, and solving to obtain an impedance matrix including the coupling. The coupling impedance matrix of the VSC under high frequency can be obtained, and the coupling impedance matrix can be used for analyzing the potential high frequency oscillation risk when the VSC equipment is connected into a power grid.

Description

Closed-loop equation-based VSC high-frequency impedance matrix modeling method and system
Technical Field
The invention belongs to the technical field of high-frequency oscillation analysis of voltage source converters, and particularly relates to a VSC high-frequency impedance matrix modeling method and system based on a closed-loop equation.
Background
With the rapid development of new energy power generation and the demand of modern power transmission, voltage Source Converter (VSC) based devices have been widely accepted by the power industry and have been widely applied in power systems connecting modern loads and renewable energy sources. However, due to the nonlinear v-i characteristic of the VSC equipment, the problem of high-frequency oscillation of the power system can be caused under the condition of grid connection, and the safety and stability of the power system are further affected.
Disclosure of Invention
The invention provides a closed-loop equation-based VSC high-frequency impedance matrix modeling method and system, which are used for solving the technical problem of high-frequency oscillation risk caused by the nonlinear characteristics of VSC.
In a first aspect, the invention provides a closed-loop equation-based VSC high-frequency impedance matrix modeling method, which includes: step 1, setting high-frequency components contained in the voltage and the current of a PCC, and establishing an expression of the voltage and the current of the PCC; step 2, calculating active power and reactive power of an external control loop of the VSC model according to the voltage and current at the PCC, and calculating reference current of an internal control loop of the VSC model according to the active power and the reactive power; step 3, calculating to obtain an inner ring current control output current according to the reference current and an inner ring control transfer function, and calculating to obtain the output voltage of the VSC alternating side; step 4, establishing a relational expression of the VSC alternating-current side voltage and the current at the PCC through a front-end filter, and establishing a closed-loop equation containing the relation between the voltage and the current at the PCC according to the relational expression; and 5, solving the closed-loop equation to obtain the relation between the voltage and the current at the PCC, and solving to obtain an impedance matrix including the coupling.
In a second aspect, the invention provides a closed-loop equation-based VSC high-frequency impedance matrix modeling system, including: the first establishing module is configured to set that the voltage and the current at the PCC contain high-frequency components and establish an expression of the voltage and the current at the PCC; the first calculation module is configured to calculate active power and reactive power of an external control loop of the VSC model according to the voltage and current at the PCC, and calculate reference current of an internal control loop of the VSC model according to the active power and the reactive power; the second calculation module is configured to calculate to obtain an inner-loop current control output current according to the reference current and an inner-loop control transfer function, and calculate to obtain a VSC alternating-current side output voltage; the second establishing module is configured to establish a relational expression between the voltage of the VSC alternating-current side and the voltage and the current at the PCC through a front-end filter, and establish a closed-loop equation containing the relation between the voltage and the current at the PCC according to the relational expression; and the solving module is configured to solve the closed-loop equation to obtain the relation between the voltage and the current at the PCC and solve to obtain an impedance matrix including the coupling.
In a third aspect, an electronic device is provided, which includes: at least one processor, and a memory communicatively coupled to the at least one processor, wherein the memory stores instructions executable by the at least one processor, the instructions being executable by the at least one processor to enable the at least one processor to perform the steps of a closed loop equation based VSC high frequency impedance matrix modeling method according to any one embodiment of the present invention.
In a fourth aspect, the present invention also provides a computer readable storage medium having stored thereon a computer program, which program instructions, when executed by a processor, cause the processor to perform the steps of a closed-loop equation based VSC high frequency impedance matrix modeling method according to any one of the embodiments of the present invention.
According to the VSC high-frequency impedance matrix modeling method and system based on the closed-loop equation, the high-frequency component transmission relation of different links in the VSC is established, the closed-loop equation containing the voltage and current high-frequency component of the grid-connected side of the VSC is obtained through interfaces among the different links, the coupled impedance matrix of the VSC under the high frequency can be obtained through solving the equation, and the coupled impedance matrix can be used for analyzing the potential high-frequency oscillation risk when VSC equipment is connected into a power grid.
Drawings
In order to more clearly illustrate the technical solutions of the embodiments of the present invention, the drawings required to be used in the description of the embodiments are briefly introduced below, and it is obvious that the drawings in the description below are some embodiments of the present invention, and it is obvious for those skilled in the art to obtain other drawings without creative efforts.
Fig. 1 is a flowchart of a VSC high-frequency impedance matrix modeling method based on a closed-loop equation according to an embodiment of the present invention;
fig. 2 is a structural block diagram of a closed-loop equation-based VSC high-frequency impedance matrix modeling system according to an embodiment of the present invention;
fig. 3 is a schematic structural diagram of an electronic device according to an embodiment of the present invention.
Detailed Description
In order to make the objects, technical solutions and advantages of the embodiments of the present invention clearer, 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 some, but not all, embodiments of the present invention. All other embodiments, which can be obtained by a person skilled in the art without inventive step based on the embodiments of the present invention, are within the scope of protection of the present invention.
Referring to fig. 1, a flowchart of a closed-loop equation-based VSC high-frequency impedance matrix modeling method according to the present application is shown.
As shown in fig. 1, a closed-loop equation-based VSC high-frequency impedance matrix modeling method specifically includes the following steps:
step 1, setting high-frequency components contained in the voltage and the current at the PCC, and establishing an expression of the voltage and the current at the PCC.
