Article(id=1153375934599123343, tenantId=1146029695717560320, journalId=1146031654075715584, issueId=1153375932170621317, articleNumber=null, orderNo=null, doi=10.13234/j.issn.2095-2805.2024.6.100, pmid=null, cstr=null, oa=null, hot=null, price=null, onlineType=0, articleFormat=0, articleType=null, articleTypeStr=null, receivedDate=1639411200000, receivedDateStr=2021-12-14, revisedDate=1646841600000, revisedDateStr=2022-03-10, acceptedDate=1647360000000, acceptedDateStr=2022-03-16, onlineDate=1752915851496, onlineDateStr=2025-07-19, pubDate=1732896000000, pubDateStr=2024-11-30, doiRegisterDate=null, doiRegisterDateStr=null, onlineIssueDate=1752915851496, onlineIssueDateStr=2025-07-19, onlineJustAcceptDate=null, onlineJustAcceptDateStr=null, onlineFirstDate=null, onlineFirstDateStr=null, sourceXml=null, magXml=null, createTime=1752915851496, creator=13701087609, updateTime=1752915851496, updator=13701087609, issue=Issue{id=1153375932170621317, tenantId=1146029695717560320, journalId=1146031654075715584, year='2024', volume='22', issue='6', pageStart='1', pageEnd='326', issueExtLink='null', onlineDate='null', pubDate='null', beforeIssueId=null, nextIssueId=null, price=null, status=1, issueComplete=1, articleOrder=1, issueType=-1, specialIssue=0, createTime=1752915850917, creator=13701087609, updateTime=1753780959263, updator=13701087609, preIssue=null, nextIssue=null, ext={EN=IssueExt(id=1157004459600597839, tenantId=1146029695717560320, journalId=1146031654075715584, issueId=1153375932170621317, language=EN, specialIssueTitle=, coverIllustrator=, specialIssueEditor=, specialIssueAbout=), CN=IssueExt(id=1157004459600597840, tenantId=1146029695717560320, journalId=1146031654075715584, issueId=1153375932170621317, language=CN, specialIssueTitle=, coverIllustrator=, specialIssueEditor=, specialIssueAbout=)}, issueFiles=null}, startPage=100, endPage=109, ext={EN=ArticleExt(id=1153375934947250576, articleId=1153375934599123343, tenantId=1146029695717560320, journalId=1146031654075715584, language=EN, title=Novel Modular Three-phase Photovoltaic Inverter and Its Distributed Control Strategy, columnId=1152281492550987902, journalTitle=Journal of Power Supply, columnName=Renewable Energy System, runingTitle=null, highlight=null, articleAbstract=

The cascaded H-bridge is considered as one of the most suitable topologies for photovoltaic (PV) power generation. Aimed at the problems of the traditional three-phase cascaded H-bridge PV inverter such as a large capacitor volume, a short service life, inter-phase power mismatch and a complex control communication system, a novel modular three-phase PV inverter and its distributed control strategy are proposed based on the principle of magnetic flux cancellation. First, the basic structure of the proposed modular topology is introduced. Then, the basic principle of magnetic flux cancellation power decoupling and the influencing factors of double-line frequency voltage ripple are analyzed in detail, and a distributed control strategy is proposed to suppress the double-line frequency voltage ripple and ensure the balance of three-phase output power. Finally, the correctness of theoretical analysis and the feasibility of the proposed control strategy were verified by simulation and experimental results.

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级联H桥被认为是最适合光伏发电场景的拓扑之一。针对传统三相级联H桥光伏逆变器电容体积大、寿命短、相间功率失配及控制通信系统复杂的问题,基于磁通抵消原理提出1种新型模块化三相光伏逆变器及其分布式控制策略。首先,介绍了模块化拓扑的基本结构;然后,对磁通抵消功率解耦的基本原理及二倍频电压纹波的影响因素进行了详细分析,提出1种分布式控制策略以实现二倍频电压纹波的抑制并保证三相输出功率平衡;最后,通过仿真与实验验证了分析的正确性与控制策略的可行性。

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党兴华(1997-),男,硕士研究生。研究方向:多端口变换器、级联变换器在光伏发电中的应用。E-mail: xinghua.dang@whu.edu.cn。

潘尚智(1976-),男,中国电源学会高级会员,通信作者,博士,教授。研究方向:功率变换器数字控制、高功率密度高效率电源、分布式太阳能发电、分布式直流微电网技术。E-mail: shangzhi.pan@whu.edu.cn。

葛晓露(1999-),女,硕士研究生。研究方向:级联变换器的分布式控制。E-mail: xiaolu.ge@whu.edu.cn。

宫金武(1981-),男,博士,副教授。研究方向:高效率高功率密度电力电子变流器设计、宽禁带半导体器件应用。E-mail:gongjinwu@whu.edu.cn。

郝利东(1987-),男,中国电源学会会员,博士研究生。研究方向:多端口变换器、级联变换器在电机驱动中的应用。E-mail:haold@whu.edu.cn。

查晓明(1967-),男,博士,教授。研究方向:大功率电力电子装置及其在电能质量控制、高压电机驱动、柔性输电、新能源及微电网技术中的应用。E-mail: xmzha@whu.edu.cn。

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党兴华(1997-),男,硕士研究生。研究方向:多端口变换器、级联变换器在光伏发电中的应用。E-mail: xinghua.dang@whu.edu.cn。

