CN111162555B - Reliability evaluation method and device for MMC flexible direct current converter valve and converter valve design method and device - Google Patents
Reliability evaluation method and device for MMC flexible direct current converter valve and converter valve design method and device Download PDFInfo
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Abstract
The invention relates to a reliability evaluation method and a reliability evaluation device for an MMC flexible direct-current converter valve and a converter valve design method and device, and belongs to the technical field of converter valve reliability evaluation. The method fully considers two conditions of submodule redundancy exhaustion failure and converter valve failure caused by single device failure, uses the condition that a converter valve body loses primary redundancy caused by key element failure as a first class, uses the condition that the converter valve body loses failure caused by key element failure as a second class, and integrates the calculated reliability of the converter valve with the reliability of bridge arms of different classes, so that the reliability evaluation of the converter valve can comprehensively reflect the importance of each key component in the reliability of the converter valve body, the key factors influencing the reliability of the converter valve body can be identified, the failure rate constraint condition of each key component can be accurately determined according to the requirement of the failure rate of the converter valve, and the design precision of the converter valve is improved.
Description
Technical Field
The invention relates to a reliability evaluation method and a reliability evaluation device for an MMC flexible direct-current converter valve and a converter valve design method and device, and belongs to the technical field of converter valve reliability evaluation.
Background
The Modular Multilevel Converter (MMC) is a mainstream technical route of flexible direct-current transmission engineering, and has the advantages of high modularization degree, good expansibility, low switching frequency, low loss, smooth output waveform, high quality and the like. At present, a plurality of flexible direct current transmission projects are built in China, and a north flexible direct current power grid test demonstration project, a Shangdong and Guangxi ultrahigh voltage multi-terminal direct current demonstration project of power transmission of an Udongde power station, a flexible direct current transmission demonstration project of wind power in three gorges such as the east sea and the like are built, and a plurality of flexible direct current projects and a mixed direct current transmission project are planned. The flexible direct current transmission technology is developing at a high speed in China.
At present, research on the reliability of the flexible direct current converter valve body is also carried out synchronously, but at present, the main focus is on the condition that a single key component fails to cause the flexible direct current converter valve to lose redundancy until the redundancy is exhausted and fails. For example, chinese patent application publication No. CN110112944A discloses a reliability analysis method for a modular multilevel converter based on Copula function, which considers inter-module correlation and element polymorphism, establishes an MMC reliability model based on a half-bridge structure, and further calculates MMC bridge arm reliability in a scenario where no redundancy is configured and a redundancy sub-module is configured based on the reliability model. Although this solution enables an analysis of the reliability of the converter valve sub-modules. However, the method does not consider the conditions of converter valve body failure caused by single component failure and converter valve body failure caused by redundant exhaustion, so that reliability analysis cannot accurately reflect the reliability of the converter valve, and further the design work of the converter valve is influenced.
Disclosure of Invention
The invention aims to provide a reliability evaluation method and a device for an MMC flexible direct current converter valve, which aim to solve the problem that the reliability evaluation result of the existing converter valve is not accurate; meanwhile, the invention also provides a design method of the MMC flexible direct current converter valve, so as to improve the accuracy of design.
The invention provides a reliability evaluation method for an MMC flexible direct current converter valve, which aims to solve the technical problems, and the reliability evaluation method comprises the following steps:
determining the number of bridge arms and key components of a converter valve to be evaluated, and calculating the reliability of a single bridge arm when each category of key components fails according to the category to which the key components belong, wherein the category is determined according to the influence of the failure of each key component in a converter valve submodule on a converter valve body, the first category is that the converter valve body loses primary redundancy due to the failure of the key components, and the second category is that the converter valve body loses failure due to the failure of key components;
and evaluating the reliability of the converter valve according to the reliability of a single bridge arm when each category of key components fails and the number of the bridge arms of the converter valve.
The invention also provides a reliability evaluation device of the MMC flexible direct current converter valve, which comprises a memory, a processor and a computer program which is stored on the memory and runs on the processor, wherein the processor is coupled with the memory, and the reliability evaluation method of the MMC flexible direct current converter valve is realized when the processor executes the computer program.
