CN113179025A - DC-DC converter parallel current-sharing control strategy - Google Patents

DC-DC converter parallel current-sharing control strategy Download PDF

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CN113179025A
CN113179025A CN202110520535.1A CN202110520535A CN113179025A CN 113179025 A CN113179025 A CN 113179025A CN 202110520535 A CN202110520535 A CN 202110520535A CN 113179025 A CN113179025 A CN 113179025A
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current
module
converter
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voltage
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周美兰
张志刚
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Harbin University of Science and Technology
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Harbin University of Science and Technology
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    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02MAPPARATUS FOR CONVERSION BETWEEN AC AND AC, BETWEEN AC AND DC, OR BETWEEN DC AND DC, AND FOR USE WITH MAINS OR SIMILAR POWER SUPPLY SYSTEMS; CONVERSION OF DC OR AC INPUT POWER INTO SURGE OUTPUT POWER; CONTROL OR REGULATION THEREOF
    • H02M3/00Conversion of dc power input into dc power output
    • H02M3/22Conversion of dc power input into dc power output with intermediate conversion into ac
    • H02M3/24Conversion of dc power input into dc power output with intermediate conversion into ac by static converters
    • H02M3/28Conversion of dc power input into dc power output with intermediate conversion into ac by static converters using discharge tubes with control electrode or semiconductor devices with control electrode to produce the intermediate ac
    • H02M3/325Conversion of dc power input into dc power output with intermediate conversion into ac by static converters using discharge tubes with control electrode or semiconductor devices with control electrode to produce the intermediate ac using devices of a triode or a transistor type requiring continuous application of a control signal
    • H02M3/335Conversion of dc power input into dc power output with intermediate conversion into ac by static converters using discharge tubes with control electrode or semiconductor devices with control electrode to produce the intermediate ac using devices of a triode or a transistor type requiring continuous application of a control signal using semiconductor devices only
    • H02M3/3353Conversion of dc power input into dc power output with intermediate conversion into ac by static converters using discharge tubes with control electrode or semiconductor devices with control electrode to produce the intermediate ac using devices of a triode or a transistor type requiring continuous application of a control signal using semiconductor devices only having at least two simultaneously operating switches on the input side, e.g. "double forward" or "double (switched) flyback" converter
    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02JCIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J1/00Circuit arrangements for dc mains or dc distribution networks
    • H02J1/10Parallel operation of dc sources
    • H02J1/102Parallel operation of dc sources being switching converters
    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02JCIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J13/00Circuit arrangements for providing remote indication of network conditions, e.g. an instantaneous record of the open or closed condition of each circuitbreaker in the network; Circuit arrangements for providing remote control of switching means in a power distribution network, e.g. switching in and out of current consumers by using a pulse code signal carried by the network
    • H02J13/00006Circuit arrangements for providing remote indication of network conditions, e.g. an instantaneous record of the open or closed condition of each circuitbreaker in the network; Circuit arrangements for providing remote control of switching means in a power distribution network, e.g. switching in and out of current consumers by using a pulse code signal carried by the network characterised by information or instructions transport means between the monitoring, controlling or managing units and monitored, controlled or operated power network element or electrical equipment
    • H02J13/00022Circuit arrangements for providing remote indication of network conditions, e.g. an instantaneous record of the open or closed condition of each circuitbreaker in the network; Circuit arrangements for providing remote control of switching means in a power distribution network, e.g. switching in and out of current consumers by using a pulse code signal carried by the network characterised by information or instructions transport means between the monitoring, controlling or managing units and monitored, controlled or operated power network element or electrical equipment using wireless data transmission

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  • Engineering & Computer Science (AREA)
  • Power Engineering (AREA)
  • Computer Networks & Wireless Communication (AREA)
  • Dc-Dc Converters (AREA)