In this embodiment, assuming that a high frequency component is included in a voltage and a current at a PCC (Point of common coupling), the voltage and the current at the PCC may be expressed as:
Figure 736881DEST_PATH_IMAGE001
，（1）
in the formula (I), the compound is shown in the specification,
Figure 622361DEST_PATH_IMAGE002
in order to be the PCC point voltage,
Figure 411325DEST_PATH_IMAGE003
is PThe fundamental frequency component of the voltage at the point CC,
Figure 247694DEST_PATH_IMAGE004
for the angular frequency of the fundamental frequency,
Figure 20478DEST_PATH_IMAGE005
as a matter of time, the time is,
Figure 561181DEST_PATH_IMAGE006
in the order of the fundamental frequency voltage angle,
Figure 860444DEST_PATH_IMAGE007
is a positive sequence high-frequency voltage component voltage,
Figure 726769DEST_PATH_IMAGE008
for positive sequence high frequency voltage component angular frequencies,
Figure 596636DEST_PATH_IMAGE009
the phase angle of the high-frequency voltage component is a positive sequence,
Figure 206609DEST_PATH_IMAGE010
is a negative sequence high-frequency voltage component voltage,
Figure 861844DEST_PATH_IMAGE012
is the negative sequence high frequency voltage component angular frequency,
Figure 899070DEST_PATH_IMAGE013
is a negative sequence high-frequency voltage component voltage phase angle,
Figure 380867DEST_PATH_IMAGE014
is the current of the PCC point and is,
Figure 404317DEST_PATH_IMAGE015
is the fundamental frequency component of the PCC point current,
Figure 287960DEST_PATH_IMAGE016
is the phase angle of the current component of the fundamental frequency,
Figure 886300DEST_PATH_IMAGE017
in order to be a positive-sequence high-frequency current component,
Figure 589814DEST_PATH_IMAGE018
is a positive sequence high frequency current component phase angle,
Figure 541589DEST_PATH_IMAGE019
is a negative-sequence high-frequency current component,
Figure 155105DEST_PATH_IMAGE020
is a negative sequence high-frequency current component phase angle;
since the VSC control inner loop control is designed in dq coordinates of synchronous rotation, the voltage and current need to be converted into dq coordinates, as shown in equation (2):
Figure 799713DEST_PATH_IMAGE021
，（2）
wherein the content of the first and second substances,
Figure 990522DEST_PATH_IMAGE022
，
Figure 369158DEST_PATH_IMAGE023
，
Figure 696234DEST_PATH_IMAGE024
，
Figure 387109DEST_PATH_IMAGE025
，
Figure 65215DEST_PATH_IMAGE026
、
Figure 624373DEST_PATH_IMAGE027
、
Figure 196168DEST_PATH_IMAGE028
respectively are A phase voltage, B phase voltage and C phase voltage,
Figure 651420DEST_PATH_IMAGE029
、
Figure 82402DEST_PATH_IMAGE030
、
Figure 789458DEST_PATH_IMAGE031
respectively an A-phase current, a B-phase current and a C-phase current,
Figure 622285DEST_PATH_IMAGE032
、
Figure 248438DEST_PATH_IMAGE033
respectively a d-axis voltage and a q-axis voltage,
Figure 792814DEST_PATH_IMAGE034
、
Figure 428195DEST_PATH_IMAGE035
d-axis current and q-axis current respectively;
wherein the content of the first and second substances,
Figure 725315DEST_PATH_IMAGE036
，（3）
the expression for the voltage in dq coordinates can be found as:
Figure 787949DEST_PATH_IMAGE037
，（4）
in the formula (I), the compound is shown in the specification,
Figure 927943DEST_PATH_IMAGE038
is the d-axis voltage value on the grid side,
Figure 491649DEST_PATH_IMAGE039
is the q-axis voltage value of the grid side;
the expression for the current in dq coordinates is:
Figure 33488DEST_PATH_IMAGE040
，（5）
in the formula (I), the compound is shown in the specification,
Figure 267024DEST_PATH_IMAGE041
is the d-axis current value on the grid side,
Figure 504101DEST_PATH_IMAGE042
the q-axis current value on the grid side.
And 2, calculating active power and reactive power of an external control loop of the VSC model according to the voltage and the current at the PCC, and calculating reference current of an internal control loop of the VSC model according to the active power and the reactive power.
In this embodiment, the expression for calculating the active power of the external control loop of the VSC model from the voltage and current at the PCC is:
Figure 746864DEST_PATH_IMAGE043
，（6）
in the formula (I), the compound is shown in the specification,
Figure 877631DEST_PATH_IMAGE038
is the d-axis voltage value on the grid side,
Figure 176675DEST_PATH_IMAGE039
is the value of the q-axis voltage on the grid side,
Figure 25682DEST_PATH_IMAGE041
is the d-axis current value on the grid side,
Figure 681922DEST_PATH_IMAGE042
is the q-axis current value on the grid side,
Figure 932775DEST_PATH_IMAGE044
is a multiple of the positive sequence high frequency correlated component frequency to the fundamental frequency,
Figure 508113DEST_PATH_IMAGE045
is a negative sequence high-frequency phaseThe multiples of the off-component frequency versus the fundamental frequency,
Figure 234629DEST_PATH_IMAGE003
is the fundamental frequency component of the PCC point voltage,
Figure 553615DEST_PATH_IMAGE004
for the angular frequency of the fundamental frequency,
Figure 924554DEST_PATH_IMAGE005
as a matter of time, the time is,
Figure 546159DEST_PATH_IMAGE006
in the order of the fundamental frequency voltage angle,
Figure 369759DEST_PATH_IMAGE007
is a positive sequence high-frequency voltage component voltage,
Figure 492435DEST_PATH_IMAGE008
for positive sequence high frequency voltage component angular frequencies,
Figure 343979DEST_PATH_IMAGE009
is a positive sequence high frequency voltage component phase angle,
Figure 261119DEST_PATH_IMAGE010
is a negative sequence high-frequency voltage component voltage,
Figure 572015DEST_PATH_IMAGE012
is the negative sequence high frequency voltage component angular frequency,