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党兴华(1997-),男,硕士研究生。研究方向:多端口变换器、级联变换器在光伏发电中的应用。E-mail: xinghua.dang@whu.edu.cn。

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潘尚智(1976-),男,中国电源学会高级会员,通信作者,博士,教授。研究方向:功率变换器数字控制、高功率密度高效率电源、分布式太阳能发电、分布式直流微电网技术。E-mail: shangzhi.pan@whu.edu.cn。

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潘尚智(1976-),男,中国电源学会高级会员,通信作者,博士,教授。研究方向:功率变换器数字控制、高功率密度高效率电源、分布式太阳能发电、分布式直流微电网技术。E-mail: shangzhi.pan@whu.edu.cn。

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葛晓露(1999-),女,硕士研究生。研究方向:级联变换器的分布式控制。E-mail: xiaolu.ge@whu.edu.cn。

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葛晓露(1999-),女,硕士研究生。研究方向:级联变换器的分布式控制。E-mail: xiaolu.ge@whu.edu.cn。

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宫金武(1981-),男,博士,副教授。研究方向:高效率高功率密度电力电子变流器设计、宽禁带半导体器件应用。E-mail:gongjinwu@whu.edu.cn。

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宫金武(1981-),男,博士,副教授。研究方向:高效率高功率密度电力电子变流器设计、宽禁带半导体器件应用。E-mail:gongjinwu@whu.edu.cn。

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郝利东(1987-),男,中国电源学会会员,博士研究生。研究方向:多端口变换器、级联变换器在电机驱动中的应用。E-mail:haold@whu.edu.cn。

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郝利东(1987-),男,中国电源学会会员,博士研究生。研究方向:多端口变换器、级联变换器在电机驱动中的应用。E-mail:haold@whu.edu.cn。

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查晓明(1967-),男,博士,教授。研究方向:大功率电力电子装置及其在电能质量控制、高压电机驱动、柔性输电、新能源及微电网技术中的应用。E-mail: xmzha@whu.edu.cn。

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查晓明(1967-),男,博士,教授。研究方向:大功率电力电子装置及其在电能质量控制、高压电机驱动、柔性输电、新能源及微电网技术中的应用。E-mail: xmzha@whu.edu.cn。