Abstract

The invention provides a parallel current-sharing control strategy of a DC-DC converter, which comprises the following steps: obtaining an output voltage U through a voltage sampling moduleoWill U isoAnd a reference target voltage UrefMaking a difference, and outputting the voltage U through a PI controlleroIs stabilized at UrefBy UoDividing by the load impedance to obtain the total current Io(ii) a Then the output current I of each module is obtained through the current sampling moduleo1,Io2,...Ion. N currents pass through a current sharing control module based on the consistency theory, so that the n currents tend to be consistent IsameLike taking the mean value IoN; then the output current I of each module is measuredonAnd IsameMaking a difference, using the output result of PI controller as the modulation wave of PWM generator, and comparing the modulation wave with the PWM generatorThe carriers are jointly input into a PWM signal generated by a PWM generator to control the on-off of a switch tube of the converter, so that the current sharing is realized. The parallel current-sharing control strategy provided by the invention is based on a wireless technology and a consistency theory, adopts a double closed-loop control strategy, and can effectively realize the current average distribution of the parallel converters and the stability of the system.

Description

DC-DC converter parallel current-sharing control strategy
Technical Field
The invention relates to the technical field of electrical control, in particular to the field of control of a parallel circuit of a DC-DC converter.
Background
In the power electronic technology, a parallel DC-DC converter system has the characteristics of high capacity, high efficiency, high reliability and low cost. In recent years, with the development of new energy technology, parallel DC-DC converter systems have high reliability, redundancy, and easy modularization and capacity expansion, and the parallel DC-DC converters are widely used in various electric places. Under the ideal condition, the total load current of the parallel DC-DC converter system is equally divided by all the modules participating in parallel connection, and due to factors such as inconsistency of devices in the power supply module, unavoidable production process errors and the like, parameters of all the modules participating in parallel connection in the power supply system always have differences, and the differences can be only reduced as much as possible but cannot be completely avoided. In addition, the parameters of the modules may change with time and temperature, and the difference between the modules caused by external factors may be much larger than the original difference of the modules. Since all modules participating in parallel connection cannot be identical, if they are simply connected in parallel without applying any method, it cannot be guaranteed that the load current can be shared equally by the modules, and thus the output currents of the modules are different in magnitude, and may be zero. The inconsistency of the output current may cause many problems: firstly, the unbalanced distribution of the output current necessarily causes a part of the modules of the system to have larger output currents, and the corresponding current stress and voltage stress suffered by the modules are also larger. Converter modules bearing large voltage and current stresses for a long time can accelerate aging and damage speed, so that the stability and reliability of the whole system are reduced; when the output power of the system is larger, the output current of each module in the parallel system is inconsistent, so that the module with the largest output force reaches the maximum output current allowed by the module, the module is burnt out, and the reliability of the system is influenced; when the load is switched, the inconsistency of the modules can aggravate the phenomenon that the distribution of the output current among the modules is uneven, and the whole system can not run normally. Therefore, it is necessary to design a current sharing control strategy in the parallel DC-DC converter system.
Most of the existing current equalizing control strategies are centralized control. However, for the parallel DC-DC converter system, it is important to improve the robustness of the system. Distributed control of a multi-module system may improve the robustness of a closed-loop system. In a multi-module system, each module can achieve the same control objectives. For this reason, the invention applies a new control strategy based on the consistency theory to the strategy of the parallel DC-DC converter.
In addition, for the traditional parallel DC-DC converter system, the information transmission of the DC-DC converter is connected in a physical connection mode. The invention applies the wireless technology to the parallel DC-DC converter system to realize wireless information transmission and further realize the current sharing of the parallel modules.
Disclosure of Invention
The invention provides a parallel current-sharing control strategy of a DC-DC converter, which is used for solving the problem of current imbalance caused by different parameters of a DC-DC converter circuit and improving the stability of a system.
The invention provides a DC-DC converter parallel current sharing control strategy, which comprises at least two DC-DC converter modules connected between a direct current bus and a load in parallel, wherein each converter module comprises a DC-DC converter, a voltage and current sampling module, a transceiver module used for sending and receiving information, a current sharing control module based on a consistency theory and a modulation wave generating module, and is characterized by further comprising:
the voltage and current sampling module is used for collecting the current value I of each modulenAnd an output voltage Uo;InRepresenting the value of the output current of the nth module, UoRepresenting the output voltage of the parallel DC-DC converter system.
The transceiver module is used for receiving the current signal sent by the neighbor module and taking the current signal as a reference value of the self module; similarly, the transceiver module is also used to transmit the current value of its own module to the transceivers of two adjacent modules as the reference value of the two adjacent modules.
The current-sharing control module based on the consistency theory controls the modules according to the reference value, and adjusts the current by adjusting the duty ratio of the modules to finally realize the consistency of the current among the modules;
the parallel current sharing control strategy of the DC-DC converter is preferably as follows: the parallel DC-DC converter system based on the wireless technology adopts the wireless technology, and complex physical connecting lines among modules are eliminated. This will make the system more flexible. Each transducer has a transceiver module for transmitting and receiving information. A communication system of the wireless parallel DC-DC converter adopts a radio frequency technology.