Figure 373749DEST_PATH_IMAGE013
is a negative sequence high-frequency voltage component voltage phase angle,
Figure 188121DEST_PATH_IMAGE015
is the fundamental frequency component of the PCC point current,
Figure 931955DEST_PATH_IMAGE016
is the phase angle of the current component of the fundamental frequency,
Figure 464568DEST_PATH_IMAGE017
in order to be a positive-sequence high-frequency current component,
Figure 194626DEST_PATH_IMAGE018
is a positive sequence high frequency current component phase angle,
Figure 738871DEST_PATH_IMAGE019
is a negative-sequence high-frequency current component,
Figure 528973DEST_PATH_IMAGE020
is a negative sequence high-frequency current component phase angle,
Figure 548881DEST_PATH_IMAGE046
is m times component voltage of positive sequence high-frequency voltage,
Figure 440221DEST_PATH_IMAGE047
is n times the fundamental frequency component of the PCC point current,
Figure 229185DEST_PATH_IMAGE048
is m times of the angular frequency of the component of the positive sequence high-frequency voltage,
Figure 65554DEST_PATH_IMAGE049
is m times component phase angle of positive sequence high-frequency voltage,
Figure 307180DEST_PATH_IMAGE050
is n times of the angular frequency of the component voltage of the negative sequence high-frequency voltage,
Figure 113461DEST_PATH_IMAGE051
is the n-times component phase angle of the fundamental frequency current;
the expression for calculating the reactive power of the outer control loop of the VSC model from the voltage and current at the PCC is:
Figure 412725DEST_PATH_IMAGE052
，（7）
specifically, the active power and the reactive power can be calculated through the outer loop control link to obtain the reference current signal of the inner loop current control link, as shown in formulas (8) and (9):
Figure 13470DEST_PATH_IMAGE053
，（8）
in the formula (I), the compound is shown in the specification,
Figure 273550DEST_PATH_IMAGE054
the high frequency component in the reference current of the d-axis of the inner loop control element,
Figure 493310DEST_PATH_IMAGE055
a transfer function for an outer loop control link;
Figure 522446DEST_PATH_IMAGE056
，（9）
in the formula (I), the compound is shown in the specification,
Figure 294093DEST_PATH_IMAGE057
the inner loop controls the high frequency components in the reference current of the q-axis of the link.
And 3, calculating to obtain an inner ring current control output current according to the reference current and the inner ring control transfer function, and calculating to obtain the output voltage of the VSC alternating side.
In this embodiment, by combining the current reference value output by the outer ring link and the inner ring control transfer function, the inner ring current control output signal can be calculated, and a signal of the VSC ac measurement output voltage is obtained, as shown in formula (10):
Figure 401989DEST_PATH_IMAGE058
，（10）
in the formula (I), the compound is shown in the specification,
Figure 815652DEST_PATH_IMAGE059
for the high frequency component of the VSC ac outlet side voltage,
Figure 433716DEST_PATH_IMAGE060
is 1.5 times of the sampling delay time,
Figure 782788DEST_PATH_IMAGE061
which represents a plurality of numbers, each of which represents a plurality of numbers,
Figure 486302DEST_PATH_IMAGE062
is a transfer function of the inner loop control link,
Figure 562711DEST_PATH_IMAGE063
the front-end LCL filter of the VSC is close to the side inductor of the inverter,
Figure 300860DEST_PATH_IMAGE064
the front LCL filter of the VSC is close to the inductance on the side of the power grid,
Figure 679889DEST_PATH_IMAGE004
is the angular frequency of the fundamental frequency and,
Figure 746065DEST_PATH_IMAGE005
as a matter of time, the time is,
Figure 501532DEST_PATH_IMAGE006
in the order of the fundamental frequency voltage angle,
Figure 94187DEST_PATH_IMAGE055
is a transfer function of the outer loop control element,
Figure 550443DEST_PATH_IMAGE008
for positive sequence high frequency voltage component angular frequencies,
Figure 228549DEST_PATH_IMAGE012
is the negative sequence high frequency voltage component angular frequency,
Figure 397494DEST_PATH_IMAGE015
for the fundamental frequency component of the PCC point current,
Figure 844655DEST_PATH_IMAGE017
in order to be a positive-sequence high-frequency current component,
Figure 565487DEST_PATH_IMAGE018
the phase angle of the high-frequency current component is positive sequence,
Figure 121102DEST_PATH_IMAGE019
is a negative-sequence high-frequency current component,
Figure 952792DEST_PATH_IMAGE020
is a negative sequence high frequency current component phase angle,
Figure 254460DEST_PATH_IMAGE065
is the fundamental frequency component of the PCC point voltage,
Figure 287138DEST_PATH_IMAGE046
is m times component voltage of positive sequence high-frequency voltage,
Figure 205416DEST_PATH_IMAGE047
is n times the fundamental frequency component of the PCC point current,
Figure 575217DEST_PATH_IMAGE048
is m times component angular frequency of the positive sequence high-frequency voltage,
Figure 888649DEST_PATH_IMAGE049
is the m-times component phase angle of the positive sequence high-frequency voltage,
Figure 951283DEST_PATH_IMAGE050
is the angular frequency of the n-fold component voltage of the negative sequence high-frequency voltage,
Figure 825698DEST_PATH_IMAGE051
is the phase angle of n-fold component of the fundamental current.
And 4, establishing a relational expression of the VSC alternating-current side voltage and the current at the PCC through a front-end filter, and establishing a closed-loop equation containing the relation between the voltage and the current at the PCC according to the relational expression.
