CN106505581B - compensation method and device of photovoltaic grid-connected inverter - Google Patents

compensation method and device of photovoltaic grid-connected inverter Download PDF

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CN106505581B
CN106505581B CN201611103776.1A CN201611103776A CN106505581B CN 106505581 B CN106505581 B CN 106505581B CN 201611103776 A CN201611103776 A CN 201611103776A CN 106505581 B CN106505581 B CN 106505581B
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power
grid
compensation
voltage
reactive
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CN106505581A (en
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宋泽琳
雷龙
郭清风
许敏
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Gree Electric Appliances Inc of Zhuhai
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Gree Electric Appliances Inc of Zhuhai
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    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02JCIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J3/00Circuit arrangements for ac mains or ac distribution networks
    • H02J3/12Circuit arrangements for ac mains or ac distribution networks for adjusting voltage in ac networks by changing a characteristic of the network load
    • H02J3/16Circuit arrangements for ac mains or ac distribution networks for adjusting voltage in ac networks by changing a characteristic of the network load by adjustment of reactive power
    • H02J3/383
    • YGENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y02TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02EREDUCTION OF GREENHOUSE GAS [GHG] EMISSIONS, RELATED TO ENERGY GENERATION, TRANSMISSION OR DISTRIBUTION
    • Y02E10/00Energy generation through renewable energy sources
    • Y02E10/50Photovoltaic [PV] energy
    • Y02E10/56Power conversion systems, e.g. maximum power point trackers
    • YGENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y02TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02EREDUCTION OF GREENHOUSE GAS [GHG] EMISSIONS, RELATED TO ENERGY GENERATION, TRANSMISSION OR DISTRIBUTION
    • Y02E40/00Technologies for an efficient electrical power generation, transmission or distribution
    • Y02E40/30Reactive power compensation

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  • Engineering & Computer Science (AREA)
  • Power Engineering (AREA)
  • Inverter Devices (AREA)
  • Supply And Distribution Of Alternating Current (AREA)
  • Control Of Electrical Variables (AREA)

Abstract

The invention provides a compensation method and a compensation device for a photovoltaic grid-connected inverter, wherein the method comprises the following steps: determining whether the voltage of the power grid drops; if the voltage of the power grid drops, determining active power and reactive power through reactive power compensation; and performing active compensation and reactive compensation on the power grid according to the active power and the reactive power. The invention solves the technical problem that the single-phase photovoltaic inverter has single function caused by that the existing single-phase photovoltaic inverter can only realize active output, and achieves the technical effect of effectively expanding the function of the single-phase photovoltaic inverter.

Description

Compensation method and device of photovoltaic grid-connected inverter
Technical Field
The invention relates to the technical field of power grids, in particular to a compensation method and device of a photovoltaic grid-connected inverter.
Background
Since the 90 s in the 20 th century, solar power generation technology has been continuously developed at a high speed, and photovoltaic grid-connected power generation has become one of the main solar energy utilization forms at present. The grid-connected inverter is a core link of a grid-connected power generation system, and becomes a research hotspot in the field.
At present, the control of a single-phase photovoltaic inverter system generally focuses on enabling an inverter to output a unit power factor, so that the grid-connected efficiency is improved to the maximum extent. That is, single-phase photovoltaic inverters function relatively singly.
In view of the above problems, no effective solution has been proposed.
Disclosure of Invention
The embodiment of the invention provides a compensation method of a photovoltaic grid-connected inverter, which is used for effectively expanding the action of a single-phase photovoltaic inverter and comprises the following steps:
determining whether the voltage of the power grid drops;
if the voltage of the power grid drops, determining active power and reactive power through reactive power compensation;
and performing active compensation and reactive compensation on the power grid according to the active power and the reactive power.
In one embodiment, the active power and reactive power are calculated according to the following formulas:
wherein P represents active power, Q represents reactive power, VdRepresenting the corresponding d-axis voltage, V, in the rotation coordinateqRepresenting the corresponding q-axis voltage, I, in the rotating coordinatedRepresenting d-axis active current, Iq=k(1-Vg)InWherein V isgRepresenting per unit instantaneous grid voltage, InThe current of the power grid in normal is shown, k is a relational expression of the power grid voltage and the reactive compensation current when the low voltage passes through, and k is more than or equal to 2.