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caption=Comparison of volume, loss and cost between the proposed topology and traditional topology, figureFileSmall=mYU49qfIV/hq8aYXjF3ZKw==, figureFileBig=0v8hdjLxWpPQ4/5oEnliFw==, tableContent=null), ArticleFig(id=1154032492265857876, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1153375934599123343, language=CN, label=图13, caption=所提拓扑与传统拓扑体积、损耗、成本对比, figureFileSmall=mYU49qfIV/hq8aYXjF3ZKw==, figureFileBig=0v8hdjLxWpPQ4/5oEnliFw==, tableContent=null), ArticleFig(id=1154032492337161047, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1153375934599123343, language=EN, label=Tab. 1, caption=Numerical calculation parameters, figureFileSmall=null, figureFileBig=null, tableContent=
参数 数值
子模块总传输功率$P/\mathrm{W}$ 300
输入端电压${V}_{\mathrm{P}}/\mathrm{V}$ 40
直流侧电容电压${V}_{\mathrm{{DC}}}/\mathrm{V}$ 40
QAB 变换器开关频率${f}_{1}/\mathrm{{kHz}}$ 200
QAB 一次侧辅助电感${L}_{\mathrm{p}}/\mu \mathrm{H}$ 2.5
QAB二次侧漏电感$L/\mu \mathrm{H}$ 1
逆变器输出频率$f/\mathrm{{Hz}}$ 50
四绕组变压器变比${N}_{\mathrm{p}}: {N}_{\mathrm{a}}: {N}_{\mathrm{b}}: {N}_{\mathrm{c}}$ $1 : 1 : 1 : 1$
), ArticleFig(id=1154032492429435738, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1153375934599123343, language=CN, label=表1, caption=数值计算参数, figureFileSmall=null, figureFileBig=null, tableContent=
参数 数值
子模块总传输功率$P/\mathrm{W}$ 300
输入端电压${V}_{\mathrm{P}}/\mathrm{V}$ 40
直流侧电容电压${V}_{\mathrm{{DC}}}/\mathrm{V}$ 40
QAB 变换器开关频率${f}_{1}/\mathrm{{kHz}}$ 200
QAB 一次侧辅助电感${L}_{\mathrm{p}}/\mu \mathrm{H}$ 2.5
QAB二次侧漏电感$L/\mu \mathrm{H}$ 1
逆变器输出频率$f/\mathrm{{Hz}}$ 50
四绕组变压器变比${N}_{\mathrm{p}}: {N}_{\mathrm{a}}: {N}_{\mathrm{b}}: {N}_{\mathrm{c}}$ $1 : 1 : 1 : 1$
), ArticleFig(id=1154032492496544604, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1153375934599123343, language=EN, label=Tab. 2, caption=Simulation parameters, figureFileSmall=null, figureFileBig=null, tableContent=
参数 数值
子模块总传输功率$P/\mathrm{W}$ 300
输入端电压${V}_{\mathrm{P}}/\mathrm{V}$ 40
直流侧电容电压${V}_{\mathrm{{DC}}}/\mathrm{V}$ 40
QAB 变换器开关频率${f}_{1}/\mathrm{{kHz}}$ 200
QAB 一次侧辅助电感${L}_{\mathrm{p}}/\mu \mathrm{H}$ 2.5
逆变器输出基波频率$f/\mathrm{{Hz}}$ 50
四绕组变压器变比${N}_{\mathrm{p}}: {N}_{\mathrm{a}}: {N}_{\mathrm{b}}: {N}_{\mathrm{c}}$ $1 : 1 : 1 : 1$
级联模块数量$N$ 3
输入端电容${C}_{\mathrm{p}}/\mu \mathrm{F}$ 10
直流侧电容${C}_{{C}_{x}}\left({x =\mathrm{a},\mathrm{b},\mathrm{c}}\right)/\mu \mathrm{F}$ 20
电网电压幅值${V}_{\text{Grid }}/\mathrm{V}$ 100
), ArticleFig(id=1154032492576236382, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1153375934599123343, language=CN, label=表2, caption=仿真参数, figureFileSmall=null, figureFileBig=null, tableContent=
参数 数值
子模块总传输功率$P/\mathrm{W}$ 300
输入端电压${V}_{\mathrm{P}}/\mathrm{V}$ 40
直流侧电容电压${V}_{\mathrm{{DC}}}/\mathrm{V}$ 40
QAB 变换器开关频率${f}_{1}/\mathrm{{kHz}}$ 200
QAB 一次侧辅助电感${L}_{\mathrm{p}}/\mu \mathrm{H}$ 2.5
逆变器输出基波频率$f/\mathrm{{Hz}}$ 50
四绕组变压器变比${N}_{\mathrm{p}}: {N}_{\mathrm{a}}: {N}_{\mathrm{b}}: {N}_{\mathrm{c}}$ $1 : 1 : 1 : 1$
级联模块数量$N$ 3
输入端电容${C}_{\mathrm{p}}/\mu \mathrm{F}$ 10
直流侧电容${C}_{{C}_{x}}\left({x =\mathrm{a},\mathrm{b},\mathrm{c}}\right)/\mu \mathrm{F}$ 20
电网电压幅值${V}_{\text{Grid }}/\mathrm{V}$ 100
), ArticleFig(id=1154032492655928161, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1153375934599123343, language=EN, label=Tab. 3, caption=Reference components and quantity, figureFileSmall=null, figureFileBig=null, tableContent=
元器件 本文所提拓扑子模块 传统拓扑子模块
变压器 一次侧 MOSFET BSC070N10NS5ATMA1 (×4) BSZ150N10LS3G (×12)
变压器 二次侧 MOSFET BSZ150N10LS3G (×24) BSZ150N10LS3G (×24)
H 桥逆变器 直流侧电容 陶瓷电容${4.7\mu }\mathrm{F}\left({\times {18}}\right)$ (1206 封装) 电解电容${470\mu }\mathrm{F}$ (×27)(直径 16 mm, 高度 25 mm)
变压器 磁芯 EE 32/6/20 (3F3 材料) EE 22/6/16 (3F3 材料)(×3)
), ArticleFig(id=1154032492723037027, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1153375934599123343, language=CN, label=表3, caption=参考元器件及数量, figureFileSmall=null, figureFileBig=null, tableContent=
元器件 本文所提拓扑子模块 传统拓扑子模块
变压器 一次侧 MOSFET BSC070N10NS5ATMA1 (×4) BSZ150N10LS3G (×12)
变压器 二次侧 MOSFET BSZ150N10LS3G (×24) BSZ150N10LS3G (×24)
H 桥逆变器 直流侧电容 陶瓷电容${4.7\mu }\mathrm{F}\left({\times {18}}\right)$ (1206 封装) 电解电容${470\mu }\mathrm{F}$ (×27)(直径 16 mm, 高度 25 mm)
变压器 磁芯 EE 32/6/20 (3F3 材料) EE 22/6/16 (3F3 材料)(×3)
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一种新型模块化三相光伏逆变器及其分布式控制策略
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党兴华 , 潘尚智 , 葛晓露 , 宫金武 , 郝利东 , 查晓明
电源学报 | 新能源系统 2024,22(6): 100-109
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电源学报 | 新能源系统 2024, 22(6): 100-109
一种新型模块化三相光伏逆变器及其分布式控制策略
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党兴华 , 潘尚智 , 葛晓露 , 宫金武 , 郝利东 , 查晓明
作者信息
  • 武汉大学 电气与自动化学院 武汉 430072
  • 党兴华(1997-),男,硕士研究生。研究方向:多端口变换器、级联变换器在光伏发电中的应用。E-mail: xinghua.dang@whu.edu.cn。

    潘尚智(1976-),男,中国电源学会高级会员,通信作者,博士,教授。研究方向:功率变换器数字控制、高功率密度高效率电源、分布式太阳能发电、分布式直流微电网技术。E-mail: shangzhi.pan@whu.edu.cn。

    葛晓露(1999-),女,硕士研究生。研究方向:级联变换器的分布式控制。E-mail: xiaolu.ge@whu.edu.cn。

    宫金武(1981-),男,博士,副教授。研究方向:高效率高功率密度电力电子变流器设计、宽禁带半导体器件应用。E-mail:gongjinwu@whu.edu.cn。