The method fully considers two conditions of submodule redundancy depletion failure and converter valve failure caused by single device failure, uses the condition that a converter valve body loses primary redundancy due to failure of a key element device as a first class, uses the condition that the converter valve body loses failure due to failure of the key element device as a second class, and integrates the calculated reliability of the converter valve with the reliability of bridge arms of different classes, so that the reliability evaluation of the converter valve can comprehensively reflect the importance of each key element in the reliability of the converter valve body, the identification of key factors influencing the reliability of the converter valve body is facilitated, and the reliability evaluation result is more accurate.
Further, in order to improve the reliability analysis of a single bridge arm, the reliability of the single bridge arm when the first type of component fails adopts a calculation formula as follows:
wherein R isarm1Reliability of a single bridge arm in the event of failure of a first type of component, Rsm1The reliability of a single sub-module when the first type of component fails, N is the number of sub-modules in a single bridge arm, and N is the number of sub-modules in a single bridge arm0For the number of submodules, lambda, not containing redundancy in a single bridge armsiFailure rate of the i-th device belonging to the first type of device, aiThe number of the ith devices of the first type of components in a single sub-module is m, the total number of the devices of the first type of components in the single sub-module is m, and t is time.
Further, in order to improve the reliability analysis of a single bridge arm, the reliability of the single bridge arm when the second type of component fails adopts a calculation formula as follows:
Rarm2＝(Rsm2)N
wherein R isarm2For a single bridge in the event of failure of a component of the second typeReliability of the arm, Rsm2The reliability of a single sub-module when the first type of component fails, N is the number of sub-modules in a single bridge arm, and lambdakiFailure rate of the i-th device belonging to the second type of device, biThe number of the ith devices of the second type of devices in the single submodule is n, the total number of the devices of the second type of devices in the single submodule is n, and t is time.
Further, the reliability of the converter valve adopts a calculation formula as follows:
Rvalve＝(Rarm1·Rarm2)l
Rvalvefor reliability of converter valves, Rarm1Reliability of a single bridge arm in the event of failure of a first type of component, Rarm2And l is the number of the bridge arms of a single converter valve.
Further, the key components comprise an IGBT, an IGBT driver, a bypass switch and an energy-taking power supply, wherein the IGBT and the IGBT driver are of a first type and cannot cause the converter valve to be locked, and the bypass switch and the energy-taking power supply are of a second type and can cause the converter valve to be locked.
The invention also provides a design method of the MMC flexible direct current converter valve, which comprises the following steps:
determining the number of bridge arms and key components of a converter valve to be evaluated, and calculating the reliability of a single bridge arm when each category of key components fails according to the category to which the key components belong, wherein the category is determined according to the influence of the failure of each key component in a converter valve submodule on a converter valve body, the first category is that the converter valve body loses primary redundancy due to the failure of the key components, and the second category is that the converter valve body loses failure due to the failure of key components;
2) evaluating the reliability of the converter valve according to the reliability of a single bridge arm when each category of key components fails and the number of the bridge arms of the converter valve;
3) determining the failure rate of each key component in the converter valve according to the failure rate of the converter valve required by the design of the direct-current converter valve and the reliability of the converter valve, and selecting the key component meeting the efficiency requirement according to the determined failure rate to design the converter valve.
The method fully considers two conditions of submodule redundancy exhaustion failure and converter valve failure caused by single device failure, uses the condition that a converter valve body loses primary redundancy caused by key element failure as a first class, uses the condition that the converter valve body loses failure caused by key element failure as a second class, and integrates the calculated reliability of the converter valve with the reliability of bridge arms of different classes, so that the reliability evaluation of the converter valve can comprehensively reflect the importance of each key component in the reliability of the converter valve body, the failure rate constraint condition of each key component can be accurately determined according to the requirement of the failure rate of the converter valve, and the design precision of the converter valve is improved.
Further, when the first-class component fails, the reliability model of the single bridge arm adopts a calculation formula as follows:
wherein R isarm1Reliability of a single bridge arm in the event of failure of a first type of component, Rsm1The reliability of a single sub-module when the first type of component fails, N is the number of sub-modules in a single bridge arm, and N is the number of sub-modules in a single bridge arm0For the number of submodules, lambda, not containing redundancy in a single bridge armsiFailure rate of the i-th device belonging to the first type of device, aiThe number of the ith devices of the first type of components in a single sub-module is m, the total number of the devices of the first type of components in the single sub-module is m, and t is time.