In one embodiment, reactive compensation of the grid includes: and carrying out current inner loop control and voltage outer loop control on the power grid.
In one embodiment, current inner loop control is performed according to the following equation:
wherein G isi(s) denotes a proportional resonance control and harmonic compensation controller, kpTo proportional gain, krAs reference resonant gain, krhControlling the gain factor (h-3, 5, 7), w, for resonance0For grid reference frequency, s represents the laplace transform factor.
In one embodiment, voltage outer loop control is performed according to the following equation:
wherein,representing the grid reference current, v、vRespectively, the quadrature component of the grid voltage, GP(s) represents active workPI controller, G of rateQ(s) PI controller for reactive power, P active power, Q reactive power, P*Representing a given reference active power, Q*Representing a given reference reactive power.
The embodiment of the invention also provides a compensation device of the photovoltaic grid-connected inverter, which is used for effectively expanding the action of the single-phase photovoltaic inverter and comprises the following components:
the judging module is used for determining whether the voltage of the power grid drops;
the determining module is used for determining active power and reactive power through reactive compensation when the condition that the voltage of the power grid drops is determined;
and the compensation module is used for performing active compensation and reactive compensation on the power grid according to the active power and the reactive power.
In one embodiment, the determining module is specifically configured to calculate the active power and the reactive power according to the following formulas:
wherein P represents active power, Q represents reactive power, VdRepresenting the corresponding d-axis voltage, V, in the rotation coordinateqRepresenting the corresponding q-axis voltage, I, in the rotating coordinatedRepresenting d-axis active current, Iq=k(1-Vg)InWherein V isgRepresenting per unit instantaneous grid voltage, InThe current of the power grid in normal is shown, k is a relational expression of the power grid voltage and the reactive compensation current when the low voltage passes through, and k is more than or equal to 2.
In one embodiment, the compensation module performs reactive compensation on the power grid, and includes: and carrying out current inner loop control and voltage outer loop control on the power grid.
In one embodiment, the compensation module is specifically configured to perform current inner loop control according to the following formula:
wherein G isi(s) denotes a proportional resonance control and harmonic compensation controller, kpTo proportional gain, krAs reference resonant gain, krhControlling the gain factor (h-3, 5, 7), w, for resonance0For grid reference frequency, s represents the laplace transform factor.
In one embodiment, the compensation module is specifically configured to perform voltage outer loop control according to the following formula:
wherein,representing the grid reference current, v、vRespectively, the quadrature component of the grid voltage, GP(s) PI controller, G representing active powerQ(s) PI controller for reactive power, P active power, Q reactive power, P*Representing a given reference active power, Q*Representing a given reference reactive power.
In the above embodiment, a compensation method for a photovoltaic grid-connected inverter is provided, and reactive compensation is performed when a voltage drop occurs in a photovoltaic power grid, so that the technical problem that the single-phase photovoltaic inverter is too single in action due to the fact that the existing single-phase photovoltaic inverter can only achieve active output is solved, and the technical effect of effectively expanding the action of the single-phase photovoltaic inverter is achieved.
Drawings
The accompanying drawings, which are incorporated in and constitute a part of this application, illustrate embodiments of the invention and, together with the description, serve to explain the invention and not to limit the invention. In the drawings:
FIG. 1 is a block diagram of a power and control architecture of a photovoltaic grid-connected inverter system;
fig. 2 is a method flowchart of a compensation method of a photovoltaic grid-connected inverter according to an embodiment of the present invention;
FIG. 3 is a control block diagram of a photovoltaic grid-connected power conditioning system according to an embodiment of the present invention;
fig. 4 is a control block diagram of a photovoltaic grid-connected inverter system according to an embodiment of the present invention;
fig. 5 is a block diagram of a compensation apparatus of a photovoltaic grid-connected inverter according to an embodiment of the present invention.
