电气工程学报, 2015, 10(11): 46-52 doi: 10.11985/2015.11.007

理论研究

基于R 2LC 2的中高压多电平UPQC拓扑评估体系

冯兴田, 孙添添, 马文忠

中国石油大学(华东)信息与控制工程学院 青岛 266580

Assessment System for Medium-High Voltage Multilevel UPQC Topology Based on R 2LC 2

Feng Xingtian, Sun Tiantian, Ma Wenzhong

China University of Petroleum (East China) Qingdao 266580 China

责任编辑: 杨晓花

收稿日期: 2015-07-14   网络出版日期: 2015-11-25

基金资助: 国家自然科学基金.  51207170
国家自然科学基金.  61271001
国家自然科学基金.  51177096
中央高校基本科研业务费专项资金资助项目.  14CX02085A

Editor: Yang Xiaohua

Received: 2015-07-14   Online: 2015-11-25

作者简介 About authors

冯兴田 男 1978年生,博士,讲师,研究方向为电能质量分析、治理及控制。

孙添添 女 1991年生,硕士研究生,研究方向为电能质量调节装置控制分析。

摘要

构建了一种基于R 2LC 2(可靠、冗余、损耗、特性、成本)的中高压多电平统一电能质量调节器(Unified Power Quality Conditioner,UPQC)拓扑评估体系。选定多种应用于UPQC的多电平拓扑结构类型,建立多电平UPQC拓扑结构的损耗模型、故障模型、仿真模型、冗余模型和器件模型,分别用以分析并形成损耗与拓扑关系、拓扑可靠性、暂稳态特性、系统稳定性、结构与成本关系的评价指标。结合五种评价指标的相互影响关系,建立层次分析模型,定量得到五种评价指标的权重系数,构造成对比较矩阵,计算排序权向量,全面分析多种多电平UPQC拓扑结构的整体性能,实现多电平UPQC拓扑结构的综合准确评估,提供多电平UPQC变流器拓扑结构类型的选择依据。选取级联H桥、模块化多电平变流器和换桥臂多电平变流器为实际应用范例,验证了所提评估体系的可行性。

关键词: 中高压换流器 ; R 2LC 2 ; 多电平UPQC ; 评估体系 ; 层次分析模型 ; 换桥臂多电平变流器

Abstract

The assessment system for medium-high voltage multilevel UPQC topology is constructed based on R 2LC 2 (reliability, redundancy, loss, cost, characteristic). After selecting some kinds of unified power quality conditioner (UPQC) topology structure, models are set up including loss model, fault model, simulation model, redundancy model and device model, to analyze and form assessment indexes including relationship between loss and topology, topology reliability, transient and steady-state characteristics, system stability, relationship between structure and cost respectively. Combining reciprocal affection among aforementioned five assessment indexes, hierarchy analysis model is established to quantitatively obtain weight coefficient of assessment indexes, construct pairwise comparison matrices, calculate sequence weight vector and completely analyze ensemble performance of many multilevel UPQC topology structure. Finally, the assessment system realizes comprehensive and accurate assessment of multilevel UPQC topology and provides selecting rules of multilevel UPQC topology types. A real application example uses cascade H bridge, modular multilevel converter (MMC) and alternate-arm multilevel converter (A 2MC) to confirm the practicability of the proposed assessment system.

Keywords: Medium-high voltage converter ; R 2LC 2 ; multilevel UPQC ; assessment system ; hierarchy analysis model ; A 2MC

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本文引用格式

冯兴田, 孙添添, 马文忠. 基于R 2LC 2的中高压多电平UPQC拓扑评估体系 . 电气工程学报[J], 2015, 10(11): 46-52 doi:10.11985/2015.11.007

Feng Xingtian. Assessment System for Medium-High Voltage Multilevel UPQC Topology Based on R 2LC 2. Journal of Electrical Engineering[J], 2015, 10(11): 46-52 doi:10.11985/2015.11.007

1 引言

柔性配电技术(DFACTS技术,又称定制电力技术)的快速发展,为配电网中越来越复杂的电能质量问题提供了解决方法。统一电能质量调节器(Unified Power Quality Conditioner,UPQC)作为DFACTS技术中功能最为全面的装置,集成了串联电压补偿原理和并联电流补偿原理,既能补偿电源电压的不对称和谐波,也能补偿非线性负载的不对称和谐波[1,2]

