电气工程学报, 2015, 10(7): 48-56 doi:

理论研究

多模块化逆变器直接并联控制及效率分析研究

张明锐1, 谢青青1, 林显琦2, 欧阳丽3

1.同济大学电子与信息工程学院 上海 201804

2.青岛四方车辆研究所 青岛 266112

3.上海电气集团股份有限公司中央研究院 上海 200070

Researches on Control Strategies of Modular Inverters Paralleling in the Power Grid

Zhang Mingrui1, Xie Qingqing1, Lin Xianqi2, Ouyang Li3

1.Tongji University Shanghai 201804 China

2.Qingdao Sifang Rolling Stock Research Institute Co. Ltd Qingdao 266112 China

3.Central Academe Shanghai Electric Group Co. Ltd Shanghai 200070 China

责任编辑: 崔文静

收稿日期: 2015-03-24   网络出版日期: 2015-07-25

基金资助: 国家高技术研究发展计划(863计划).  2013AA040302
上海市自然科学基金.  13ZR1444400
上海市科委.  13DZ1200403

Received: 2015-03-24   Online: 2015-07-25

作者简介 About authors

张明锐 男 1971年生,副教授,硕士生导师,研究方向为分布式发电与微网技术、电力系统能量管理与优化运行、轨道交通牵引供电系统。

谢青青 女 1990年生,硕士研究生,研究方向为分布式电源并网。

摘要

微网中大功率分布式电源并网逆变器采用模块化结构,输出功率的随机性和波动性不仅容易造成逆变器的过载或轻载,而且工作效率不高。本文根据逆变器效率随传输功率的变化在低功率区间成正比例、高功率区间普遍较高的规律,制定基于模糊控制理论的逆变模块投切控制策略,通过其并联数目的调整,维持系统的高效运行;同时设计同步控制器,实现模块的平滑投切;并提出零序环流抑制策略,解决多直接并联模块零序环流突出的问题。仿真分析表明,所采用的控制策略能够实现并网逆变器始终工作在效率最佳工作区间,为分布式电源高效安全并网提供参考。

关键词: 模块化逆变器 ; 逆变器效率 ; 零序环流抑制 ; 投切控制策略 ; 改进同步控制器

Abstract

Inverters connecting distributed power generators and micro-grid use modular structure, which is not safe and efficient because of the randomness and volatility of transmission power. This article builds the grid inverter system based on directly paralleled inverter structure. According to the DC side model and efficiency model of inverter, relationships between transmission power and efficiency are analyzed. For a changing transmission power, the efficient and reliable switching strategies are developed. Besides, synchronous controller and circulating current restraining controller are designed. The simulation and analysis show that the control strategies can not only switch the grid inverters smoothly, but also make the distributed generators connect to grid safely and efficiently.

Keywords: Modular inverters ; efficiency of inverter ; restraining of zero-sequence circulating current ; switching control strategies ; improved synchronous controller

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本文引用格式

张明锐, 谢青青, 林显琦, 欧阳丽. 多模块化逆变器直接并联控制及效率分析研究. 电气工程学报[J], 2015, 10(7): 48-56 doi:

Zhang Mingrui. Researches on Control Strategies of Modular Inverters Paralleling in the Power Grid. Journal of Electrical Engineering[J], 2015, 10(7): 48-56 doi:

1 引言

随着分布式电源并网功率的增加,提升并网逆变器的容量及效率成为研究热点。在多级并网结构中,可采用高压串联和低压并联的电路[1],为减小高压逆变器的电流,也可采用模块化逆变器直接并联结构。然而,大功率的分布式电源输出功率具有随机性和波动性,在系统额定容量固定的情况下,容易造成逆变器的过载或轻载,影响其工作性能。当传输功率过高时,器件易因过电压、过电流而受损;当传输功率过低时,逆变器工作于低功率区间,会导致效率下降。