Further, when the second type of component fails, the reliability of a single bridge arm adopts a calculation formula as follows: :
Rarm2＝(Rsm2)N
wherein R isarm2For the reliability of a single bridge arm in the event of failure of a component of the second type, Rsm2The reliability of a single sub-module when the first type of component fails, N is the number of sub-modules in a single bridge arm, and lambdakiFailure rate of the i-th device belonging to the second type of device, biThe number of the ith devices of the second type of devices in the single submodule is n, the total number of the devices of the second type of devices in the single submodule is n, and t is time.
Further, the reliability of the converter valve adopts a calculation formula as follows:
Rvalve＝(Rarm1·Rarm2)l
Rvalvefor reliability of converter valves, Rarm1Reliability of a single bridge arm in the event of failure of a first type of component, Rarm2And l is the number of the bridge arms of a single converter valve.
Drawings
FIG. 1 is a flow chart of a design method of an MMC flexible direct current converter valve of the present invention;
fig. 2 is a schematic structural diagram of an MMC topological flexible dc converter valve used in the embodiment of the present invention.
Detailed Description
The following further describes embodiments of the present invention with reference to the drawings.
Embodiments of the design method
The method comprises the following steps of firstly considering two conditions of submodule redundancy depletion failure and converter valve failure caused by single device failure, taking the condition that a converter valve body loses primary redundancy caused by failure of a key element device as a first class, and taking the condition that the converter valve body loses failure caused by failure of a key element device as a second class; and finally, determining failure rate constraint conditions of all key components according to the reliability of the converter valve according to the design requirement of the failure rate of the converter valve so as to improve the design precision of the converter valve. The detailed flow of the method is shown in fig. 1, and the present invention is described in detail below by taking a typical MMC topology flexible dc converter valve in fig. 2 as an example.
1. And classifying the key components.
The influence of the flexible direct current converter valve body is classified according to the failure of key components, and the key components causing the failure of the flexible direct current converter valve body are used as types, and the flexible direct current converter valve body loses one-level redundancy and is used as another type. For the converter valve, key components can be a switch device, a bypass switch, a bypass thyristor, a direct current capacitor, a voltage-sharing resistor, a submodule control board card, a driver, an optical fiber and the like, and specific selection can be determined according to actual research precision and complexity and then comprehensive consideration is carried out. For the converter valve adopting the half-bridge sub-module topological structure, key elements considered by the converter valve are an IGBT, an IGBT driver, a bypass switch and an energy-taking power supply. Because the bridge arm loses the 1-level redundant sub-module due to the failure of the IGBT, the IGBT drive and other components, and the bypass switch and the energy-taking power supply fail to operate, the flexible direct-current converter valve is locked, the IGBT and the IGBT drive are used as the first type of components, and the bypass switch and the energy-taking power supply are used as the second type of components.
2. And establishing a reliability model of a single bridge arm when the first and second key components fail.
The reliability of each key component can be described by an exponential function if the failure rates of the IGBT, the IGBT drive, the bypass switch and the energy-taking power supply are respectively lambdas1、λs2、λk1、λk1Expressed, the reliability function of each key component can be expressed as:
for the converter valve in fig. 2, there are N264 submodules in a single bridge arm, where the redundancy number N is not included0244, the number of redundant sub-modules is N-N0＝264-244＝Considering that the number of IGBTs in a single half-bridge sub-module is 2 and the number of IGBTs driving is 1, when a first type of key components fails (referred to as working condition 1 for short), the reliability of the sub-module and the reliability of a single bridge arm are respectively as follows:
when a second type of key component fails (working condition 2 for short), the reliability of the sub-module and the reliability of a single bridge arm are respectively as follows:
according to the analysis of the converter valve shown in fig. 2, it can be determined that, for a general converter valve, reliability models of a single bridge arm corresponding to different working conditions are respectively as follows:
Rarm2＝(Rsm2)N
wherein R isarm1Reliability of single bridge arm when first type of component fails (short for working condition 1)Property, Rsm1The reliability of a single sub-module when the first type of component fails, N is the number of sub-modules in a single bridge arm, and N is the number of sub-modules in a single bridge arm0For the number of submodules, lambda, not containing redundancy in a single bridge armsiFailure rate of the i-th device belonging to the first type of device, aiThe number of the ith devices of the first type of components in a single sub-module, m is the total number of the devices of the first type of components in the single sub-module, t is time, Rarm2For the reliability of a single bridge arm when the second type of component fails (working condition 2 for short), Rsm2Reliability of a single submodule in the event of failure of a component of the first type, lambdakiFailure rate of the i-th device belonging to the second type of device, biThe number of the ith devices of the second type of devices in the single sub-module is n, and the total number of the devices of the second type of devices in the single sub-module is n.