According to the DC-DC converter parallel current sharing control strategy provided by the invention, on the basis of a wireless communication system, each DC-DC converter can share current through neighbor communication, so that current sharing is realized.
The DC-DC converter parallel current-sharing control strategy provided by the invention is based on a wireless technology and a consistency theory, adopts a double closed-loop control strategy, and can effectively realize the current balance of a parallel system and the stability of the system.
Drawings
Fig. 1 is a flowchart illustrating a parallel current sharing control strategy for a DC-DC converter according to an embodiment of the present invention;
fig. 2 is a schematic structural diagram of a wireless parallel DC-DC converter system according to an embodiment of the present invention;
fig. 3 is a schematic structural diagram of a parallel control current sharing strategy of a DC-DC converter according to an embodiment of the present invention;
FIG. 4 is a schematic diagram of a communication topology of three DC-DC converters provided by an embodiment of the present invention;
fig. 5 is a schematic diagram of a main circuit topology structure in which two phase-shifted full-bridge DC-DC converters are connected in parallel according to an embodiment of the present invention;
fig. 6 is a schematic diagram of a simulation current sharing result of two phase-shifted full-bridge DC-DC converters connected in parallel according to an embodiment of the present invention;
fig. 7 is a schematic diagram of a simulation result of a difference between output currents of two modules of two phase-shifted full-bridge DC-DC converters connected in parallel according to an embodiment of the present invention;
detailed description of the preferred embodiments
FIG. 1 is a flow chart of the strategy steps of the parallel control of the DC-DC converter according to the embodiment of the present invention, and the output voltage U is obtained by the voltage sampling moduleoWill U isoAnd a reference target voltage UrefMaking a difference, and outputting the voltage U through a PI controlleroIs stabilized at UrefBy UoDividing by the load impedance to obtain the total current Io. Then the output current I of each module is obtained through the current sampling moduleo1,Io2,…Ion. N currents are passed through a current equalizing control module based on consistency theory,make n currents tend to be consistent IsameLike taking the mean value IoAnd/n. The output current I of each moduleoiAnd IsameAnd (4) making a difference, wherein the difference value is used as a modulation wave of the PWM generator through an output result of the PI controller, and the modulation wave and the carrier wave are jointly input into the PWM wave generated by the PWM generator to control the on-off of a switching tube of the DC-DC converter, so that current sharing is realized.
Fig. 2 is a schematic structural diagram of a wireless parallel DC-DC converter system according to an embodiment of the present invention, and a parallel current sharing control strategy of a DC-DC converter according to an embodiment of the present invention includes n DC-DC converter modules connected in parallel between a DC bus and a load and a wireless transceiver provided on each module, and the modules are connected in parallel to supply power to the load. The communication connection is realized without adopting a physical connection mode, the trouble caused by wiring communication is avoided, and the reliability and the flexibility of the control system are improved.
Fig. 3 is a schematic diagram of a parallel current-sharing control strategy of a DC-DC converter according to an embodiment of the present invention, and a wireless parallel DC-DC converter system according to an embodiment of the present invention includes at least two DC-DC converter units (10) connected to a DC bus (20) in parallel, where in this embodiment, only three DC-DC converter modules (10) are taken as an example for description, and other numbers of DC-DC converter modules (10) are connected in the same manner.
Each converter module (10) comprises a voltage and current sampling module (1), a transceiver module (2), a current-sharing control module (3) based on a consistency theory, a modulation wave generating module (4), a PWM generating module (5) and a DC-DC converter main circuit (6).
The voltage and current sampling module (1) is used for collecting the current value I of each modulenAnd an output voltage Uo;InRepresenting the value of the output current of the nth module, UoRepresents the output voltage of the parallel DC-DC converter system; the transceiver module (2) is used for receiving the current signals sent by the adjacent modules, taking the current signals as the reference values of the modules per se, and transmitting the current signals to the current sharing control module (3) based on the consistency theory; similarly, the transceiver module (2) is also used for sending the current value of the self module to the transceiver of the two adjacent modules as the reference value of the two adjacent modulesAnd sending the data to a uniform flow control module (3) based on consistency theory in the adjacent modules.
The uniform current generated by the current-sharing control module (3) based on the consistency theory is used as a reference value of the module per se to generate a modulation wave signal through a PI controller, a PWM signal is generated through a PWM generator (5) to drive the on-off of a switch tube in a main circuit (6) to adjust the magnitude of the output current, and finally the current consistency among the modules is realized.
On the basis of the technical aspect, the parallel current sharing control strategy of the DC-DC converter further comprises the following steps: the current sharing problem of the parallel DC-DC converter is solved by applying a consistency theory.
In order to realize current sharing among a plurality of converters, a double closed-loop control strategy is adopted. And aiming at the voltage loop, the output generated by adopting a PI control strategy is used as a reference signal of the current loop. And then designing a PI control strategy based on the consistency theory to control the current loop.
The control targets of the parallel DC-DC converters are described as follows:
Figure BDA0003063760340000041
wherein N isiRepresenting the communication neighbor set of the ith DC-DC converter.
Wherein, the consistency theory is introduced as follows:
assume that there are N modules and that the module number belongs to a finite value N ═ 1. Without loss of generality, we assume that the dynamics of module i are described as:
Figure BDA0003063760340000042