文献[2]对一种软开关技术三相PWM逆变器电路进行了研究,并对传输效率模型进行了数学分析,揭示了效率与电路拓扑及控制策略之间的关系;文献[3]通过调节电力电子器件PWM控制信号的占空比和频率来提高小功率设备的效率;文献[4]分析了逆变器单机效率模型,研究、探讨了并联逆变器集群的效率特性,得出使逆变系统总体效率最高的功率分配方式;文献[5]从新能源发电波动性的特点出发,通过改进三电平逆变器的拓扑结构,即采用动态开关损耗特性较好的器件分担主要开关损耗同时缩短无功通道的方法,来提高逆变器在中低功率区间的效率。上述方法都能够在一定程度上改善逆变器工作效率,但面对更高的传输功率,仍存在局限性。

本文采用多模块化逆变器直接并联的结构,利用其灵活多变的组合形式,应对高压微网中大功率分布式电源出力的随机波动,如图1所示。首先建立单台逆变器的等效模型,分析传输功率与工作效率之间的内在规律,确定效率最佳工作区间;再针对逆变系统传输功率的变化情况,制定基于模糊控制理论的直接并联逆变模块投切控制策略,保证系统始终工作在安全、高效的功率区间;同时,采用带有预投切功能的改进同步控制和基于理想机模型的零序环流抑制策略,进一步提高电源的并网效率和可靠性。搭建由20个模块组成的并网逆变系统模型,通过模拟其传输功率变化,仿真并联逆变模块投切工况,验证所采用控制策略的有效性。

图1

图1   模块化逆变器直接并联结构

Fig.1   The direct parallel structure of modular inverter


2 逆变器建模及效率分析

2.1 逆变器等效模型

在三相并网型分布式发电系统中,PWM逆变器的交流侧可以将电机、交流电动势、变压器及漏感或滤波电感等通过三相交流电动势与阻感串联电路来等效。

结合图1得PWM逆变器状态空间描述

式中,k = a,b,c;ud为直流侧电压;ik为交流侧电流;LR为交流侧串联电感、电阻;dk为逆变器第k相半桥上桥臂开关的占空比,dM为三相占空比的平均值,且dM = 0.5;设ek为三相等效电动势。

文献[6]采用常数变易法对上述模型的状态空间描述进行求解,得直流侧电流id和等效输入电导Gd

式中,m为逆变器PWM的调制系数;ρ为交流反电动势幅度因数,与负载交流大小有关,一般小于但近于1;τ为暂态分量的时间常数,τ = L/R

鉴于上式所反映的直流侧伏安关系比较复杂,为简化分析,在等效电感L及时间常数很小的情况下,上述直流侧等效模型也可以用R-eL直流反电动势负载来近似等效模拟,如图2所示。

图2

图2   逆变器的直流侧简化等效模型

Fig.2   Simplified dc-side equivalent model of the inverter


该电路满足

式中,β为直流反电动势幅度因数,β = eL/ud

由式(2)~式(4)得等效输入电阻和直流反电动势

2.2 效率模型

逆变器损耗可分为四类:电阻性损耗,即与电流平方成正比的损耗,例如线路和滤波电抗器内阻上的损耗、开关管通态损耗等;与电压电流之积成正比的损耗,例如开关管开关损耗;与电压平方成正比的损耗,例如均压电阻损耗、采样电阻损耗;固定损耗,例如控制系统功耗。

现代控制理论能够实现直流电压和电网电压的稳定,上述损耗可合并为三类:与电流平方成正比的损耗,与电流成正比的损耗和固定损耗。

图2所示逆变器直流侧等效模型可见,损耗主要来源于串联可变电阻R,定义Rloss为功率损耗等效电阻,得损耗模型如图3所示。

图3

图3   PWM逆变器损耗模型

Fig.3   Power loss model of PWM inverter


图3中,ABC分别为三类损耗的比例系数,进而得模型功率损耗

实际中对逆变器效率曲线的绘制是在标准测试条件下,测量5%、10%、15%、20%、25%、30%、50%、75%、100%负载点以及逆变器最大转换效率点和逆变器最大功率点的逆变效率。逆变器效率曲线测试,分别测量直流输入侧的瞬时功率值Pin,交流输出端的瞬时功率值Pout

效率公式为

式中,a = A/ud,b = B/ud,c = C/ud

参考SG 50k3型逆变器的实测曲线,如图4所示,采用待定系数法,运用cftool拟合得理论效率曲线。

图4

图4   逆变器效率实测曲线与理论曲线

Fig.4   Measured and theoretical curve of inverter efficiency


可见,采用本文方法计算的理论效率曲线与实测曲线整体趋势一致,且较为吻合。逆变器传输效率在高功率区间普遍较高,在低功率区间与传输功率成正比例关系,因此应尽量使逆变器工作在接近额定容量的高功率区间内(简称额定区间),以实现高效率运行,同时避免功率过高而导致安全问题。