3. And establishing a reliability model of the converter valve.
The reliability model of the converter valve, which is established by the invention, comprehensively considers the reliability models of the single bridge arm corresponding to the working condition 1 and the working condition 2, and comprises the following concrete models
Rvalve＝(Rarm1·Rarm2)l
RvalveFor the reliability of the converter valve, l is the number of bridge arms of a single converter valve.
For the converter valve in this embodiment, there are a total of l ═ 6 bridge arms, and then the reliability of the flexible dc converter valve body is:
4. and designing the converter valve according to the failure rate of the key component determined by the reliability model of the converter valve.
Determining the failure rate of each key component in the converter valve according to the failure rate of the converter valve required by the design of the direct-current converter valve and a reliability model of the converter valve, and selecting the key component meeting the efficiency requirement according to the determined failure rate to design the converter valve.
Assuming flexible DC conversion required by a projectThe failure rate of the flow valve is not more than 0.23 times per year, namely the failure rate lambda of the flexible direct current converter valvevalve_aim26255.71FIT, where 1FIT is 1' 10-9/h。
Then for a single leg, its failure rate λarm_aim＝λvalve_aim4375.95FIT at/6. Assume that condition 1 and condition 2 do not occur simultaneously. Under the condition of working condition 1, the reliability of the bridge arm can be simplified as follows:
the Mean Time To Failure (MTTF) of the bridge arm of the flexible direct current converter valve is
If the failure rate of the flexible direct current converter valve is not more than 0.23 times/year, the following steps are carried out:
namely, it is
2λs1+λs2≤361.89FIT
Therefore, if the failure rate of the flexible direct current converter valve is not more than 0.23 times per year, the failure rate of the IGBT and the IGBT drive needs to meet the following requirements:
2λs1+λs2≤361.89FIT
under the condition of working condition 2, the reliability of the bridge arm can be simplified as follows:
the Mean Time To Failure (MTTF) of the bridge arm of the flexible direct current converter valve is
If the failure rate of the flexible direct current converter valve is not more than 0.23 times/year, the following steps are carried out:
λarm_aim≥N(λk1+λk2)
therefore, if the failure rate of the flexible direct current converter valve is not more than 0.23 times/year, the failure rate of the bypass switch and the energy-taking power supply is as follows:
λk1+λk2≤16.58FIT
by combining the above analysis, it can be known that the failure rate of the flexible direct current converter valve in a certain practical engineering meets the requirement that the failure rate is not more than 0.23 times per year, and then the key components and parts need to meet the following requirements:
through the process, the failure rate constraint conditions of each key component of the converter valve can be accurately obtained according to the requirements of the converter valve on the failure rate, the response engineering design conditions are determined according to the actual engineering conditions of the key components, and the design of the converter valve is realized.
Embodiments of reliability evaluation method
The reliability evaluation method for the MMC flexible direct current converter valve comprises the following steps:
1) classifying the key components according to the influence of the failure of each key component in the converter valve submodule on a converter valve body, wherein the failure of the key component causes the loss of primary redundancy of the converter valve body, and the failure of the key component causes the failure of the converter valve body, and is classified into a first class and a second class;
2) respectively establishing a reliability model of a single bridge arm when the first type and the second type of key components fail according to the category of the key components and the failure rate of each key component;
3) and determining a reliability model of the converter valve by integrating the reliability model of a single bridge arm when the two types of key components fail and the number of the bridge arms of the converter valve, and evaluating the reliability of the converter valve according to the reliability model.
The above process has been described in detail in the embodiment of the converter valve design method, and is not described herein again.
Embodiments of the reliability evaluation device
The reliability evaluation device for the MMC flexible direct current converter valve comprises a memory, a processor and a computer program which is stored on the memory and runs on the processor, wherein the processor is coupled with the memory, and the reliability evaluation method for the MMC flexible direct current converter valve is realized when the processor executes the computer program.