    郝利东(1987-),男,中国电源学会会员,博士研究生。研究方向:多端口变换器、级联变换器在电机驱动中的应用。E-mail:haold@whu.edu.cn。

    查晓明(1967-),男,博士,教授。研究方向:大功率电力电子装置及其在电能质量控制、高压电机驱动、柔性输电、新能源及微电网技术中的应用。E-mail: xmzha@whu.edu.cn。

Novel Modular Three-phase Photovoltaic Inverter and Its Distributed Control Strategy
Xinghua DANG , Shangzhi PAN , Xiaolu GE , Jinwu GONG , Lidong HAO , Xiaoming ZHA
Affiliations
  • School of Electrical Engineering and Automation Wuhan University Wuhan 430072 China
出版时间: 2024-11-30 doi: 10.13234/j.issn.2095-2805.2024.6.100
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级联H桥被认为是最适合光伏发电场景的拓扑之一。针对传统三相级联H桥光伏逆变器电容体积大、寿命短、相间功率失配及控制通信系统复杂的问题,基于磁通抵消原理提出1种新型模块化三相光伏逆变器及其分布式控制策略。首先,介绍了模块化拓扑的基本结构;然后,对磁通抵消功率解耦的基本原理及二倍频电压纹波的影响因素进行了详细分析,提出1种分布式控制策略以实现二倍频电压纹波的抑制并保证三相输出功率平衡;最后,通过仿真与实验验证了分析的正确性与控制策略的可行性。

光伏级联H桥  /  功率失配  /  多端口变换器  /  功率解耦  /  分布式控制

The cascaded H-bridge is considered as one of the most suitable topologies for photovoltaic (PV) power generation. Aimed at the problems of the traditional three-phase cascaded H-bridge PV inverter such as a large capacitor volume, a short service life, inter-phase power mismatch and a complex control communication system, a novel modular three-phase PV inverter and its distributed control strategy are proposed based on the principle of magnetic flux cancellation. First, the basic structure of the proposed modular topology is introduced. Then, the basic principle of magnetic flux cancellation power decoupling and the influencing factors of double-line frequency voltage ripple are analyzed in detail, and a distributed control strategy is proposed to suppress the double-line frequency voltage ripple and ensure the balance of three-phase output power. Finally, the correctness of theoretical analysis and the feasibility of the proposed control strategy were verified by simulation and experimental results.