Detailed Description
In order to make the objects, technical solutions and advantages of the present invention more apparent, the present invention will be described in further detail with reference to the following embodiments and accompanying drawings. The exemplary embodiments and descriptions of the present invention are provided to explain the present invention, but not to limit the present invention.
The inventor considers that in order to extend the functionality of a single-phase photovoltaic inverter such that the grid receives the photovoltaic inverter to a greater extent, it is possible to implement, for example: the system has the auxiliary functions of low voltage ride through, reactive compensation and the like, namely, the single-phase photovoltaic grid-connected reactive compensation function is expanded, the accurate detection and compensation of reactive and harmonic currents of a single-phase grid-connected system are realized, and the single-phase photovoltaic grid-connected system has the reactive and harmonic compensation functions at the same time. And the three-phase reactive power theoretical algorithm is expanded into a single-phase system, so that the reactive compensation of the single-phase photovoltaic grid-connected inverter system is realized.
As shown in fig. 1, the control of the single-phase photovoltaic inverter system is focused on making the inverter output a unit power factor, thereby greatly improving the grid-connected efficiency. In order to make the grid receive the photovoltaic inverter to a greater extent, the photovoltaic inverter can be made to have: low voltage ride through, reactive compensation and other auxiliary functions. The reactive compensation theory of the single-phase photovoltaic grid-connected inverter system is expanded from a three-phase reactive power theory, the three-phase detection algorithm is mainly applied to a three-phase balanced circuit, and the single-phase detection algorithm can be applied to a single-phase circuit and also can be applied to a three-phase balanced or unbalanced circuit, so that the application range is wider.
For this reason, in this example, a compensation method for a photovoltaic grid-connected inverter is provided, as shown in fig. 2, may include the following steps:
step 201: determining whether the voltage of the power grid drops;
step 202: if the voltage of the power grid drops, determining active power and reactive power through reactive power compensation;
for a photovoltaic grid-connected inverter, the control objective is to inject the maximum active power into the grid, and during the voltage drop, the power output by the inverter to the grid is reduced sharply, and at the moment, the input power of the inverter exceeds the output power, and energy is accumulated on a direct current bus, so that the voltage of the direct current bus is increased, and the electric elements are damaged.
In order to solve the above problem, a reactive compensation method may be adopted. As shown in fig. 3, in a normal situation, the BOOST circuit of the inverter operates in the MPPT mode, the maximum power generated by the photovoltaic array is boosted by the BOOST circuit, and then filtered by the inverter to the grid, and the main control target at this time is to inject the maximum active power into the grid, that is, to control the power factor to be 1 or infinitely close to 1. When the voltage of the power grid drops, the active power output value can be calculated to determine whether the BOOST circuit gives up the MPPT function.
By power balance, the magnitude of photovoltaic current and voltage is controlled, and power regulation can be performed to output active and reactive command voltages. The voltage regulation outputs instruction current, reactive compensation and harmonic compensation current regulation are carried out by detecting current on the power grid to obtain grid-connected reference voltage, and reactive compensation and grid-connected power generation can be realized.
Specifically, the active power and the reactive power can be calculated by the following formulas:
wherein, P represents active power, Q represents reactive power, VdRepresenting the corresponding d-axis voltage, V, in the rotation coordinateqRepresenting the corresponding q-axis voltage, I, in the rotating coordinatedRepresenting d-axis active current, Iq=k(1-Vg)InWherein V isgRepresenting per unit instantaneous grid voltage, InThe current of the power grid in normal is represented, k represents a relational expression of the power grid voltage and the reactive compensation current when the low voltage passes through, namely the reactive compensation current is determined by judging the power grid voltage, and according to the standard, k is usually more than or equal to 2.
Step 103: and performing active compensation and reactive compensation on the power grid according to the active power and the reactive power.
The reactive compensation control can comprise current inner loop and voltage outer loop control, wherein the current inner loop is used for controlling the quality of electric energy and current protection, and the voltage outer loop is used for providing given current required by the inner loop.