In this embodiment, a relationship between the VSC ac side voltage and the voltage current at the PCC is established by the front-end filter, as shown in equation (11):
Figure 405715DEST_PATH_IMAGE066
，
in the formula (I), the compound is shown in the specification,
Figure 337768DEST_PATH_IMAGE067
for the high-frequency component of the voltage of the A phase at the AC outlet side of the VSC,
Figure 571303DEST_PATH_IMAGE068
is a high-frequency component of the A phase voltage at the power grid side,
Figure 198593DEST_PATH_IMAGE069
for the high-frequency component of the grid side a-phase current,
Figure 785564DEST_PATH_IMAGE070
the inductive impedance of the LCL filter on the VSC side,
Figure 181910DEST_PATH_IMAGE071
is the capacitive impedance of the LCL and,
Figure 851926DEST_PATH_IMAGE072
the inductance impedance of the LCL filter at the side of the power grid;
it should be noted that substituting equations (1), (2) and (10) into equation (11) may obtain a closed-loop equation including the relationship between the voltage and the current at the PCC, as shown in equations (12) and (13):
Figure 589681DEST_PATH_IMAGE073
，（12）
in the formula (I), the compound is shown in the specification,
Figure 104976DEST_PATH_IMAGE060
is 1.5 times of the sampling time delay,
Figure 355829DEST_PATH_IMAGE061
the expression is a complex number which,
Figure 72112DEST_PATH_IMAGE004
for the angular frequency of the fundamental frequency,
Figure 408416DEST_PATH_IMAGE062
is a transfer function of the inner loop control link,
Figure 117615DEST_PATH_IMAGE063
the front-end LCL filter of the VSC is close to the side inductor of the inverter,
Figure 222974DEST_PATH_IMAGE064
the VSC front end LCL filter is close to the grid side inductor,
Figure 234792DEST_PATH_IMAGE015
is the fundamental frequency component of the PCC point current,
Figure 668179DEST_PATH_IMAGE005
in the form of a time, the time,
Figure 56435DEST_PATH_IMAGE006
in the order of the fundamental frequency voltage angle,
Figure 16300DEST_PATH_IMAGE074
is m times component voltage of the high-frequency voltage of the A-phase voltage at the power grid side,
Figure 559539DEST_PATH_IMAGE048
is m times of the angular frequency of the component of the positive sequence high-frequency voltage,
Figure 136014DEST_PATH_IMAGE049
is the m-times component phase angle of the positive sequence high-frequency voltage,
Figure 796803DEST_PATH_IMAGE075
is a multiple of the positive sequence high frequency correlated component frequency to the fundamental frequency,
Figure 752120DEST_PATH_IMAGE076
is a multiple of the negative sequence high frequency correlation component frequency to the fundamental frequency,
Figure 371321DEST_PATH_IMAGE077
is n times component current of the high-frequency current of the phase A current of the PCC point,
Figure 28567DEST_PATH_IMAGE078
for positive-sequence high-frequency current of PCC point A-phase current
Figure 493046DEST_PATH_IMAGE079
The current of the multiple component is measured,
Figure 427504DEST_PATH_IMAGE080
，
Figure 92972DEST_PATH_IMAGE055
is a transfer function of the outer loop control element,
Figure 847301DEST_PATH_IMAGE081
for positive sequence high-frequency voltage of network-side A-phase voltage
Figure 10079DEST_PATH_IMAGE082
A multiple component voltage;
Figure 799044DEST_PATH_IMAGE083
，（13）
in the formula (I), the compound is shown in the specification,
Figure 494467DEST_PATH_IMAGE084
for mains-side A-phase voltage negative sequence high-frequency voltage
Figure 877038DEST_PATH_IMAGE082
The voltage of the multiple component is used as a voltage,
Figure 683320DEST_PATH_IMAGE085
for PCC point A-phase current negative-sequence high-frequency current
Figure 592370DEST_PATH_IMAGE087
The multiple component current.
And 5, solving the closed-loop equation to obtain the relation between the voltage and the current at the PCC, and solving to obtain an impedance matrix including the coupling.
In this embodiment, solving equations (12) and (13) can obtain an impedance matrix including coupling, as shown in equations (14) and (15):
Figure 583329DEST_PATH_IMAGE088
，（14）
in the formula (I), the compound is shown in the specification,
Figure 577830DEST_PATH_IMAGE089
is h times of positive sequence high-frequency voltage of the phase current of the PCC point A,
Figure 187803DEST_PATH_IMAGE090
is k times of positive sequence high-frequency voltage of the phase A current of the PCC point,
Figure 92305DEST_PATH_IMAGE091
is the coupling impedance between the positive sequence high frequency of h +2 times fundamental frequency and the positive sequence high frequency of h +4 times fundamental frequency,
Figure 863952DEST_PATH_IMAGE092
is the self-impedance of the positive sequence high frequency of k times the fundamental frequency,
Figure 345748DEST_PATH_IMAGE093
is h times of the positive sequence high-frequency current of the phase A current of the PCC point,
Figure 385511DEST_PATH_IMAGE094
k times positive sequence high-frequency current of the phase current A of the PCC point;
Figure 3574DEST_PATH_IMAGE095
，（15）
in the formula (I), the compound is shown in the specification,
Figure 87068DEST_PATH_IMAGE096
is h times of negative sequence high-frequency voltage of the phase current of the PCC point A,
Figure 790582DEST_PATH_IMAGE097
is k times negative sequence high-frequency voltage of the phase A current of the PCC point,
Figure 7936DEST_PATH_IMAGE098
is the coupling impedance between the positive sequence high frequency of h +2 times fundamental frequency and the negative sequence high frequency of h times fundamental frequency,
Figure 605140DEST_PATH_IMAGE099
is the self-impedance of the negative-sequence high frequency of k times the fundamental frequency,
Figure 249748DEST_PATH_IMAGE100
is h times of negative sequence high-frequency current of the phase A current of the PCC point,
Figure 440558DEST_PATH_IMAGE101
is k times of the A-phase current of the PCC point.
Wherein the content of the first and second substances,
Figure 805811DEST_PATH_IMAGE102
，
Figure 664046DEST_PATH_IMAGE103
，
Figure 213976DEST_PATH_IMAGE104
，
Figure 515251DEST_PATH_IMAGE105
。
according to the method, a closed-loop equation containing the voltage and current high-frequency components of the VSC grid-connected side is obtained by establishing the high-frequency component transfer relation of different links in the VSC and interfaces among the different links, a coupling impedance matrix of the VSC under high frequency can be obtained by solving the equation, and the coupling impedance matrix can be used for analyzing potential high-frequency oscillation risks when VSC equipment is connected into a power grid.
Referring to fig. 2, a structural block diagram of a closed-loop equation-based VSC high-frequency impedance matrix modeling system according to the present application is shown.
As shown in fig. 2, the VSC high frequency impedance matrix modeling system 200 includes a first establishing module 210, a first calculating module 220, a second calculating module 230, a second establishing module 240, and a solving module 250.