Photovoltaic (PV) cascaded H-bridge  /  power mismatch  /  multi-port converter  /  power decoupling  /  distributed control
党兴华, 潘尚智, 葛晓露, 宫金武, 郝利东, 查晓明. 一种新型模块化三相光伏逆变器及其分布式控制策略. 电源学报, 2024 , 22 (6) : 100 -109 . DOI: 10.13234/j.issn.2095-2805.2024.6.100
Xinghua DANG, Shangzhi PAN, Xiaolu GE, Jinwu GONG, Lidong HAO, Xiaoming ZHA. Novel Modular Three-phase Photovoltaic Inverter and Its Distributed Control Strategy[J]. Journal of Power Supply, 2024 , 22 (6) : 100 -109 . DOI: 10.13234/j.issn.2095-2805.2024.6.100
光伏发电具有资源丰富、环境友好等特点, 是实现 “碳达峰”、“碳中和” 目标的重要技术措施。 级联$\mathrm{H}$$\mathrm{{CHB}}$ (cascaded$\mathrm{H}$ -bridge)拓扑因其模块化、易于扩展、可实现独立的输入端最大功率点跟踪 MPPT(maximum power point tracking)控制、 并网电流谐波少等优点, 被认为是最适合光伏发电的拓扑之一[1-3]
现阶段,应用于光伏发电系统的$\mathrm{{CHB}}$ 拓扑主要存在以下几个问题需要解决。首先是功率失配问题, 由于光照不均、局部阴影、灰尘堆积等原因, 导致各子模块传输的功率不一致[4]。具体又可分为 2 种类型: 相内功率失配和相间功率失配。对于相内功率失配,文献[5-6]提出了 1 种优化的单相 CHB 光伏逆变器谐波补偿策略扩展调制比的范围, 但在严重功率失配下仍会出现过调制问题; 文献[7-9] 通过有功和无功的独立分配, 在严重功率失配的情况下可保证所有模块均不会过调制, 但这会降低系统的功率因数;文献[10]通过简单地让输出功率较大的模块退出 MPPT, 从而避免输出电压的过调制, 虽然牺牲了部分发电量, 但有利于分布式控制的实施。相间功率失配时, 需要一些更为复杂的控制策略协调整个三相级联系统, 保证系统的稳定运行, 文献[11-12]通过向逆变器的输出电压中注入基频零序分量以使三相之间的功率重新分配。上述大多数方法均需要主控制器获取各个模块的相关电压和电流信息, 进行计算后再将控制指令传输给各子控制器, 随着子模块数量的增加无疑会给控制和通信系统带来挑战。
另外,三相级联$\mathrm{H}$ 桥的各个子模块本质上是单相逆变结构, 通常在逆变器直流侧设置大容量电解电容[13] 缓冲交直流之间的瞬时功率差,减小直流侧二倍频电压纹波。相关研究表明, 相比于陶瓷电容和薄膜电容,电解电容更容易发生故障[14-15],这使得逆变器的寿命与可靠性要小于光伏组件, 进而降低了整个光伏发电系统的寿命与可靠性。
本文提出 1 种基于多绕组变压器耦合的模块化三相光伏逆变器以改善上述 2 个问题。首先, 对模块化拓扑的基本结构进行简单介绍; 其次, 介绍二倍工频纹波的产生机理, 详细分析利用磁通抵消进行功率解耦的基本原理及其影响因素; 然后, 提出 1 种分布式控制策略, 用以抑制子模块中的二倍工频电压纹波并保证三相输出功率平衡; 最后, 通过仿真和实验验证分析的正确性和所提控制策略的有效性。
本文所提拓扑的 1 个模块单元如图1所示, 其中每个模块由两级结构组成。前级为单输入-三输出的四有源桥 QAB(quadruple active bridge)变换器,中间采用四绕组变压器隔离,其辅助电感${L}_{\mathrm{p}}$ 设置在变压器一次侧。后级为三相独立$\mathrm{H}$ 桥逆变器, 其含有 3 个$\mathrm{H}$ 桥,分别经滤波电感连接至三相电网, 或与其他模块连接扩展,组成级联$\mathrm{H}$ 桥架构以获得更高的输出电压直接接入中压交流电网。
每个子模块中的四绕组变压器是该拓扑的关键结构, 其构造了光伏输入端至三相输出端的功率通道, 使得光伏端发出的能量可以通过一定的控制方法均匀传输至三相,从而解决相间功率失配的问题。同时, 三相脉动功率可以以磁通的形式在变压器磁芯中相互抵消, 以实现逆变器交直流的功率解耦, 从而抑制二倍工频电压纹波, 使电容容量得以减少。
直流侧电容的二倍工频电压纹波为逆变器共性问题, 此处仅以逆变器的 A 相为例进行分析, 并考虑单位功率因数。逆变器的输出电压${u}_{\mathrm{a}}$ 和电流${i}_{\mathrm{a}}$ 分别为
$\left\{\begin{array}{l}{u}_{\mathrm{a}}= \sqrt{2}U\sin \left({\omega t}\right)\\{i}_{\mathrm{a}}= \sqrt{2}I\sin \left({\omega t}\right)\end{array}\right.$
式中:$U\text{、}I$ 分别为输出电压和电流的有效值;$\omega ={2\pi f}, f$ 为输出交流信号的频率,一般工频为${50}\mathrm{\;{Hz}}$
逆变器的输出功率${p}_{\mathrm{a}}$
${p}_{\mathrm{a}}= {u}_{\mathrm{a}}{i}_{\mathrm{a}}= {UI}\left\lbrack {1 -\cos \left({2\omega t}\right)}\right\rbrack ={P}_{\mathrm{a}}- {p}_{\mathrm{a}{2\omega }}$
可以看出逆变器的输出功率包含 1 个直流分量${P}_{\mathrm{a}}$ 和 1 个二倍工频分量${p}_{\mathrm{a}{2\omega }}$。通常,光伏阵列输出的电压和电流均为直流分量, 在逆变器直流侧设置电容以缓冲逆变器输入、输出的瞬时功率差。对电容充、放电过程进行分析, 并结合能量守恒定律, 可以得到电容与电压纹波的关系表达式为
$ C =\frac{UI}{{2\omega }{V}_{\mathrm{{DC}}}\Delta {V}_{\mathrm{C}}}$