Specifically, the current inner loop control may be performed according to the following formula:
wherein G isi(s) proportional resonance control and harmonic compensationController, kpTo proportional gain, krAs reference resonant gain, krhControlling the gain factor (h-3, 5, 7), w, for resonance0For grid reference frequency, s represents the laplace transform factor.
The voltage outer loop control can be performed according to the following formula:
wherein,representing the grid reference current, v、vRespectively, the quadrature component of the grid voltage, GP(s) PI controller, G representing active powerQ(s) PI controller for reactive power, P active power, Q reactive power, P*Representing a given reference active power, Q*Representing a given reference reactive power.
The compensation method of the photovoltaic grid-connected inverter is described below with reference to an embodiment, but it should be noted that the embodiment is only for better describing the present invention and is not to be construed as limiting the present invention
The control target of the photovoltaic grid-connected inverter is to inject the maximum active power into a power grid, the power output by the inverter to the power grid is sharply reduced during voltage drop, the input power of the inverter exceeds the output power at the moment, energy is accumulated on a direct-current bus, the voltage of the direct-current bus is increased, electric elements are damaged, and the most direct method for solving the problem is to adopt a reactive power compensation strategy.
As shown in fig. 3, in a normal situation, the BOOST circuit of the inverter operates in the MPPT mode, the maximum power generated by the photovoltaic array is boosted by the BOOST circuit, and then filtered by the inverter to the grid, and the main control target at this time is to inject the maximum active power into the grid, that is, to control the power factor to be 1 or infinitely close to 1. When the voltage of the power grid drops, the active power output value is calculated to determine whether the BOOST circuit gives up the MPPT function.
By power balance, the magnitude of photovoltaic current and voltage is controlled, and power regulation can be performed to output active and reactive command voltages. The voltage regulation outputs instruction current, reactive compensation and harmonic compensation current regulation are carried out by detecting current on the power grid to obtain grid-connected reference voltage, and reactive compensation and grid-connected power generation can be realized.
The control block diagram of the photovoltaic grid-connected power regulation system can be shown in fig. 3 and 4, in order to obtain the reactive current of the power grid, the instantaneous reactive power theory is applied to a single-phase system, and orthogonal two-phase current and voltage, V, can be constructed、VAnd i、i. In the figure, LVRT (Low Voltage Ride-Through) is Low Voltage Ride Through, OSG (orthogonal Signal Generation) is orthogonal algorithm, RPC (reactive Power compensator) is reactive compensation, and Sag Detection is Voltage drop Detection. The reactive compensation control comprises current inner loop and voltage outer loop control, wherein the current inner loop is used for controlling the quality of electric energy and current protection, and the voltage outer loop is used for providing given current required by the inner loop.
When the voltage of the power grid is normal, the active power P is given*And reactive power Q*Are respectively PMPP(maximum power tracking) and 0, when the voltage drops, P is calculated by reactive compensation*And Q*
In this example, a reactive compensation strategy for constant active power control may be adopted, and according to the orthogonal algorithm, the active power is:
P=VgId/2
wherein, VgFor the mains voltage, IdFor d-axis active current, when the grid is normal Id=In,Vgn、InThe voltage and the current are respectively the voltage and the current when the power grid is normal, and the active power is P ═ P at the momentn=VgnIn/2。
From the reactive current compensation it can be derived:
wherein (1-1/k) p.u is not more than VgIs less than or equal to 0.9p.u, and p.u is a per unit value. In order to achieve normal grid connection during low voltage ride through, the following relation needs to be satisfied:
wherein, ImaxThe active power and the reactive power are respectively the following maximum current allowed by the inverter:
the outer ring voltage control link is as follows:
wherein v is、vRespectively, the quadrature component of the grid voltage, GP(s)、GQAnd(s) PI controllers of active power and reactive power respectively.
The inner loop current control link is as follows:
the inner ring adopts proportional resonance control and harmonic compensation control, wherein kpTo proportional gain, krAs reference resonant gain, krhControlling the gain factor (where h is 3, 5, 7), w, for resonance0Is the grid reference frequency.