As will be appreciated by one skilled in the art, embodiments of the present application may be provided as a method, system, or computer program product. Accordingly, the present application may take the form of an entirely hardware embodiment, an entirely software embodiment or an embodiment combining software and hardware aspects. Furthermore, the present application may take the form of a computer program product embodied on one or more computer-usable storage media (including, but not limited to, disk storage, CD-ROM, optical storage, and the like) having computer-usable program code embodied therein.
The present application is described with reference to flowchart illustrations and/or block diagrams of methods, apparatus (systems), and computer program products according to embodiments of the application. It will be understood that each flow and/or block of the flow diagrams and/or block diagrams, and combinations of flows and/or blocks in the flow diagrams and/or block diagrams, can be implemented by computer program instructions. These computer program instructions may be provided to a processor of a general purpose computer, special purpose computer, embedded processor, or other programmable data processing apparatus to produce a machine, such that the instructions, which execute via the processor of the computer or other programmable data processing apparatus, create means for implementing the functions specified in the flowchart flow or flows and/or block diagram block or blocks.
These computer program instructions may also be stored in a computer-readable memory that can direct a computer or other programmable data processing apparatus to function in a particular manner, such that the instructions stored in the computer-readable memory produce an article of manufacture including instruction means which implement the function specified in the flowchart flow or flows and/or block diagram block or blocks.
These computer program instructions may also be loaded onto a computer or other programmable data processing apparatus to cause a series of operational steps to be performed on the computer or other programmable apparatus to produce a computer implemented process such that the instructions which execute on the computer or other programmable apparatus provide steps for implementing the functions specified in the flowchart flow or flows and/or block diagram block or blocks.
While the present invention has been described with reference to the embodiments shown in the drawings, the present invention is not limited to the embodiments, which are illustrative and not restrictive, and it will be apparent to those skilled in the art that various changes and modifications can be made therein without departing from the spirit and scope of the invention as defined in the appended claims.
Claims (8)
1. The reliability evaluation method for the MMC flexible direct current converter valve is characterized by comprising the following steps of:
determining the number of bridge arms and key components of a converter valve to be evaluated, and calculating the reliability of a single bridge arm when each category of key components fails according to the category to which the key components belong, wherein the category is determined according to the influence of the failure of each key component in a converter valve submodule on a converter valve body, the first category is that the converter valve body loses primary redundancy due to the failure of the key components, and the second category is that the converter valve body loses failure due to the failure of key components;
evaluating the reliability of the converter valve according to the reliability of a single bridge arm when each category of key components fails and the number of the bridge arms of the converter valve;
the reliability of a single bridge arm when the first type of component fails adopts a calculation formula as follows:
wherein R isarm1Reliability of a single bridge arm in the event of failure of a first type of component, Rsm1The reliability of a single sub-module when the first type of component fails, N is the number of sub-modules in a single bridge arm, and N is the number of sub-modules in a single bridge arm0For the number of submodules, lambda, not containing redundancy in a single bridge armsiFailure rate of the i-th device belonging to the first type of device, aiThe number of the ith devices of the first type of components in a single sub-module is m, the total number of the devices of the first type of components in the single sub-module is m, and t is time.
2. The reliability evaluation method for the MMC flexible direct current converter valve according to claim 1, characterized in that the reliability of a single bridge arm when the second type of component fails adopts a calculation formula as follows:
Rarm2＝(Rsm2)N
wherein R isarm2For the reliability of a single bridge arm in the event of failure of a component of the second type, Rsm2As a component of the second kindReliability of single sub-module when a piece fails, N is the number of sub-modules in a single bridge arm, and lambdakiFailure rate of the i-th device belonging to the second type of device, biThe number of the ith devices of the second type of devices in the single submodule is n, the total number of the devices of the second type of devices in the single submodule is n, and t is time.
3. The MMC flexible direct current converter valve reliability evaluation method of claim 1 or 2, wherein the reliability of the converter valve adopts a calculation formula as follows:
Rvalve＝(Rarm1·Rarm2)l
Rvalvefor reliability of converter valves, Rarm1Reliability of a single bridge arm in the event of failure of a first type of component, Rarm2And l is the number of the bridge arms of a single converter valve.
4. The MMC flexible direct current converter valve reliability evaluation method of claim 1, characterized in that the key components comprise IGBT, IGBT drive, bypass switch and energy-taking power supply, wherein IGBT and IGBT drive are of a first type, and bypass switch and energy-taking power supply are of a second type.