3 逆变模块控制策略

3.1 多环控制策略

单个逆变模块主要由一台三相全桥逆变器和滤波装置组成,如图1所示。所有模块运行在V-S模式,采用多环控制策略[7,8],主要包括:电压–相角下垂控制、电压电流双环控制和零序环流抑制策略,如图5所示。其中,LRC为三相滤波器的等效电感、电阻和电容;il为滤波前电流;ui为模块输出端电压和电流;ucic为公共连接点(Point of Common Coupling,PCC)处电压和电流。

图5

图5   单个逆变模块控制策略

Fig.5   Control strategy of one inverter module


3.2 零序环流抑制策略

多模块化逆变器直接并联结构,使得系统环流加剧,在传输功率随机波动时尤为严重,会导致系统效率降低。本文采用理想机模型误差反馈跟踪调节进行零序环流的抑制,如图5所示。理想机模型是并联系统无零序环流时各逆变器的实时参考模型,也是控制目标。dq0坐标系中,由逆变器状态空间描述得到实际运行状态下逆变器输出电压与理想机模型输出电压之差Δud,q,0[9,10]

式中,udq0(LX)为实际运行状态下逆变器(理想机模型)输出电压;idq0(c)为逆变器输出(PCC处)电流。

为了增加控制器的快速响应能力和稳定性,增加PI控制环节

式中,udq0ref为经过电压电流双环控制后的参考电压;udq0REF为经过零序环流控制后的参考电压。

由式(10)和式(11)得控制框图如图6所示。

图6

图6   零序环流抑制策略框图

Fig.6   Diagram of zero-sequence circulating current restraining strategy


4 投切控制策略

4.1 逆变器投切条件

规定每个逆变模块的额定区间为Prated,当前工作模块个数为n,根据逆变系统传输功率Psys的变化情况,总结系统状态见表1

表1   系统状态

Tab.1  Conditions of system

状态PsysPsys变化程度Pin
1不变恒定值=Pratedn
2不变小范围波动=Pratedn
3增大未引起逆变系统超载=Pratedn
4增大导致逆变系统超载>Pratedn
5减小未引起逆变系统轻载=Pratedn
6减小导致逆变系统轻载<Pratedn

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正常情况下Psys应与Pratedn相匹配,如表1中1、2、3、5四种情况;当出现表1中4、6两种情况,即逆变系统传输功率过高或者过低时,容易造成器件损坏或传输效率低下,此时有必要进行逆变模块数目的调整。

4.2 逆变器投切控制策略

根据表1所示6种状态,将逆变器运行工况分为以下3类,作为逆变器投切依据。

(1)额定区间(状态1,2,3,5),逆变器工作于效率最佳的功率区间,增加并联数目会影响单个效率,并且增加系统整体成本,减少并联数目会导致设备超载,因而此时应尽量保持逆变模块数不变。

(2)超载功率区间(状态4),逆变器损耗以与电流成比例的损耗为主导,适当增加并联数目可以使单个逆变模块电流减小,保护电力电子设备,在不太影响单个模块效率的情况下,使得整体损耗减低,进而提高效率,因而此时应投入逆变模块。

(3)轻载功率区间(状态6),逆变器损耗以固定损耗为主导,并联数目增加会导致损耗等比增长,且使逆变器工作于更低功率区间,单个和整体效率都会降低,因而此时应切除逆变模块。