Aiming at the problem that the photovoltaic grid-connected inverter can adopt a control strategy of constant active power of the photovoltaic inverter to realize reactive compensation and harmonic compensation when the voltage drops, the waste of MPPT output current in the period is reduced, the MPPT and the maximum current output can achieve coordination control, and the voltage fluctuation can be effectively reduced at the time of voltage recovery.
Based on the same inventive concept, the embodiment of the present invention further provides a compensation apparatus for a photovoltaic grid-connected inverter, as described in the following embodiments. The principle of the compensation device of the photovoltaic grid-connected inverter for solving the problems is similar to that of the compensation method of the photovoltaic grid-connected inverter, so the implementation of the compensation device of the photovoltaic grid-connected inverter can refer to the implementation of the compensation method of the photovoltaic grid-connected inverter, and repeated parts are not repeated. As used hereinafter, the term "unit" or "module" may be a combination of software and/or hardware that implements a predetermined function. Although the means described in the embodiments below are preferably implemented in software, an implementation in hardware, or a combination of software and hardware is also possible and contemplated. Fig. 5 is a block diagram of a compensation apparatus for a photovoltaic grid-connected inverter according to an embodiment of the present invention, and as shown in fig. 5, the compensation apparatus may include: a judging module 501, a determining module 502 and a compensating module 503, and the structure will be described below.
The judging module 501 is configured to determine whether a grid voltage drops;
a determining module 502, configured to determine active power and reactive power through reactive power compensation when it is determined that the grid voltage drops;
and a compensation module 503, configured to perform active compensation and reactive compensation on the power grid according to the active power and the reactive power.
In an embodiment, the determining module 502 may be specifically configured to calculate the active power and the reactive power according to the following formulas:
wherein P represents active power, Q represents reactive power, VdRepresenting the corresponding d-axis voltage, V, in the rotation coordinateqRepresenting the corresponding q-axis voltage, I, in the rotating coordinatedRepresenting d-axis active current, Iq=k(1-Vg)InWherein V isgRepresenting per unit instantaneous grid voltage, InThe current of the power grid in normal is shown, k is a relational expression of the power grid voltage and the reactive compensation current when the low voltage passes through, and k is more than or equal to 2.
In one embodiment, the compensation module 503 may perform reactive compensation on the power grid, including: and carrying out current inner loop control and voltage outer loop control on the power grid.
In one embodiment, the compensation module 503 may be specifically configured to perform current inner loop control according to the following formula:
wherein G isi(s) denotes a proportional resonance control and harmonic compensation controller, kpTo proportional gain, krAs reference resonant gain, krhControlling the gain factor (h-3, 5, 7), w, for resonance0For grid reference frequency, s represents the laplace transform factor.
In one embodiment, the compensation module 503 may be specifically configured to perform voltage outer loop control according to the following formula:
wherein,representing the grid reference current, v、vRespectively, the quadrature component of the grid voltage, GP(s) PI controller, G representing active powerQ(s) PI controller for reactive power, P active power, Q reactive power, P*Representing a given reference active power, Q*Representing a given reference reactive power.
From the above description, it can be seen that the embodiments of the present invention achieve the following technical effects: the compensation method of the photovoltaic grid-connected inverter is provided, reactive compensation is carried out under the condition that voltage drop occurs to a photovoltaic power grid, so that the technical problem that the single-phase photovoltaic inverter is too single in action due to the fact that the existing single-phase photovoltaic inverter can only achieve active output is solved, and the technical effect of effectively expanding the single-phase photovoltaic inverter is achieved.
It will be apparent to those skilled in the art that the modules or steps of the embodiments of the invention described above may be implemented by a general purpose computing device, they may be centralized on a single computing device or distributed across a network of multiple computing devices, and alternatively, they may be implemented by program code executable by a computing device, such that they may be stored in a storage device and executed by a computing device, and in some cases, the steps shown or described may be performed in an order different than that described herein, or they may be separately fabricated into individual integrated circuit modules, or multiple ones of them may be fabricated into a single integrated circuit module. Thus, embodiments of the invention are not limited to any specific combination of hardware and software.