中高压配电网中,UPQC多采用大功率多电平的变流器拓扑结构;而大功率多电平变流器拓扑结构类型多种多样、性能特点各不相同。现有多电平UPQC拓扑分析技术只是针对多电平UPQC某一种特性或某一种结构开展。文献[3,4,5,6,7]从变流器损耗的角度分析了变流器损耗的形成原因、类型、影响因素、热模型分析、降低方法等,采用的分析方法包括基于面积等效法、曲线拟合法、调制方式分析法等。文献[4,8]分别分析了模块化多电平变流器(Modular Multilevel Converter,MMC)结构和级联H桥结构的损耗特点以及各自特点和相互对比关系。文献[9,10,11,12,13,14]则主要从可靠性方面对变流器进行了分析,包括失效机理、故障提取、冗余配置、状态监测、结温控制方式等。然而从某一项功能出发研究UPQC拓扑结构的应用情况,难以说明该多电平UPQC拓扑结构能否适用于多种不同要求的场合,给出该结构的优劣评估或者适用范围等;而且鲜有文献针对多电平UPQC的拓扑结构构建评估体系进行综合研究。

中高压多电平UPQC拓扑类型选择及相应的控制策略,包括UPQC串联变流器、并联变流器、直流储能环节的拓扑结构和控制策略,直接影响UPQC的适用场合、补偿容量、补偿性能、功率损耗、投资成本以及电容均压等诸多问题[15,16]。采用多电平UPQC拓扑评估方法,可以综合考虑多电平UPQC的多项性能指标,融合它们的相互影响关系,给出合理准确的评价,为多电平UPQC拓扑结构的选择提供依据。

本文提出了一种基于R2LC2(可靠、冗余、损耗、特性、成本)的中高压多电平UPQC拓扑评估体系。通过建立多电平UPQC拓扑结构的损耗模型、故障模型、仿真模型、冗余模型和器件模型,分析损耗与拓扑关系、拓扑可靠性、暂稳态特性、系统稳定性、结构与成本关系的评价指标,根据各评价指标可以独立评估多电平UPQC拓扑的对应性能;同时,通过建立层次分析模型,构造成对比较矩阵,计算排序权向量,实现多电平UPQC拓扑结构的综合准确评估。最后以MMC、换桥臂多电平变流器(Alternate-Arm Multilevel Converter,A2MC)[17]和级联H桥三种实际应用的多电平UPQC结构为例,验证了基于R2LC2的评估体系的可行性。

2 拓扑评估体系

基于R2LC2的多电平UPQC拓扑结构评估体系示意图如图1所示。首先选择能够应用于UPQC的多电平变流器拓扑结构;其次建立拓扑结构的损耗模型、故障模型、仿真模型、冗余模型和器件模型,用来分析损耗与拓扑关系、拓扑可靠性、暂稳态特性、系统稳定性、结构与成本关系,并形成相应的评价指标;再建立层次分析模型,定量分析各评价指标的权重以及与拓扑结构的关系;各评价指标可以相互单独或者相互结合评估UPQC拓扑结构,最后形成基于R2LC2的多电平UPQC拓扑结构评估体系,实现多电平UPQC拓扑结构的综合评估。

图1

图1   多电平UPQC拓扑评估体系示意图

Fig.1   Diagram of assessment system for multilevel UPQC topology


2.1 R2LC2分析模型

选择m种(m为大于1的整数)应用于UPQC的多电平拓扑结构类型,建立多电平UPQC拓扑结构的损耗模型、故障模型、仿真模型、冗余模型和器件模型。五种模型都可独立用于评估UPQC的对应性能,以下内容主要针对每种模型的分析方法、影响因素、形成指标、相互关系等进行了分析。