The first establishing module 210 is configured to set that the voltage and the current at the PCC include a high-frequency component, and establish an expression of the voltage and the current at the PCC; the first calculation module 220 is configured to calculate active power and reactive power of an outer control loop of the VSC model according to the voltage and current at the PCC, and calculate a reference current of an inner control loop of the VSC model according to the active power and the reactive power; the second calculating module 230 is configured to calculate an inner-loop current control output current according to the reference current and an inner-loop control transfer function, and calculate an output voltage at the VSC ac side; a second establishing module 240 configured to establish a relational expression between the VSC ac side voltage and the voltage and current at the PCC through a front end filter, and establish a closed-loop equation including a relation between the voltage and the current at the PCC according to the relational expression; and a solving module 250 configured to solve the closed-loop equation to obtain a relationship between the voltage and the current at the PCC and solve to obtain an impedance matrix including the coupling.
It should be understood that the modules depicted in fig. 2 correspond to various steps in the method described with reference to fig. 1. Thus, the operations and features described above for the method and the corresponding technical effects are also applicable to the modules in fig. 2, and are not described again here.
In still other embodiments, an embodiment of the present invention further provides a computer-readable storage medium, on which a computer program is stored, where the program instructions, when executed by a processor, cause the processor to execute the closed-loop equation-based VSC high-frequency impedance matrix modeling method in any of the above method embodiments;
as one embodiment, the computer-readable storage medium of the present invention stores computer-executable instructions configured to:
setting high-frequency components contained in the voltage and the current at the PCC, and establishing an expression of the voltage and the current at the PCC;
calculating active power and reactive power of an external control loop of the VSC model according to the voltage and the current at the PCC, and calculating reference current of an internal control loop of the VSC model according to the active power and the reactive power;
calculating to obtain an inner ring current control output current according to the reference current and the inner ring control transfer function, and calculating to obtain the output voltage of the VSC alternating side;
establishing a relational expression of the voltage of the VSC alternating-current side and the voltage and the current at the PCC through a front-end filter, and establishing a closed-loop equation containing the relation between the voltage and the current at the PCC according to the relational expression;
and solving the closed-loop equation to obtain the relation between the voltage and the current at the PCC, and solving to obtain an impedance matrix including the coupling.
The computer-readable storage medium may include a storage program area and a storage data area, wherein the storage program area may store an operating system, an application program required for at least one function; the storage data area may store data created from use of a closed-loop equation-based VSC high frequency impedance matrix modeling system, and the like. Further, the computer-readable storage medium may include high speed random access memory, and may also include memory, such as at least one magnetic disk storage device, flash memory device, or other non-volatile solid state storage device. In some embodiments, the computer readable storage medium optionally includes memory remotely located from the processor, and these remote memories may be connected over a network to a closed loop equation based VSC high frequency impedance matrix modeling system. Examples of such networks include, but are not limited to, the internet, intranets, local area networks, mobile communication networks, and combinations thereof.
Fig. 3 is a schematic structural diagram of an electronic device according to an embodiment of the present invention, and as shown in fig. 3, the electronic device includes: a processor 310 and a memory 320. The electronic device may further include: an input device 330 and an output device 340. The processor 310, the memory 320, the input device 330, and the output device 340 may be connected by a bus or other means, such as the bus connection in fig. 3. The memory 320 is the computer-readable storage medium described above. The processor 310 executes various functional applications and data processing of the server by running nonvolatile software programs, instructions and modules stored in the memory 320, namely, implementing the closed-loop equation-based VSC high-frequency impedance matrix modeling method of the above method embodiments. The input device 330 may receive input numeric or character information and generate key signal inputs related to user settings and function control of the closed-loop equation based VSC high frequency impedance matrix modeling system. The output device 340 may include a display device such as a display screen.
The electronic device can execute the method provided by the embodiment of the invention, and has the corresponding functional modules and beneficial effects of the execution method. For technical details that are not described in detail in this embodiment, reference may be made to the method provided by the embodiment of the present invention.
As an implementation manner, the electronic device is applied to a VSC high-frequency impedance matrix modeling system based on a closed-loop equation, and is used for a client, and includes: at least one processor; and a memory communicatively coupled to the at least one processor; wherein the memory stores instructions executable by the at least one processor to cause the at least one processor to:
setting high-frequency components contained in the voltage and the current at the PCC, and establishing an expression of the voltage and the current at the PCC;
calculating active power and reactive power of an external control loop of the VSC model according to the voltage and the current at the PCC, and calculating reference current of an internal control loop of the VSC model according to the active power and the reactive power;
calculating to obtain an inner ring current control output current according to the reference current and the inner ring control transfer function, and calculating to obtain the output voltage of the VSC alternating side;
establishing a relational expression of the voltage of the VSC alternating-current side and the voltage and the current at the PCC through a front-end filter, and establishing a closed-loop equation containing the relation between the voltage and the current at the PCC according to the relational expression;
and solving the closed-loop equation to obtain the relation between the voltage and the current at the PCC, and solving to obtain an impedance matrix including the coupling.
Through the above description of the embodiments, those skilled in the art will clearly understand that each embodiment may be implemented by software plus a necessary general hardware platform, and may also be implemented by hardware. Based on the understanding, the above technical solutions substantially or otherwise contributing to the prior art may be embodied in the form of a software product, which may be stored in a computer-readable storage medium, such as ROM/RAM, magnetic disk, optical disk, etc., and includes several instructions for causing a computer device (which may be a personal computer, a server, or a network device, etc.) to execute the method of various embodiments or some parts of embodiments.
Finally, it should be noted that: the above examples are only intended to illustrate the technical solution of the present invention, and not to limit it; although the present invention has been described in detail with reference to the foregoing embodiments, it will be understood by those of ordinary skill in the art that: the technical solutions described in the foregoing embodiments may still be modified, or some technical features may be equivalently replaced; and such modifications or substitutions do not depart from the spirit and scope of the corresponding technical solutions of the embodiments of the present invention.