5. A design method of an MMC flexible direct current converter valve is characterized by comprising the following steps:
determining the number of bridge arms and key components of a converter valve to be evaluated, and calculating the reliability of a single bridge arm when each category of key components fails according to the category to which the key components belong, wherein the category is determined according to the influence of the failure of each key component in a converter valve submodule on a converter valve body, the first category is that the converter valve body loses primary redundancy due to the failure of the key components, and the second category is that the converter valve body loses failure due to the failure of key components;
evaluating the reliability of the converter valve according to the reliability of a single bridge arm when each category of key components fails and the number of the bridge arms of the converter valve;
determining the failure rate of each key component in the converter valve according to the failure rate of the converter valve required by the design of the direct-current converter valve and the reliability of the converter valve, and selecting the key component meeting the efficiency requirement according to the determined failure rate to design the converter valve;
the reliability of a single bridge arm when the first type of component fails adopts a calculation formula as follows:
wherein R isarm1Reliability of a single bridge arm in the event of failure of a first type of component, Rsm1The reliability of a single sub-module when the first type of component fails, N is the number of sub-modules in a single bridge arm, and N is the number of sub-modules in a single bridge arm0For the number of submodules, lambda, not containing redundancy in a single bridge armsiFailure rate of the i-th device belonging to the first type of device, aiThe number of the ith devices of the first type of components in a single sub-module is m, the total number of the devices of the first type of components in the single sub-module is m, and t is time.
6. The method for designing the MMC flexible direct current converter valve according to claim 5, wherein a calculation formula adopted by the reliability of a single bridge arm when the second type of component fails is as follows:
Rarm2＝(Rsm2)N
wherein R isarm2For the reliability of a single bridge arm in the event of failure of a component of the second type, Rsm2The reliability of a single submodule when the second type of component fails, N is the number of submodules in a single bridge arm, and lambda iskiFailure rate of the i-th device belonging to the second type of device, biThe number of the ith devices of the second type of devices in the single submodule is n, the total number of the devices of the second type of devices in the single submodule is n, and t is time.
7. The MMC flexible direct current converter valve design method of claim 5 or 6, characterized in that the converter valve reliability employs the calculation formula:
Rvalve＝(Rarm1·Rarm2)l
Rvalvefor reliability of converter valves, Rarm1Reliability of a single bridge arm in the event of failure of a first type of component, Rarm2And l is the number of the bridge arms of a single converter valve.
8. An MMC flexible direct current converter valve reliability evaluation device, characterized in that, this evaluation device includes memory and treater, and the computer program stored on the said memory and run on the said treater, the said treater is coupled with the said memory, the said treater realizes the MMC flexible direct current converter valve reliability evaluation method according to any one of claims 1-4 when executing the said computer program.
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| CN107633112A (en) * | 2017-08-17 | 2018-01-26 | 全球能源互联网研究院有限公司 | A kind of MMC analysis method for reliability and device |
| CN108616143A (en) * | 2018-05-15 | 2018-10-02 | 华北电力大学 | Consider that the flexible multimode of voltage load shared mechanism switchs Reliability Modeling |
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| KR101943885B1 (en) * | 2017-06-02 | 2019-01-30 | 효성중공업 주식회사 | MMC converter and submodule thereof |
| CN110137996B (en) * | 2018-02-02 | 2022-08-09 | 全球能源互联网研究院有限公司 | Method and system for evaluating reliability of flexible direct-current transmission MMC converter valve |
| CN108539795B (en) * | 2018-05-18 | 2021-02-12 | 华北电力大学 | Flexible multi-state switch reliability modeling method considering current load uncertainty |
| CN110098754B (en) * | 2019-04-25 | 2020-11-06 | 国网冀北电力有限公司 | MMC redundancy submodule effective utilization rate calculation method considering standby redundancy |
| CN110376449A (en) * | 2019-06-05 | 2019-10-25 | 西安交通大学 | A kind of MMC analysis method for reliability based on component failure source |
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| CN107633112A (en) * | 2017-08-17 | 2018-01-26 | 全球能源互联网研究院有限公司 | A kind of MMC analysis method for reliability and device |
| CN108616143A (en) * | 2018-05-15 | 2018-10-02 | 华北电力大学 | Consider that the flexible multimode of voltage load shared mechanism switchs Reliability Modeling |
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