where x denotes the state of the module i, uiIs a control input. The meaning of consistency is to design a distributed control strategy which only uses information of adjacent modules to realize state consistency, namely | xi-xj|→0。
Further, the description about the graph theory is as follows. Drawing (A)Theory is generally used to describe some kind of relationship between individuals. The following are some basic methods of defining graphics and related mathematical structures. The figure is defined as G ═ (V, E, a), where
Figure BDA0003063760340000051
And V ═ V (V)iI 1, 2.., n) denotes a set of vertices, and between two vertices, there is a set of edges. A ═ aij]Is the weighted adjacency matrix of the graph. Vertices are typically used to represent individuals in a physical system, while edges represent relationships between them. If, (v)i,vj)∈E,
Figure BDA0003063760340000052
G is said to be unidirectional. Otherwise, if (v)i,vj)∈E,(vj,vi) E, we call undirected. The elements of the adjacency matrix A are defined as vxyv yx1, otherwise vxyv yx0. The out-degree of the vertex is
Figure BDA0003063760340000053
The matrix D is then diag (D)1,d2,...,dn). The laplace matrix for G is: l ═ D-a.
Fig. 4 is a schematic diagram of a communication topology structure of three DC-DC converters according to an embodiment of the present invention, which models a DC-DC converter and a communication system thereof as an undirected graph, and fig. 4 shows a communication topology of three converters.
Wherein, the current reference signal is assumed to be
Figure BDA0003063760340000054
i ∈ Γ. Since the access of the converter to each adjacent module is based on the consistency theory, each converter only gives an algorithm for consistency control:
Figure BDA0003063760340000055
wherein alpha isi、βi、γi>0 is a proportional gain, eiIs a voltage coordinated tracking error, an
Figure BDA0003063760340000056
Is a current cooperative error.
For a parallel DC-DC converter system, if the controller is designed to (4), the reference voltage can be tracked with the actual voltage while achieving current uniformity.
As shown in fig. 5, the embodiment of the present invention provides a schematic diagram of a main circuit of two phase-shifted full-bridge DC-DC converters connected in parallel. The specific parameters are as follows: input voltage Uin600V, output voltage UoThe capacitance C of the bridge arm parallel connection is 0.47 muf, the capacitance C of the transformer primary winding series connection is 40 muf, the inductance L of the rear end rectifying part is 500 muh, the load resistance R is 1 Ω, the equivalent impedance of the upper module is 1 Ω, and the equivalent impedance of the lower module is 0.5 Ω for the purpose of distinguishing the inherent difference of the upper and lower modules.
As shown in fig. 6, a schematic diagram of a simulation current sharing result of two phase-shifted full-bridge DC-DC converters provided in the embodiment of the present invention connected in parallel is shown. It can be seen that the output currents of the upper and lower modules are all stabilized at 60A, the total current is 120A, a good current sharing effect is achieved, and the correctness of the current sharing control system is verified.
As shown in fig. 7, a schematic diagram of a simulation result of a difference between output currents of two modules of two phase-shifted full-bridge DC-DC converters provided in the embodiment of the present invention is shown. After the current sharing is stable, the maximum absolute value of the current difference value of the two modules is smaller than 1A, and in a system with the total current of 120A, the current sharing error is smaller than one percent, so that the correctness and the effectiveness of the current sharing strategy are verified.
In the embodiment of the invention, a consistency theory control algorithm, a voltage-current double closed-loop controller and a wireless technology are preferably adopted. The communication connection is realized without adopting a physical connection mode, the trouble caused by wiring is reduced, and the reliability of the control system is improved.
The working process of the parallel current sharing control strategy of the DC-DC converter provided by the embodiment of the invention is as follows: firstly, a voltage and current sampling module in each converter unit collects output current and output voltage in each module, the output voltage leads the output voltage to tend to be stable through a PI controller, and the output current is sent to a transceiver of the module; then, the transceiver modules broadcast, the current signals received by the transceivers of two adjacent modules are processed by a current sharing controller of the consistency theory, so that the difference between the output current of each module and the average current value is generated by a modulation wave through a PI controller, finally, the modulation wave and a carrier wave enter a PWM generator module together to generate PWM signals, and the PWM signals are sent to a main circuit to realize the consistency of the current of each module, namely, the current sharing of the parallel modules is realized.
From the above analysis, the embodiment of the invention provides a parallel current sharing control strategy for the DC-DC converters, and the strategy can be used for various situations of power supply or charging of the parallel DC-DC converters. The parallel control system of the DC-DC converter has the following advantages:
1. through adopting wireless technology communication for when carrying out information transmission between each module, avoided all negative effects that traditional physics wiring brought, improved the stability of system, make entire system more nimble.
2. By adopting a consistency theoretical control algorithm, the distributed control strategy replaces most of the existing centralized control strategies, such as a master-slave current sharing method, a maximum current method and the like. The robustness of the system can be further improved.
The DC-DC converter parallel current-sharing control strategy provided by the embodiment of the invention is improved on the basis of the traditional wired centralized control strategy, and the wireless technology and the distributed control idea are added, so that some negative effects caused by wiring can be avoided, and some problems caused by centralized control can also be avoided. For example, in the master-slave current sharing method, once the master module fails, the whole system cannot work normally. The reliability of the system can be greatly improved, the circulation current is restrained, the current sharing is realized, and the defects of the prior control schemes are overcome.
The above embodiments are only used to illustrate the technical solution of the present invention, and not to limit the same; although the technical solutions described with reference to the foregoing embodiments are modified or some or all of the technical features are 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 (5)