Claims (10)

1. A VSC high-frequency impedance matrix modeling method based on a closed-loop equation is characterized by comprising the following steps:
step 1, setting high-frequency components contained in the voltage and the current at the PCC, and establishing an expression of the voltage and the current at the PCC;
step 2, calculating active power and reactive power of an external control loop of the VSC model according to the voltage and current at the PCC, and calculating reference current of an internal control loop of the VSC model according to the active power and the reactive power;
step 3, calculating to obtain an inner ring current control output current according to the reference current and an inner ring control transfer function, and calculating to obtain the output voltage of the VSC alternating side;
step 4, establishing a relational expression of the voltage of the VSC alternating current side and the voltage and the current of the PCC through a front-end filter, and establishing a closed-loop equation containing the relation between the voltage and the current of the PCC according to the relational expression;
and 5, solving the closed-loop equation to obtain the relation between the voltage and the current at the PCC, and solving to obtain an impedance matrix including the coupling.
2. The closed-loop equation based VSC high-frequency impedance matrix modeling method according to claim 1, wherein in step 1, the expressions of voltage and current at PCC are:
Figure 95991DEST_PATH_IMAGE001
，
in the formula (I), the compound is shown in the specification,
Figure 97445DEST_PATH_IMAGE002
in order to be the PCC point voltage,
Figure 499608DEST_PATH_IMAGE003
for the fundamental frequency component of the PCC point voltage,
Figure 27541DEST_PATH_IMAGE004
for the angular frequency of the fundamental frequency,
Figure 755325DEST_PATH_IMAGE005
as a matter of time, the time is,
Figure 837551DEST_PATH_IMAGE006
in the order of the fundamental frequency voltage angle,
Figure 574563DEST_PATH_IMAGE007
is a positive sequence high-frequency voltage component voltage,
Figure 832369DEST_PATH_IMAGE008
for positive sequence high frequency voltage component angular frequencies,
Figure 91574DEST_PATH_IMAGE009
the phase angle of the high-frequency voltage component is a positive sequence,
Figure 67620DEST_PATH_IMAGE010
is a negative sequence high-frequency voltage component voltage,
Figure 77165DEST_PATH_IMAGE012
is the negative sequence high frequency voltage component angular frequency,
Figure 314111DEST_PATH_IMAGE013
is a negative sequence high-frequency voltage component voltage phase angle,
Figure 383698DEST_PATH_IMAGE014
is the current of the PCC point, and the current of the PCC point,
Figure 440516DEST_PATH_IMAGE015
for the fundamental frequency component of the PCC point current,
Figure 519330DEST_PATH_IMAGE016
is the phase angle of the current component of the fundamental frequency,
Figure 486149DEST_PATH_IMAGE017
is a positive-sequence high-frequency current component,
Figure 851272DEST_PATH_IMAGE018
the phase angle of the high-frequency current component is positive sequence,
Figure 536331DEST_PATH_IMAGE019
is a negative-sequence high-frequency current component,
Figure 153257DEST_PATH_IMAGE020
is a negative sequence high-frequency current component phase angle;
wherein the expression of the voltage in dq coordinates is:
Figure 591892DEST_PATH_IMAGE021
，
in the formula (I), the compound is shown in the specification,
Figure 737702DEST_PATH_IMAGE022
is the d-axis voltage value on the grid side,
Figure 34692DEST_PATH_IMAGE023
is the q-axis voltage value of the power grid side;
the expression for the current in dq coordinates is:
Figure 189729DEST_PATH_IMAGE024
，
in the formula (I), the compound is shown in the specification,
Figure 131141DEST_PATH_IMAGE025
is the d-axis current value on the grid side,
Figure 838066DEST_PATH_IMAGE026
the q-axis current value on the grid side.
3. The closed-loop equation based VSC high-frequency impedance matrix modeling method of claim 1, wherein in step 2, the expression for calculating the active power of the outer control loop of the VSC model according to the voltage and current at the PCC is:
Figure 497717DEST_PATH_IMAGE027
，
in the formula (I), the compound is shown in the specification,
Figure 315500DEST_PATH_IMAGE022
is the d-axis voltage value on the grid side,
Figure 376997DEST_PATH_IMAGE023
is the value of the q-axis voltage on the grid side,
Figure 130190DEST_PATH_IMAGE025
is the d-axis current value on the grid side,
Figure 637657DEST_PATH_IMAGE026
is the q-axis current value on the grid side,
Figure 134497DEST_PATH_IMAGE028
is a multiple of the positive sequence high frequency correlated component frequency to the fundamental frequency,
Figure 50500DEST_PATH_IMAGE029
is a multiple of the negative sequence high frequency dependent component frequency to the fundamental frequency,
Figure 364807DEST_PATH_IMAGE003
for the fundamental frequency component of the PCC point voltage,
Figure 733471DEST_PATH_IMAGE004
for the angular frequency of the fundamental frequency,
Figure 34003DEST_PATH_IMAGE005
as a matter of time, the time is,
Figure 663567DEST_PATH_IMAGE006
in the order of the fundamental frequency voltage angle,
Figure 24141DEST_PATH_IMAGE007
is a positive sequence high-frequency voltage component voltage,
Figure 739157DEST_PATH_IMAGE008
for positive sequence high frequency voltage component angular frequencies,
Figure 843379DEST_PATH_IMAGE009
the phase angle of the high-frequency voltage component is a positive sequence,
Figure 733974DEST_PATH_IMAGE010
is a negative sequence high-frequency voltage component voltage,
Figure 623040DEST_PATH_IMAGE012
is the negative sequence high frequency voltage component angular frequency,
Figure 700717DEST_PATH_IMAGE013
is a negative sequence high-frequency voltage component voltage phase angle,
Figure 343051DEST_PATH_IMAGE015