式中:${V}_{\mathrm{{DC}}}$ 为平均电压;$\Delta {V}_{\mathrm{C}}$ 为二倍频电压纹波的幅值。可以看出, 电容与二倍频纹波幅值成反比。 为了获得较小的纹波, 通常需要大容量的电解电容。
2.1 节的分析说明逆变器输出功率中的二倍工频分量是导致电容电压纹波的根本原因, 本节将对磁通抵消功率解耦的基本思想进行详细阐述。逆变器的三相输出功率可以表示为
${p}_{x}= {UI}\left\lbrack {1 -\cos \left({{2\omega t}- {\theta }_{x}}\right)}\right\rbrack = P -{p}_{x2\omega }$
式中:$x =\mathrm{a},\mathrm{b},\mathrm{c};{\theta }_{\mathrm{a}}= 0,{\theta }_{\mathrm{b}}= -{2\pi }/3,{\theta }_{\mathrm{c}}= {2\pi }/3$
可以看出, 输出功率的二倍工频分量呈现三相对称、负相序的特点, 只要将三相脉动功率转移至变换器中的同一节点, 即可实现二倍工频分量的相互抵消, 可以表示为
$\left\{\begin{array}{l}{P}_{\mathrm{{in}}}= {p}_{\mathrm{a}}+ {p}_{\mathrm{b}}+ {p}_{\mathrm{c}}= {3UI}\\{p}_{\mathrm{a}{2\omega }}+ {p}_{\mathrm{b}{2\omega }}+ {p}_{\mathrm{c}{2\omega }}= 0 \end{array}\right.$
下面对本拓扑前级 QAB 变换器的 3 个二次侧端口进行详细分析, 说明磁通抵消的过程。前级 QAB 变换器二次侧端口示意如图2所示。为了简化分析, 不考虑变压器二次侧的漏感, 如图2(a)所示。假设$\mathrm{{QAB}}$ 的 3 个二次侧的开关管均同步通断, 则 3 个整流网络的调制系数可以表示为
$\left\{\begin{array}{l} m =\mathop{\sum }\limits_{{n = 0}}^{\infty }{m}_{0}\left({t - n{T}_{1}}\right)\;n = 1,2,\cdots \\{m}_{0}= \left\{\begin{matrix} 1 & 0 \leq t <{T}_{1}/2 \\- 1 &{T}_{1}/2 \leq t \leq {T}_{1}\end{matrix}\right.\end{array}\right.$
式中,${T}_{1}$ 为前级$\mathrm{{QAB}}$ 变换器的开关周期。
由于变压器的 3 个二次侧绕组均绕在同一磁芯上, 根据法拉第电磁感应定律, 有
$ e =- N\frac{\mathrm{d}\Phi }{\mathrm{d}t}$
式中:$N$ 为变压器绕组匝数;$\Phi ={\Phi }_{\mathrm{a}}+ {\Phi }_{\mathrm{b}}+ {\Phi }_{\mathrm{c}}$ 为磁芯中的总磁通,${\Phi }_{\mathrm{a}}\text{、}{\Phi }_{\mathrm{b}}\text{、}{\Phi }_{\mathrm{c}}$ 分别为由二次侧不同端口的电流在磁芯中产生的磁通。由式(7)可知, 只要变压器的二次侧绕组匝数${N}_{\mathrm{a}}= {N}_{\mathrm{b}}= {N}_{\mathrm{c}}= N$,由于变压器的 3 个二次侧端电压均由同一磁通感应获得, 即
${v}_{\mathrm{{Ta}}}= {v}_{\mathrm{{Tb}}}= {v}_{\mathrm{{Tc}}}= e $
经过整流网络后, 可以得到直流侧电容电压为
${v}_{{C}_{\mathrm{a}}}= {v}_{{C}_{\mathrm{b}}}= {v}_{{C}_{\mathrm{c}}}= e/m ={V}_{\mathrm{{DC}}}$
显然, QAB 的二次端口需要分别向三相传输相应的功率, 每个整流网络直流侧流出的电流可以表示为
${i}_{\mathrm{{DC}}x}= {p}_{x}/{v}_{{C}_{x}}= \frac{UI}{{V}_{\mathrm{{DC}}}}\left\lbrack {1 -\cos \left({{2\omega t}- {\theta }_{x}}\right)}\right\rbrack $
整流网络交流侧的电流可以表示为
${i}_{\mathrm{T}x}= {i}_{\mathrm{{DC}}x}m =\frac{UI}{2e}\left\lbrack {1 -\cos \left({{2\omega t}- {\theta }_{x}}\right)}\right\rbrack $
不考虑磁饱和, 根据磁通与电流的关系可以写出, 电流在变压器的 3 个二次侧绕组所产生的磁通量为
${\Phi }_{x}= \frac{\mu SN}{l}\frac{UI}{2e}\left\lbrack {1 -\cos \left({{2\omega t}- {\theta }_{x}}\right)}\right\rbrack $
式中:$\mu$ 为磁芯材料的磁导率;$S$ 为磁芯的横截面积;$l$ 为平均磁路长度。
根据基尔霍夫磁路第一定律, 可以得到
${\Phi }_{\mathrm{a}}+ {\Phi }_{\mathrm{b}}+ {\Phi }_{\mathrm{c}}= 3 \cdot \frac{\mu SN}{l}\frac{UI}{2e}$
式(13)说明含有二倍工频分量的磁通在磁芯中可以互相抵消, 仅有磁通高频分量在磁芯中流动, 三相功率互相补偿实现了功率解耦。这样, 直流侧电容就可以不再承担缓冲交直流功率差的功能, 仅需要吸收高频开关纹波, 其容值可以大大减小。
2.2 节为了说明磁通抵消的基本过程, 忽略了变压器二次侧的漏感。但是在实际工况中, 漏感是必然存在的, 这会导致直流侧电容电压上出现二倍工频纹波, 如图2(b)所示。本节将分析变压器二次侧漏感对二倍工频纹波电压的影响。
为简化分析, 方波信号通过傅里叶变换展开, 仅考虑基频分量, 式(6)可以进一步表示为
$ m =\\\frac{4}{\pi }\mathop{\sum }\limits_{{n = 1}}^{\infty }\frac{1}{{2n}- 1}\sin \left\lbrack {\left({{2n}- 1}\right){\omega }_{1}t}\right\rbrack \approx \frac{4}{\pi }\sin \left({{\omega }_{1}t}\right)$