在选择逆变器投切次序时,为均衡器件工作时间,延长系统整体寿命,优先投入工作时间较短的模块,切除工作时间较长的模块。

4.3 基于模糊理论的投切控制

引入模糊理论,实现逆变器投切控制,控制框图如图7所示。

图7

图7   基于模糊控制的逆变器投切控制框图

Fig.7   The control diagram of inverter switching control


图中,Tinv为某个逆变模块累计工作时间;pt为模糊控制器的两个输入量;h为输出量;PT为两个输入语言变量;H为输出语言变量。

精确输入量通过下式转化为输入语言变量

式中,TminTmax分别为所有逆变模块的最短和最长累计工作时间。

模糊控制器采用正态分布型隶属度函数

式中,x为语言变量;ai为函数的中心值;bi为函数的宽度。

本文共采用3个模糊子集{N、O、P },代表{负、零、正},如图8所示。

图8

图8   隶属函数的形状和分布

Fig.8   The shape and distribution of membership function


输入量经隶属函数模糊化后按模糊规则继续处理,本文控制系统采用双输入单输出模式建立模糊规则,见表2

表2   模糊控制规则

Tab.2  Rules of Fuzzy control

TP
NOP
NOOP
OOOO
PNOO

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最后利用式(14)对经模糊规则处理的信号值做去模糊处理,得到输出h,作为逆变器投切控制的输入。本文采用交直流侧分步开合策略,抑制投切过程中的电流冲击,流程如图9所示。图中,invi为第i个逆变模块, 为预同步控制功率参考值,PiIi分别为invi输出功率和直流侧电流。

图9

图9   逆变器投切控制策略流程图

Fig.9   Control strategy flow chart of Inverter switching


4.4 改进同步控制策略

逆变模块投入时,需要其输出电压幅值、频率和相位与PCC处一致。在不改变基本控制结构的基础上,将电压幅值差ΔU加入到幅值参考值中,实现电压幅值同步;利用锁相环技术提取待投入逆变器与PCC的相角差Δδ,反馈至相角参考值中,实现相位同步;由于采用相角下垂控制,待投入和已投入的逆变模块频率均为50Hz,因此投入前后频率信号始终同步。考虑到系统结构较小,各逆变模块物理距离很近,本文不考虑采样信号的延时问题。控制框图如图10所示。

图10

图10   同步调节器结构

Fig.10   Structure of synchronization controller


图中P,Q是为实现逆变器平滑投切而加入的理论参考值,即在逆变模块投切完成前,先使其进入投切完成后的工作状态。投入并联运行后,相角与幅值差为零。切除逆变模块时,开关K首先开断,由于积分器作用,电压幅值与相位不会发生阶跃跳变,而是平缓地过渡到给定信号,因此大大减小了切除过程对系统的冲击。

5 仿真分析

5.1 仿真模型及参数

本文基于由美国北卡州立大学与亚利桑那州立大学等提出的未来可再生电能传输和管理(Future Renewable Electric Energy Delivery and Management,FREEDM)网络结构[1],在Matlab Simulink环境下搭建如图1所示的仿真模型。微网额定电压10kV,允许±0.05pu波动,额定频率50Hz,允许±0.2Hz波动。逆变系统由20个逆变模块组成,每个模块额定容量50kW,具有20%备用容量,设计额定区间为40%~100%额定容量,参数见表3

表3   设计参数

Tab.3  Design parameters

参 数数 值
高压直流Vdc/V18 000
滤波器R0.01
L/mH22.27
C/μF31
下垂系数m/(10-6rad/kW)6
n/(10-2rad/kvar)6
双环控制kip[115,0.057 7]
kii[205 944,333]
零序环流控制k0p10
k0i1 000
载波频率fz/Hz3 000

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5.2 仿真工况模拟

仿真过程分为五个时间段,通过改变逆变系统的输入功率Pin,模拟逆变器投切的五种工况,参数变化见表4

表4   仿真工况

Tab.4  Simulation conditions

工况
12345
时间/s0~0.50.5~1.01.0~1.51.5~2.02.0~2.5
Pin/kW5007006002001 000

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5.3 仿真结果分析

逆变系统传输总功率变化如图11所示。微网电压和频率波形如图12所示。各逆变模块功率波形如图13所示。各逆变模块和FREEDM微网相电压幅值波形如图14所示。逆变模块零序环流绝对值平均波形如图15所示。