(1)损耗模型。基于多电平UPQC拓扑结构的功率器件损耗、器件工作频率、调制方式和功率等级等因素的综合分析。多电平UPQC拓扑结构的功率损耗表述式为

式中,Pigifiki分别代表第i个器件的功率损耗、功率等级、工作频率、调制方式;l代表功率器件的数量。

不同的拓扑结构带来功率器件数量、工作频率和调制方式的变化。应用损耗模型形成多电平UPQC损耗与拓扑关系的评价指标h1,用以表征不同拓扑对损耗大小的影响程度。

(2)故障模型。基于曲线拟合法和故障树分析法,分析各多电平UPQC拓扑结构的可靠性和故障率。首先通过功率器件的额定工作参数分析器件的可靠性;然后形成功率子单元的安全工作区域,用以分析功率子单元的可靠性;再结合拓扑结构类型拟合出拓扑系统的可靠性曲线。将多电平UPQC拓扑结构逐级分解,形成从串并联单元、级联单元,到模块或器件的故障树模型,基于故障树分析法和容错系统应用分析多电平UPQC拓扑结构的故障率。应用故障模型形成多电平UPQC拓扑可靠性的评价指标h2,用以表征不同拓扑的可靠性等级。

(3)仿真模型。基于电力仿真软件PSIM,分析多电平UPQC拓扑结构的稳态性能和暂态特性,构建由多电平UPQC拓扑、普通负荷、敏感负荷、模拟线路阻抗等组成的典型配电网系统,设定相应的电路及系统参数,形成仿真模型;在电压暂降骤升、电压电流谐波、三相电压电流不平衡等多种情况下,设定相应的仿真参数;通过电磁仿真研究多电平UPQC在相应拓扑结构下的暂态特性和稳态工作性能,获取m种多电平UPQC拓扑结构在不同电能质量问题下的稳态性能、暂态过渡性能、补偿性能等特征描述。应用仿真模型形成多电平UPQC暂稳态特性的评价指标h3,用以表征不同拓扑处理电能质量问题能力水平的高低。

(4)冗余模型。基于蒙特卡罗模拟法等先进的数值计算方法,分析m种多电平UPQC拓扑结构的冗余度曲线。针对多电平UPQC拓扑结构,首先建立冗余度的数学模型,确定其风险分布函数;然后确定模拟次数、产生随机数,抽样代入模型,求出一个样本值;再反复抽样,产生多个冗余度样本数据;最后进行统计分析,求出冗余度的统计特征。根据冗余度统计数据,绘制多电平UPQC拓扑结构随功率等级、电压等级等变化的冗余度曲线,寻求故障率和冗余器件的平衡。应用冗余模型形成多电平UPQC系统稳定性的评价指标h4,用以表征不同拓扑的风险等级。

(5)器件模型。基于m种多电平UPQC拓扑结构的工作原理,分析多电平UPQC拓扑结构的成本需求。根据多电平UPQC拓扑结构的器件模型,推导电压等级、功率水平、功率器件容量、实现功能等相同条件下,m种多电平UPQC各自所需功率器件的数目,进而分析它们的成本需求以及对损耗模型、故障模型和冗余模型的影响。应用器件模型形成多电平UPQC结构与成本关系的评价指标h5,用以表征不同拓扑的经济性水平。

通过这五种评价指标,能够分别独立评估各种拓扑对应的性能优劣,提供定性评价多电平UPQC拓扑结构单项性能以及应用场合选择的依据。例如,通过损耗模型可以针对多种UPQC拓扑结构进行损耗大小的排序,突出UPQC拓扑结构该项性能的优劣,据此可根据损耗实际要求和水平选择合适的中高压多电平UPQC拓扑结构。

与此同时,各评价指标又有交叉影响因素存在,因而相互之间既相互独立,又相互影响。例如,功率器件的数量直接影响评价指标h1h2h4h5的关系;评价指标h2h4相互均衡;拓扑工作频率和调制方式对评价指标h1h3影响较大等。若要综合评价各种拓扑的性能,需要根据各评价指标的相互关系,既要单项比较,又要协调统一,形成完整的中高压多电平UPQC拓扑评估体系。

2.2 层次分析模型

结合h1h2h3h4h5五种评价指标的相互影响关系,通过建立层次分析模型,可以定量得到五种评价指标的权重系数,进而分析m种多电平UPQC拓扑结构的性能排序,形成基于R2LC2的多电平UPQC拓扑评估体系。