The above description is only a preferred embodiment of the present invention, and is not intended to limit the present invention, and various modifications and changes may be made to the embodiment of the present invention by those skilled in the art. Any modification, equivalent replacement, or improvement made within the spirit and principle of the present invention should be included in the protection scope of the present invention.

Claims (8)

1. A compensation method for a photovoltaic grid-connected inverter is characterized by comprising the following steps:
determining whether the voltage of the power grid drops;
if the voltage of the power grid drops, determining active power and reactive power through reactive power compensation;
performing active compensation and reactive compensation on the power grid according to the active power and the reactive power;
wherein the active power and the reactive power are calculated according to the following formulas:
wherein P represents active power, Q represents reactive power, VdRepresenting the corresponding d-axis voltage, V, in the rotation coordinateqRepresenting the corresponding q-axis voltage, I, in the rotating coordinatedRepresenting d-axis active current, Iq=k(1-Vg)InWherein V isgRepresenting per unit instantaneous grid voltage, InThe current of the power grid in normal is shown, k is a relational expression of the power grid voltage and the reactive compensation current when the low voltage passes through, and k is more than or equal to 2.
2. The method of claim 1, wherein reactive compensation of the grid comprises:
and carrying out current inner loop control and voltage outer loop control on the power grid.
3. The method of claim 2, wherein the current inner loop control is performed according to the following equation:
wherein G isi(s) denotes a proportional resonance control and harmonic compensation controller, kpTo proportional gain, krAs reference resonant gain, krhControlling the gain factor, w, for resonance0For grid reference frequency, s represents the laplace transform factor.
4. The method of claim 2, wherein the voltage outer loop control is performed according to the following equation:
wherein,representing the grid reference current, v、vRespectively, the quadrature component of the grid voltage, GP(s) PI controller, G representing active powerQ(s) PI controller for reactive power, P active power, Q reactive power, P*Representing a given reference active power, Q*Representing a given reference reactive power.
5. A compensation device of a photovoltaic grid-connected inverter is characterized by comprising:
the judging module is used for determining whether the voltage of the power grid drops;
the determining module is used for determining active power and reactive power through reactive compensation when the condition that the voltage of the power grid drops is determined;
the compensation module is used for performing active compensation and reactive compensation on the power grid according to the active power and the reactive power;
the determining module is specifically configured to calculate active power and reactive power according to the following formulas:
wherein P represents active power, Q represents reactive power, VdRepresenting the corresponding d-axis voltage, V, in the rotation coordinateqRepresenting the corresponding q-axis voltage, I, in the rotating coordinatedRepresenting d-axis active current, Iq=k(1-Vg)InWherein V isgRepresenting per unit instantaneous grid voltage, InThe current of the power grid in normal is shown, k is a relational expression of the power grid voltage and the reactive compensation current when the low voltage passes through, and k is more than or equal to 2.
6. The apparatus of claim 5, wherein the compensation module performs reactive compensation on the grid, comprising: and carrying out current inner loop control and voltage outer loop control on the power grid.
7. The apparatus of claim 6, wherein the compensation module is specifically configured to perform current inner loop control according to the following equation:
wherein G isi(s) denotes a proportional resonance control and harmonic compensation controller, kpTo proportional gain, krAs reference resonant gain, krhControlling the gain factor, w, for resonance0For grid reference frequency, s represents the laplace transform factor.
8. The apparatus of claim 6, wherein the compensation module is specifically configured to perform voltage outer loop control according to the following formula:
wherein,representing the grid reference current, v、vRespectively, the quadrature component of the grid voltage, GP(s) PI controller, G representing active powerQ(s) PI controller for reactive power, P active power, Q reactive power, P*Representing a given reference active power, Q*Representing a given reference reactive power.
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CN104269878A (en) * 2014-07-29 2015-01-07 西安交通大学 Low-voltage ride through control method for grid-connected photovoltaic power generation system capable of providing reactive support
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WO2013163760A1 (en) * 2012-05-01 2013-11-07 Rajiv Kumar Varma Enhanced utilization of real power generating capacity of distributed generator (dg) inverters as statcom
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