式中,${\omega }_{1}= {2\pi }/{T}_{1}$。假设直流侧电容电压包含 1 个直流分量和二倍工频分量, 即
${v}_{{C}_{x}}= {V}_{\mathrm{{DC}}}+ \Delta {v}_{{C}_{x}}= {V}_{\mathrm{{DC}}}+ \Delta {V}_{\mathrm{C}}\cos \left({{2\omega t}- {\theta }_{x}}\right)$
变压器二次侧 3 个端口的电压可以表示为
${v}_{\mathrm{T}x}= {v}_{{C}_{x}}m =\left({{V}_{\mathrm{{DC}}}+ \Delta {v}_{{C}_{x}}}\right)\frac{4}{\pi }\sin \left({{\omega }_{1}t}\right)$
图3为变压器的星形等效电路模型, 由于仅讨论变压器二次侧 3 个端口之间的互相影响, 变压器的原边支路和励磁支路在此处忽略。
图3中的变量均折算至变压器一次侧, 即
$\left\{\begin{array}{l}{L}_{x}^{\prime }= {L}_{x}/{N}^{2}\\{i}_{\mathrm{T}x}^{\prime }= {i}_{\mathrm{T}x}N \\{v}_{\mathrm{T}x}^{\prime }= {v}_{\mathrm{T}x}/N \end{array}\right.$
式中,${L}_{x}\left({x =\mathrm{a},\mathrm{b},\mathrm{c}}\right)$ 为变压器二次侧不同绕组的漏感。通过应用叠加定理, 可以获得中心点的电压值${v}_{\mathrm{m}}$
${v}_{\mathrm{m}}= \frac{{L}_{\mathrm{b}}^{\prime }{L}_{\mathrm{c}}^{\prime }}{\left({{L}_{\mathrm{b}}^{\prime }+ {L}_{\mathrm{c}}^{\prime }}\right){L}_{\mathrm{a}}^{\prime }+ {L}_{\mathrm{b}}^{\prime }{L}_{\mathrm{c}}^{\prime }}{v}_{\mathrm{{Ta}}}^{\prime }+ \\\frac{{L}_{\mathrm{a}}^{\prime }{L}_{\mathrm{c}}^{\prime }}{\left({{L}_{\mathrm{a}}^{\prime }+ {L}_{\mathrm{c}}^{\prime }}\right){L}_{\mathrm{b}}^{\prime }+ {L}_{\mathrm{a}}^{\prime }{L}_{\mathrm{c}}^{\prime }}{v}_{\mathrm{{Tb}}}^{\prime }+ \\\frac{{L}_{\mathrm{a}}^{\prime }{L}_{\mathrm{b}}^{\prime }}{\left({{L}_{\mathrm{a}}^{\prime }+ {L}_{\mathrm{b}}^{\prime }}\right){L}_{\mathrm{c}}^{\prime }+ {L}_{\mathrm{a}}^{\prime }{L}_{\mathrm{b}}^{\prime }}{v}_{\mathrm{{Tc}}}^{\prime }$
假设${L}_{\mathrm{a}}^{\prime }= {L}_{\mathrm{b}}^{\prime }= {L}_{\mathrm{c}}^{\prime }= L$,有
${v}_{\mathrm{m}}= \frac{4}{\pi }{V}_{\mathrm{{DC}}}\sin \left({{\omega }_{1}t}\right)$
变压器二次侧各绕组的电流可以表示为
${i}_{\mathrm{T}x}^{\prime }= \frac{{v}_{\mathrm{m}}- {v}_{\mathrm{T}x}^{\prime }}{\mathrm{j}{\omega }_{1}{L}_{x}^{\prime }}= \frac{{4\Delta }{v}_{{C}_{x}}}{{\omega }_{1}{L\pi }}\cos \left({{\omega }_{1}t}\right)$
由变压器流向各相的功率可以表示为
${p}_{\mathrm{T}x}= {v}_{\mathrm{T}x}^{\prime }{i}_{\mathrm{T}x}^{\prime }= \\\frac{8}{{\omega }_{1}{\pi }^{2}L}\left({{V}_{\mathrm{{DC}}}+ \Delta {v}_{{C}_{x}}}\right)\Delta {v}_{{C}_{x}}\sin \left({2{\omega }_{1}t}\right)$
其有效值为
${P}_{\mathrm{T}x}= \frac{4\sqrt{2}\left({{V}_{\mathrm{{DC}}}+ \Delta {v}_{{C}_{x}}}\right)\Delta {v}_{{C}_{x}}}{{\omega }_{1}{\pi }^{2}L}$
假设电压纹波相对于直流侧电压幅值较小, 可以作以下近似:${V}_{\mathrm{{DC}}}+ \Delta {v}_{{C}_{x}}\approx {V}_{\mathrm{{DC}}}$。并考虑电压纹波交流分量的有效值, 可以进一步得到
${P}_{\mathrm{T}x}= \frac{4{V}_{\mathrm{{DC}}}\Delta {V}_{\mathrm{C}}}{{\omega }_{1}{\pi }^{2}L}$
进而可以得到直流电压纹波幅值与变压器二次侧漏感值、QAB 开关频率以及传输功率的关系为
$\Delta {V}_{\mathrm{C}}= \frac{{\pi }^{3}{f}_{1}L{P}_{\mathrm{T}x}}{2{V}_{\mathrm{{DC}}}}$
由式(24)可以看出, 在这种新型拓扑结构下, 二倍工频电压纹波的幅值与前级 QAB 变换器的开关频率、变压器二次侧的漏感值以及传输功率的大小成正比,而与电容的容值无关。