层次分析法是一种解决多目标的复杂问题的定性与定量相结合的决策分析方法。该方法用决策者的经验判断各衡量目标能否实现的标准之间的相对重要程度,合理地给出每个决策方案的每个标准的权数,利用权数求出各方案的优劣次序[18,19]。以下根据层次分析法的基本原理和实施过程,构建多电平UPQC拓扑评估体系的层次分析模型。

首先建立层次结构模型:选定m种多电平UPQC拓扑结构为方案层;多电平UPQC拓扑结构的五种评价指标h1h2h3h4h5为评估指标层;多电平UPQC拓扑结构定量评估结果为目标层,建立三层分析模型,如图2所示。

图2

图2   多电平UPQC 拓扑评估体系层次结构模型

Fig.2   Hierarchy structure model of assessment system for multilevel UPQC topology


其次构造成对比较矩阵:根据五种评价指标h1h2h3h4h5对于评估多电平UPQC拓扑的相对重要程度,综合比较得出各指标之间的权重系数,构造一个5×5阶成对比较矩阵H,即

通常情况下,hij·hji = 1(i, j = 1,2,3,4,5)且hijhji为整数;根据选定的m种多电平UPQC拓扑结构,分别对应五种评价指标h1h2h3h4h5,构造五个m×m阶成对比较矩阵,用以表征在同一评价指标下,m种拓扑相互之间受该指标影响的程度。针对评价指标h1的成对比较矩阵H1

通常情况下,Tij·Tji = 1(i, j = 1,2,…,m)且TijTji为整数;矩阵H2H3H4H5类似式(3)。

成对比较矩阵表示本层所有因素针对上一层某一个因素的相对重要性的比较。在定量确定各层次各因素之间的权重时,所有因素两两相互比较,并采用相对尺度,以尽可能减少性质不同的诸因素相互比较的困难,提高准确度。成对比较矩阵的元素hij采用Santy等人提出的1~9标度方法给出,如表1所示。

表1   比较矩阵元素hij的标度方法

Tab.1  The scaling method of comparison matrix elements hij

标 度含 义
1表示两个因素相比,具有同样重要性
3表示两个因素相比,一个因素比另一个因素稍微重要
5表示两个因素相比,一个因素比另一个因素明显重要
7表示两个因素相比,一个因素比另一个因素强烈重要
9表示两个因素相比,一个因素比另一个因素极端重要
2,4,6,8上述两相邻判断的中值
倒数因素ij比较的判断为hij,则因素ji比较的判断为hji = 1/hij

新窗口打开| 下载CSV


然后进行层次单排序及一致性检验:求解矩阵H的最大特征值λ及其对应的特征向量ω',进行一致性检验(用以保证各成对矩阵中选择的参数在一定的准确范围之内);一致性比率CR满足

认为矩阵H通过一致性检验,则ω'归一化后得到的权向量ω即为指标层对目标层的权重排序,且

式(4)中一致性指标CI计算式为

随机一致性指标RI通常由表2得出,n为矩阵维数。

表2   随机一致性指标参数

Tab.2  The parameters of random indexes

n12345678910
RI000.580.901.121.241.321.411.451.49

新窗口打开| 下载CSV


同理,求解矩阵H1H2H3H4H5的最大特征值及其特征向量,一致性检验通过后,求得权向量ω1ω2ω3ω4ω5,实现方案层对指标层的权重排序,即

最后进行层次总排序及一致性检验:方案层对目标层的排序权向量ωtotal计算式为

层次总排序的一致性检验为

其中,CIiRIi分别为方案层对指标层的层次单排序一致性指标和随机一致性指标,可利用式(6)和表2数据求解。CRtotal<0.1时,通过一致性检验,ωtotal即为m种多电平UPQC拓扑结构对应的评估排序。

通过层次分析法的实现过程分析可以发现,从建立层次结构模型到给出成对比较矩阵,尽管人为主观因素对整个过程的影响很大,但通过相应的分析和计算,能够实现多种方案的优选,实现多种UPQC拓扑结构的定量评估和排序。

3 评估体系应用范例

本文选取中高压UPQC常用的MMC(拓扑T1)、A2MC(拓扑T2)、级联H桥(拓扑T3)三种(m = 3)多电平拓扑结构,应用基于R2LC2的多电平UPQC拓扑结构评估体系进行分析。