图11

图11   逆变系统传输总功率波形

Fig.11   The transmitted power wave of inverter system


图12

图12   电压和频率波形

Fig.12   Wave of voltage and frequency


图13

图13   逆变模块功率波形

Fig.13   Power wave of modular inverters


图14

图14   逆变模块和FREEDM微网相电压幅值波形

Fig.14   Amplitude voltage wave of modular inverters and FREEDM


图15

图15   零序环流绝对值平均波形

Fig.15   The average absolute value wave of zero sequence circulating current


当逆变系统传输功率按照图11所示波形变化时,各逆变模块的投切状态及功率变化如图13所示。0~0.5s时,1~10号模块投入使用,均处于额定区间,系统无投切动作;t = 0.5s时,系统功率突增至700kW,各逆变模块处于超载状态,11~14号模块逐步投入,使工作模块恢复至额定区间;t = 1.0s时,系统功率突降至600kW,各逆变模块仍处于额定区间,为避免逆变模块的频繁投切,延长开关装置寿命,系统无投切动作;t = 1.5s时,系统功率再降至200kW,各逆变模块处于轻载状态,为维持系统的高效率,同时考虑逆变系统的整体寿命,工作时间较久的1~10号模块逐步切除,使工作模块恢复至额定区间;t = 2.0s时,系统功率大幅突增至1MW,系统再次处于超载状态,1~10、15~20号模块迅速投入使用,使工作模块恢复至额定区间。

图13可见,在系统总功率变化时,各工作模块始终处于额定区间,在功率突变时能够快速响应,完成逆变模块的投切,保证系统的高效率运行。由图12可见,微网电压和频率始终维持在额定范围之内,即使在t = 2.0s功率剧烈变化时,也会在小幅度波动之后迅速恢复稳定(0.03s以内)。由图14可见,在改进的同步控制器作用下,逆变器投切时,电压能够快速实现同步。图15为20个逆变模块零序环流绝对值的平均波形

可见,在抑制策略的作用下,零序环流维持在很小的范围内,有利于提高系统整体运行效率。

6 结论

本文针对多逆变模块直接并联的分布式电源并网系统进行研究,根据单个模块工作效率与传输功率之间的规律,提出了适应分布式发电出力变化的直接并联逆变器投切控制策略,同时采用改进同步控制器和基于理想机模型的零序环流抑制策略,使逆变系统始终安全高效地运行。仿真结果表明,本文所提出控制策略,能够有效根据功率变化进行模块投切,并且保证较小的过电压和过电流对系统的冲击,对分布式电源并网发电具有参考意义。

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DOI:10.1109/TSG.2012.2225453      URL    

The smart grid features ubiquitous interconnections of power equipments to enable two-way flows of electricity and information for various intelligent power management applications, such as accurate relay protection and timely demand response. To fulfill such pervasive equipment interconnects, a full-fledged communication infrastructure is of great importance in the smart grid. There have been extensive works on disparate layouts of communication infrastructures in the smart grid by surveying feasible wired or wireless communication technologies, such as power line communications and cellular networks. Nevertheless, towards an operable, cost-efficient and backward-compatible communication solution, more comprehensive and practical understandings are still urgently needed regarding communication requirements, applicable protocols, and system performance. Through such comprehensive understandings, we are prone to answer a fundamental question, how to design, implement and integrate communication infrastructures with power systems. In this paper, we address this issue in a case study of a smart grid demonstration project, the Future Renewable Electric Energy Delivery and Management (FREEDM) systems. By investigating communication scenarios, we first clarify communication requirements implied in FREEDM use cases. Then, we adopt a predominant protocol framework, Distributed Network Protocol 3.0 over TCP/IP (DNP3 over TCP/IP), to practically establish connections between electric devices for data exchanges in a small-scale FREEDM system setting, Green Hub. Within the real-setting testbed, we measure the message delivery performance of the DNP3-based communication infrastructure. Our results reveal that diverse timing requirements of message deliveries are arguably primary concerns in a way that dominates viabilities of protocols or schemes in the communication infrastructure of the smart grid. Accordingly, although DNP3 over TCP/IP is widely considered as a smart grid communication solution, it cannot satisfy communication requirements in some time-critical scenarios, such as relay protections, which claim a further optimization on the protocol efficiency of DNP3.

张明锐, 杜志超, 王少波 , .

高压微网运行模式切换控制策略

[J]. 电工技术学报, 2014,29(2):154-162.

Zhang Mingrui, Du Zhichao, Wang Shaobo , et al.

Control strategies of high-voltage microgrid for operation modes swiching

[J]. Transactions of China Electrotechnical Society, 2014,29(2):154-162.

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