1. A DC-DC converter parallel current sharing control strategy comprises at least two DC-DC converter modules connected between a direct current bus and a load in parallel, wherein each converter module comprises a DC-DC converter, a voltage and current sampling module, a transceiver module used for sending and receiving information, a current sharing control module based on a consistency theory and a modulation wave generation module, and the control strategy of parallel current sharing comprises the following steps:
the method comprises the following steps: obtaining an output voltage U through a voltage sampling moduleoWill U isoAnd a reference target voltage UrefMaking a difference, and outputting the voltage U through a PI controlleroIs stabilized at UrefBy UoDividing by the load impedance to obtain the total current Io
Step two: obtaining the output current I of each module through a current sampling moduleo1,Io2,…IonN currents pass through a current sharing control module based on the consistency theory, so that the n currents tend to be consistent IsameLike taking the mean value Io/n;
Step three: the output current I of each moduleonAnd IsameAnd (4) making a difference, wherein the difference value is used as a modulation wave of the PWM generator through an output result of the PI controller, and the modulation wave and the carrier wave are jointly input into the PWM wave generated by the PWM generator to control the on-off of a switching tube of the DC-DC converter, so that current sharing is realized.
2. The parallel current sharing control strategy of the DC-DC converter according to claim 1, characterized in that: when the consistency theory is applied to solve the current sharing problem of the parallel DC-DC converters, a double closed-loop control strategy is adopted to realize the current sharing among a plurality of converters; aiming at the voltage loop, the output generated by adopting a PI control strategy is used as a reference signal of the current loop; then, a PI control strategy based on a consistency theory is designed to control the current loop, and the control target of the parallel DC-DC converter is described as follows:
Ui=Uk=Uref,
Figure FDA0003063760330000011
wherein N isiRepresenting the communication neighbor set of the ith DC-DC converter.
3. The parallel current sharing control strategy of the DC-DC converter according to claim 1, characterized in that: the theory of consistency is presented below:
assuming that there are n modules and that the module number belongs to the finite value Γ ═ 1.·, n ], without loss of generality we assume that the dynamics of module i are described as:
Figure FDA0003063760330000012
where x denotes the state of the module i, uiIs a control input; the meaning of consistency is to design a distributed control strategy which only uses adjacent information to realize state consistency, namely | xi-xj|→0。
4. The parallel current sharing control strategy of the DC-DC converter according to claim 2, characterized in that: assuming that the current reference signal is
Figure FDA0003063760330000021
i belongs to gamma; since the access of the converter to each neighbor is based on the consistency theory, each converter only gives an algorithm for consistency control:
Figure FDA0003063760330000022
Figure FDA0003063760330000023
Figure FDA0003063760330000024
wherein alpha isi、βi、γi>0 is a proportional gain, eiIs a voltage coordinated tracking error, an
Figure FDA0003063760330000025
Is a current cooperative error.
5. The parallel current sharing control strategy of the DC-DC converter according to claim 3, characterized in that: the DC-DC converter parallel current-sharing control strategy adopts a consistency theoretical control algorithm, voltage and current double closed-loop control and a wireless technology; the communication is carried out without adopting a physical connection mode, so that the trouble caused by wiring is avoided, and the reliability and the flexibility of the control system are improved; the control system design is based on a consistency theoretical control algorithm, and can track the reference voltage by using the actual voltage and realize the current consistency at the same time.
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CN114336574A (en) * 2021-11-02 2022-04-12 陕西科技大学 Parallel current-sharing control method for direct-current power supply modules
CN114362519A (en) * 2021-12-31 2022-04-15 华中科技大学 Efficiency optimization method and system for two-phase interleaved parallel DC-DC converter
CN114678858A (en) * 2022-05-26 2022-06-28 安徽金屹能源发展有限公司 Multi-group power supply parallel current-sharing circuit