在电压等级10kV、容量1Mvar、功率器件开关频率1kHz、处理电压暂降电流谐波等相同条件下,分析三种拓扑结构的损耗模型、故障模型、仿真模型、冗余模型和器件模型,根据这些模型和上述分析方法,通过实际计算、仿真分析、理论推导等多种方式,形成单项评估指标,此处不再赘述;同时,建立图2所示的层次结构模型,再构造成对比较矩阵为

式(10)中,评价指标h1h2h3h4h5分别代表损耗、可靠性、暂稳态特性、冗余、经济性;式中数据按照表1的标度方法,根据R2LC2分析模型中提出的五种模型的相互影响关系,以及对目标层拓扑结构评估的相对重要性主观判断得出,表示评价指标两两之间的相互重要关系。例如,暂稳态特性h3与损耗h1之间的关系:对于拓扑评估来讲,h3h1明显重要,据表1知元素h31为5,h13为其倒数1/5,矩阵H中其他元素可同理得出。

三种多电平UPQC拓扑结构中,MMC保留了级联模块化的特点;具有公共的直流母线端子;容易实现冗余控制;性能优越,相同开关频率下开关损耗小、谐波含量小。A2MC可以共用直流母线,直流母线等级相对较高;全桥结构实现了较好的直流侧故障隔离能力;方向控制模块采用零电压关断技术,有效降低损耗。级联H桥需要多个独立的直流电源;具有模块化结构,相同的电平数下所需功率器件少。此外,A2MC和MMC能够实现四象限运行,而H桥级联模块各悬浮电容电压需要分别进行充电和均衡控制,且难以实现四象限运行[17,20]

结合三种拓扑结构的五种分析模型、上述三种拓扑结构特点以及经验结果,同时针对三种拓扑结构对应五种评价指标的关系,得出式(11) 的五组成对比较矩阵,形成过程与式(10)类似。例如,矩阵H1中的元素T13表示对于损耗这一评估指标来讲,MMC结构T1比H桥结构T3稍微重要,根据表1可知,元素T13为3,T31为其倒数1/3,矩阵H1其他元素可同理得出。矩阵H2H3H4H5分别代表三种拓扑结构对于可靠性、暂稳态特性、冗余、经济性的相互重要程度,各矩阵中的元素生成过程同H1,即

成对比较矩阵H的最大特征值λ及其对应的归一化特征向量ω

,RI=1.12,CR=0.089<0.1,矩阵H通过一致性检验。

成对比较矩阵H1H2H3H4H5的最大特征值λ及其对应的归一化特征向量ωi表3所示。通过计算一致性指标CIi表2的随机一致性指标 RIi,得到一致性比率CRi均小于0.1,故各矩阵均通过一致性检验。根据ω定量得到五项评价指标对于拓扑评估的重要程度,依次为经济性、暂稳态特性、可靠性、损耗、冗余;根据ω1ω2ω3ω4ω5可分别定量得到三种UPQC拓扑结构分别对于五项评估指标的权重,从而提供了根据所需单项性能的要求来选择合适多电平UPQC拓扑结构的依据。

表3   一致性检验数据表

Tab.3  The datas of consistency test

i12345
ωi(0.630,
0.218,
0.152)
(0.493,
0.311,
0.196)
(0.169,
0.443,
0.387)
(0.210,
0.550,
0.240)
(0.099,
0.364,
0.537)
λi3.1083.0543.0183.0183.094
CIi0.0540.0270.0090.0090.047
RIi0.580.580.580.580.58
CRi0.0930.0470.0160.0160.081

新窗口打开| 下载CSV


应用式(8)计算方案层对目标层的排序权向量ωtotal

应用式(9)进行层次总排序的一致性检验为

CRtotal<0.1,通过一致性检验。故ωtotal即为方案层的层次总排序,可知对于三种多电平UPQC拓扑结构的综合评估排序依次为A2MC、级联H桥、MMC。

4 结论

本文基于R2LC2(可靠、冗余、损耗、特性、成本)构建了一种中高压多电平UPQC拓扑评估体系,分别通过多电平UPQC拓扑结构的损耗模型、故障模型、仿真模型、冗余模型和器件模型,建立了损耗与拓扑关系、拓扑可靠性、暂稳态特性、系统稳定性、结构与成本关系五种评价指标,提供了多电平UPQC拓扑的定性分析依据。基于五种评价指标和多种多电平UPQC拓扑,建立层次分析模型,构造成对比较矩阵,求取矩阵最大特征值和特征向量,进行一致性检验,计算排序权向量,实现了多电平UPQC拓扑结构的定量评估。MMC、A2MC和级联H桥三种多电平UPQC结构验证了评估体系的可行性。本文的评估体系提供了一种UPQC拓扑的有效分析方法,并为多电平变流器的拓扑分析提供参考。