for the fundamental frequency component of the PCC point current,
Figure 212787DEST_PATH_IMAGE016
is the phase angle of the current component of the fundamental frequency,
Figure 649584DEST_PATH_IMAGE017
in order to be a positive-sequence high-frequency current component,
Figure 480137DEST_PATH_IMAGE018
the phase angle of the high-frequency current component is positive sequence,
Figure 785217DEST_PATH_IMAGE019
is a negative-sequence high-frequency current component,
Figure 650404DEST_PATH_IMAGE020
is a negative sequence high-frequency current component phase angle,
Figure 382737DEST_PATH_IMAGE030
is m times component voltage of positive sequence high-frequency voltage,
Figure 435007DEST_PATH_IMAGE031
is n times the fundamental frequency component of the PCC point current,
Figure 419143DEST_PATH_IMAGE032
is m times component angular frequency of the positive sequence high-frequency voltage,
Figure 764936DEST_PATH_IMAGE033
is the m-times component phase angle of the positive sequence high-frequency voltage,
Figure 543536DEST_PATH_IMAGE034
is the angular frequency of the n-fold component voltage of the negative sequence high-frequency voltage,
Figure 83102DEST_PATH_IMAGE035
is the n-times component phase angle of the fundamental frequency current;
the expression for calculating the reactive power of the outer control loop of the VSC model from the voltage and current at the PCC is:
Figure 729984DEST_PATH_IMAGE036
。
4. the closed-loop equation based VSC high-frequency impedance matrix modeling method according to claim 3, characterized in that in step 2, the expression of the reference current of the inner control loop of the VSC model calculated from the active power and the reactive power is:
Figure 304185DEST_PATH_IMAGE037
，
in the formula (I), the compound is shown in the specification,
Figure 378320DEST_PATH_IMAGE038
is controlled by an inner ringThe high frequency components in the reference current of the d-axis of the link are suppressed,
Figure 670761DEST_PATH_IMAGE039
a transfer function for an outer loop control link;
Figure 731121DEST_PATH_IMAGE040
，
in the formula (I), the compound is shown in the specification,
Figure 550041DEST_PATH_IMAGE041
the high frequency component in the reference current of the q axis of the link is controlled by the inner loop.
5. The closed-loop equation-based VSC high-frequency impedance matrix modeling method according to claim 1, wherein in step 3, the expression of the output voltage on the AC side of the VSC is calculated as:
Figure 670444DEST_PATH_IMAGE042
，
in the formula (I), the compound is shown in the specification,
Figure 184602DEST_PATH_IMAGE043
for the high frequency component of the VSC ac outlet side voltage,
Figure 677681DEST_PATH_IMAGE044
is 1.5 times of the sampling delay time,
Figure 226474DEST_PATH_IMAGE045
which represents a plurality of numbers, each of which represents a plurality of numbers,
Figure 642412DEST_PATH_IMAGE046
is a transfer function of the inner loop control link,
Figure 643866DEST_PATH_IMAGE047
is VSC front end LCThe L filter is close to the inductor at the side of the inverter,
Figure 311608DEST_PATH_IMAGE048
the VSC front end LCL filter is close to the grid side inductor,
Figure 839541DEST_PATH_IMAGE004
is the angular frequency of the fundamental frequency and,
Figure 301746DEST_PATH_IMAGE005
as a matter of time, the time is,
Figure 790497DEST_PATH_IMAGE006
in the order of the fundamental frequency voltage angle,
Figure 386563DEST_PATH_IMAGE039
is a transfer function of the outer loop control element,
Figure 644369DEST_PATH_IMAGE008
for positive sequence high frequency voltage component angular frequencies,
Figure 903574DEST_PATH_IMAGE012
is the negative sequence high frequency voltage component angular frequency,
Figure 879621DEST_PATH_IMAGE015
for the fundamental frequency component of the PCC point current,
Figure 154744DEST_PATH_IMAGE017
in order to be a positive-sequence high-frequency current component,
Figure 126111DEST_PATH_IMAGE018
the phase angle of the high-frequency current component is positive sequence,
Figure 461278DEST_PATH_IMAGE019
is a negative-sequence high-frequency current component,
Figure 393462DEST_PATH_IMAGE020
is a negative sequence high frequency current component phase angle,
Figure 596910DEST_PATH_IMAGE049
for the fundamental frequency component of the PCC point voltage,
Figure 298150DEST_PATH_IMAGE030
is m times component voltage of positive sequence high-frequency voltage,
Figure 804217DEST_PATH_IMAGE031
is n times the fundamental frequency component of the PCC point current,
Figure 348331DEST_PATH_IMAGE032
is m times component angular frequency of the positive sequence high-frequency voltage,
Figure 965257DEST_PATH_IMAGE033
is m times component phase angle of positive sequence high-frequency voltage,
Figure 52162DEST_PATH_IMAGE034
is the angular frequency of the n-fold component voltage of the negative sequence high-frequency voltage,
Figure 86721DEST_PATH_IMAGE035
is the phase angle of n-fold component of the fundamental current.
6. The closed-loop equation based VSC high-frequency impedance matrix modeling method of claim 1, wherein in step 4, a relation between the VSC AC side voltage and the voltage and current at the PCC is established by a front-end filter as follows:
Figure 259076DEST_PATH_IMAGE050
，
in the formula (I), the compound is shown in the specification,
Figure 538748DEST_PATH_IMAGE051
for the high-frequency component of the voltage of the A phase at the AC outlet side of the VSC,
Figure 480159DEST_PATH_IMAGE052
is a high-frequency component of the A-phase voltage on the power grid side,
Figure 62450DEST_PATH_IMAGE053
is a high-frequency component of the A-phase current at the power grid side,
Figure 846735DEST_PATH_IMAGE054
the inductive impedance of the LCL filter on the VSC side,
Figure 539885DEST_PATH_IMAGE055
is the capacitive impedance of the LCL and,
Figure 601381DEST_PATH_IMAGE056
the inductive impedance of the LCL filter on the network side.