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CN112713581A (en) * 2020-12-17 2021-04-27 华中科技大学 Distributed fixed-time voltage regulation and current equalization method and system for direct-current micro-grid
CN214337798U (en) * 2020-11-16 2021-10-01 哈尔滨理工大学 DC-DC converter parallel current-sharing control system

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US20190305560A1 (en) * 2018-04-03 2019-10-03 Sungrow Power Supply Co., Ltd. Medium And High Voltage Energy Conversion System
CN214337798U (en) * 2020-11-16 2021-10-01 哈尔滨理工大学 DC-DC converter parallel current-sharing control system
CN112713581A (en) * 2020-12-17 2021-04-27 华中科技大学 Distributed fixed-time voltage regulation and current equalization method and system for direct-current micro-grid

Cited By (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN114336574A (en) * 2021-11-02 2022-04-12 陕西科技大学 Parallel current-sharing control method for direct-current power supply modules
CN114362519A (en) * 2021-12-31 2022-04-15 华中科技大学 Efficiency optimization method and system for two-phase interleaved parallel DC-DC converter
CN114362519B (en) * 2021-12-31 2023-10-24 华中科技大学 Efficiency optimization method and system for two-phase staggered parallel DC-DC converter
CN114678858A (en) * 2022-05-26 2022-06-28 安徽金屹能源发展有限公司 Multi-group power supply parallel current-sharing circuit

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