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This study proposes control and design methods for a current source united power-quality conditioner (CS-UPQC). Unipolar modulation and parameter design methods are proposed for the series CS converter. The proposed modulation method doubles the equivalent switching frequency, which makes it possible to reduce the filter size and improve the control dynamics. Modified repetitive control schemes are presented for the voltage and current compensation strategies, which provide large open-loop control gains at the integral multiple of the fundamental frequency and guarantee good harmonics compensation performance. A fault current limiting scheme is also presented, which limits the fault current effectively by utilising the large DC link inductor of the CS-UPQC. Simulation results in Matlab/Simulink are presented to clarify the theory and feasibility of the proposed approaches.

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A 2MC VSC-HVDC 系统可靠性分析与冗余度优化研究

[J]. 电工技术学报, 2013,28(增2):319-323.

[本文引用: 2]

Zhu Jin, Wei Tongzhen, Huo Qunhai .

Reliability model analysis and redundancy design of A 2MC VSC-HVDC power transmission system

[J]. Transactions of China Electrotechnical Society, 2013,28(Sup.2):319-323.

[本文引用: 2]

Kim Dong-Min, Kim Jin-O .

Design of emergency demand response program using analytic hierarchy process

[J]. IEEE Transactions on Smart Grid, 2012,3(2):635-644.

DOI:10.1109/TSG.2012.2188653      URL     [本文引用: 1]

This paper presents an innovative approach to formulate a customer-oriented demand response (DR) program in the electricity market using the analytic hierarchy process (AHP). AHP could represent the mutual importance degrees of load reduction criteria from the various viewpoints of load-holders. Thus, the proposed DR program (DRP) could provide the reasonable decision-support process for load-holders, because the participation or nonparticipation is determined by the incentive payments corresponding to the specific load reduction conditions. The proposed DRP has the objective to maintain the system reliability at the emergency period, and it is designed as an incentive-based program (IBP) considering the real-time and by-directional operation. The modified IEEE 24-bus system for the case study is used to demonstrate the usefulness and applicability of the proposed approach, and the load profiles with the proposed DRP and the required incentive payments are obtained. The results show not only the enhancement to the system reliability but also the economic benefits within Pareto-improvement.

Hideaki Tanaka, Shigeyuki Tsukao, Daiki Yamashita , et al.

Multiple criteria assessment of substation conditions by pair-wise comparison of analytic hierarchy process

[J]. IEEE Transactions on Power Delivery, 2010,25(4):3017-3023.

DOI:10.1109/TPWRD.2010.2048437      URL     [本文引用: 1]

王琛琛, 李永东 .

多电平变换器拓扑关系及新型拓扑

[J]. 电工技术学报, 2011,26(1):92-99.

URL     [本文引用: 1]

Multilevel converter has been found widely application in high power drive system. In this paper, the development of the multilevel converter is reviewed, and the relationship between different topologies are analyzed, and then the rules which should be obeyed are summarized when the different topologies are deduced from the generalized topology. Based on this, two novel topologies are presented, and the operating concept and control algorithm are studied. Simulation results show the feasibility of the proposed topologies.

Wang Chenchen, Li Yongdong .

Multilevel converter topologies and two novel topologies

[J]. Transactions of China Electrotechnical Society, 2011,26(1):92-99.

URL     [本文引用: 1]

Multilevel converter has been found widely application in high power drive system. In this paper, the development of the multilevel converter is reviewed, and the relationship between different topologies are analyzed, and then the rules which should be obeyed are summarized when the different topologies are deduced from the generalized topology. Based on this, two novel topologies are presented, and the operating concept and control algorithm are studied. Simulation results show the feasibility of the proposed topologies.

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