7. A method according to claim 6, wherein in step 4, the expression of the closed-loop equation including the relation between the voltage and the current at the PCC is:
Figure 213628DEST_PATH_IMAGE057
，
in the formula (I), the compound is shown in the specification,
Figure 360576DEST_PATH_IMAGE044
is 1.5 times of the sampling delay time,
Figure 483515DEST_PATH_IMAGE045
which represents a plurality of numbers, each of which represents a plurality of numbers,
Figure 399518DEST_PATH_IMAGE004
at a fundamental frequency angleThe frequency of the radio waves is set to be,
Figure 589191DEST_PATH_IMAGE046
is a transfer function of the inner loop control link,
Figure 816910DEST_PATH_IMAGE047
the front-end LCL filter of the VSC is close to the side inductor of the inverter,
Figure 851862DEST_PATH_IMAGE048
the front LCL filter of the VSC is close to the inductance on the side of the power grid,
Figure 887952DEST_PATH_IMAGE015
is the fundamental frequency component of the PCC point current,
Figure 373160DEST_PATH_IMAGE005
as a matter of time, the time is,
Figure 963541DEST_PATH_IMAGE006
is the angle of the voltage at the fundamental frequency,
Figure 67763DEST_PATH_IMAGE058
is m times component voltage of the high-frequency voltage of the A-phase voltage at the power grid side,
Figure 817413DEST_PATH_IMAGE032
is m times component angular frequency of the positive sequence high-frequency voltage,
Figure 348889DEST_PATH_IMAGE033
is the m-times component phase angle of the positive sequence high-frequency voltage,
Figure 692145DEST_PATH_IMAGE028
is a multiple of the positive sequence high frequency correlated component frequency to the fundamental frequency,
Figure 709647DEST_PATH_IMAGE029
for frequency-base of negative-sequence high-frequency correlation componentThe multiple of the frequency of the first and second frequency bands,
Figure 189170DEST_PATH_IMAGE059
is n times component current of the high-frequency current of the phase A current of the PCC point,
Figure 16181DEST_PATH_IMAGE060
for positive sequence high-frequency current of phase-A current at PCC points
Figure 846733DEST_PATH_IMAGE061
The current of the multiple component is measured,
Figure 27179DEST_PATH_IMAGE062
，
Figure 220263DEST_PATH_IMAGE039
is a transfer function of the outer loop control element,
Figure 952596DEST_PATH_IMAGE063
for positive sequence high-frequency voltage of network-side A-phase voltage
Figure 4865DEST_PATH_IMAGE064
A multiple component voltage;
Figure 254581DEST_PATH_IMAGE065
in the formula (I), the compound is shown in the specification,
Figure 69215DEST_PATH_IMAGE066
for mains-side A-phase voltage negative-sequence high-frequency voltage
Figure 113395DEST_PATH_IMAGE064
The voltage of the multiple component is used as the voltage,
Figure 777594DEST_PATH_IMAGE067
for PCC point A-phase current negative sequence high-frequency current
Figure 565422DEST_PATH_IMAGE068
The multiple component current.
8. A method according to claim 6, wherein in step 5, the equation for solving the impedance matrix including the coupling is:
Figure 874043DEST_PATH_IMAGE069
，
in the formula (I), the compound is shown in the specification,
Figure 213758DEST_PATH_IMAGE070
is h times of positive sequence high-frequency voltage of the phase current of the PCC point A,
Figure 240620DEST_PATH_IMAGE071
is k times of the positive sequence high-frequency voltage of the phase A current of the PCC point,
Figure 566559DEST_PATH_IMAGE072
is the coupling impedance between the positive sequence high frequency of h +2 times fundamental frequency and the positive sequence high frequency of h +4 times fundamental frequency,
Figure 854321DEST_PATH_IMAGE073
is the self-impedance of the positive sequence high frequency of k times the fundamental frequency,
Figure 505882DEST_PATH_IMAGE074
is h times of positive sequence high-frequency current of the phase A current of the PCC point,
Figure 20040DEST_PATH_IMAGE075
k times of positive sequence high-frequency current of the phase current of the PCC point A;
Figure 507260DEST_PATH_IMAGE076
，
in the formula (I), the compound is shown in the specification,
Figure 56053DEST_PATH_IMAGE077
is h times of negative sequence high-frequency voltage of the phase current A of the PCC point,
Figure 471990DEST_PATH_IMAGE078
is k times negative sequence high-frequency voltage of the phase A current of the PCC point,
Figure 473445DEST_PATH_IMAGE079
is a coupling impedance between a positive sequence high frequency of h +2 times of the fundamental frequency and a negative sequence high frequency of h times of the fundamental frequency,
Figure 141186DEST_PATH_IMAGE080
is the self-impedance of the negative-sequence high frequency of k times the fundamental frequency,
Figure 669120DEST_PATH_IMAGE081
is h times of negative sequence high-frequency current of the phase A current of the PCC point,
Figure 396904DEST_PATH_IMAGE082
is k times of the A-phase current of the PCC point.
9. A closed loop equation-based VSC high frequency impedance matrix modeling system is characterized by comprising:
the first establishing module is configured to set that the voltage and the current at the PCC contain high-frequency components and establish an expression of the voltage and the current at the PCC;
the first calculation module is configured to calculate active power and reactive power of an external control loop of the VSC model according to the voltage and current at the PCC, and calculate reference current of an internal control loop of the VSC model according to the active power and the reactive power;
the second calculation module is configured to calculate to obtain an inner-loop current control output current according to the reference current and an inner-loop control transfer function, and calculate to obtain a VSC alternating-current side output voltage;
the second establishing module is configured to establish a relational expression between the voltage of the VSC alternating-current side and the voltage and the current at the PCC through a front-end filter, and establish a closed-loop equation containing the relation between the voltage and the current at the PCC according to the relational expression;
and the solving module is configured to solve the closed-loop equation to obtain the relation between the voltage and the current at the PCC and solve to obtain an impedance matrix including the coupling.
10. An electronic device, comprising: at least one processor, and a memory communicatively coupled to the at least one processor, wherein the memory stores instructions executable by the at least one processor to enable the at least one processor to perform the method of any of claims 1-8.
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