在许多应用场景下, 变压器的漏感会较大, 从而导致严重的电压纹波。本节提出 1 种抑制电压纹波的控制策略, 其基本思想是采用移相控制 QAB 变换器将各相所需的瞬时功率传输至交流输出端。
QAB 的等效电路模型如图4所示。QAB 各个端口之间的功率传输存在一定耦合关系, 首先构建 QAB 的三角形模型, 以解耦 QAB 各个端口的功率传输,如图4(b)所示。以端口$\mathrm{p}$ 和端口$\mathrm{a}$ 为例,说明如何由星形模型得到三角形模型。
图4(a),由叠加定理,可以写出端口$\mathrm{p}$ 电压${v}_{\mathrm{{Tp}}}$ 在中心点$m$ 的作用量${v}_{\mathrm{{Tp}}1}$
${v}_{\mathrm{{Tp}}1}= \frac{{L}_{\mathrm{a}}^{\prime }{L}_{\mathrm{b}}^{\prime }{L}_{\mathrm{c}}^{\prime }}{\left({{L}_{\mathrm{a}}^{\prime }{L}_{\mathrm{b}}^{\prime }+ {L}_{\mathrm{b}}^{\prime }{L}_{\mathrm{c}}^{\prime }+ {L}_{\mathrm{a}}^{\prime }{L}_{\mathrm{c}}^{\prime }}\right){L}_{\mathrm{p}}+ {L}_{\mathrm{a}}^{\prime }{L}_{\mathrm{b}}^{\prime }{L}_{\mathrm{c}}^{\prime }}{v}_{\mathrm{{Tp}}}$
参考 DAB 变换器的功率传输表达式, 由端口$\mathrm{p}$ 传输至端口$\mathrm{a}$ 的功率可以写为
${P}_{\mathrm{p},\mathrm{a}}= \frac{{V}_{\mathrm{{pl}}}{v}_{C\mathrm{a}}^{\prime }}{{2\pi }{f}_{1}{L}_{\mathrm{a}}^{\prime }}{\varphi }_{\mathrm{{pa}}}\left({1 -\frac{\left|{\varphi }_{\mathrm{{pa}}}\right|}{\pi }}\right)$
同时, 根据 QAB 的三角形等效电路, 由端口$\mathrm{p}$ 传输至端口$\mathrm{a}$ 的功率还可以写为
${P}_{\mathrm{p},\mathrm{a}}= \frac{{V}_{\mathrm{p}}{v}_{C\mathrm{a}}^{\prime }}{{2\pi }{f}_{1}{L}_{\mathrm{{pa}}}}{\varphi }_{\mathrm{{pa}}}\left({1 -\frac{\left|{\varphi }_{\mathrm{{pa}}}\right|}{\pi }}\right)$
式中:${V}_{\mathrm{p}1}$${v}_{\mathrm{{Tp}}1}$ 的幅值;${V}_{\mathrm{p}}$${v}_{\mathrm{{Tp}}}$ 的幅值。比较式 (26)和式(27),即可得到 QAB 三角形等效电路中端$\Pi \mathrm{p}$ 和端口$\mathrm{a}$ 之间的等效电感${L}_{\mathrm{{pa}}}$
${L}_{\mathrm{{pa}}}= {V}_{\mathrm{p}}/{V}_{\mathrm{p}1}\cdot {L}_{\mathrm{a}}^{\prime }= \frac{{L}_{\mathrm{a}}^{\prime }{L}_{\mathrm{p}}}{{L}_{\mathrm{c}}^{\prime }}+ \frac{{L}_{\mathrm{a}}^{\prime }{L}_{\mathrm{p}}}{{L}_{\mathrm{b}}^{\prime }}+ {L}_{\mathrm{p}}+ {L}_{\mathrm{a}}^{\prime }$
上述分析方法适用于 QAB 变换器的任意 2 个端口之间, 这样就可以得到 QAB 的三角形等效电路模型。
为了简化分析,认为${L}_{\mathrm{a}}^{\prime }= {L}_{\mathrm{b}}^{\prime }= {L}_{\mathrm{c}}^{\prime }= L$,则对于三角形模型, 有
${L}_{\mathrm{{pa}}}= {L}_{\mathrm{{pb}}}= {L}_{\mathrm{{pc}}}= 3{L}_{\mathrm{p}}+ L $
${L}_{\mathrm{{ab}}}= {L}_{\mathrm{{bc}}}= {L}_{\mathrm{{ca}}}= \left({3{L}_{\mathrm{p}}+ L}\right) L/{L}_{\mathrm{p}}$
对于多绕组变压器耦合的 QAB, 其任意 2 个端口之间传输的功率可以表示为
${P}_{m, n}= \frac{{v}_{m}{v}_{n}}{{2\pi }{f}_{1}{L}_{mn}}{\varphi }_{mn}\left({1 -\frac{\left|{\varphi }_{mn}\right|}{\pi }}\right)$
式中:$m, n \in \{\mathrm{p},\mathrm{a},\mathrm{b},\mathrm{c}\}$$m \neq n;{\varphi }_{mn}= {\varphi }_{m}- {\varphi }_{n}$ 为 2 个端口之间的移相角。根据能量守恒定律, 对于本文研究的集成三相逆变器, 有
$\left\{\begin{array}{l}{P}_{\mathrm{p},\mathrm{a}}+ {P}_{\mathrm{c},\mathrm{a}}- {P}_{\mathrm{a},\mathrm{b}}= {P}_{\mathrm{a}}- {p}_{\mathrm{a}{2\omega }}\\{P}_{\mathrm{p},\mathrm{b}}+ {P}_{\mathrm{a},\mathrm{b}}- {P}_{\mathrm{b},\mathrm{c}}= {P}_{\mathrm{b}}- {p}_{\mathrm{b}{2\omega }}\\{P}_{\mathrm{p},\mathrm{c}}+ {P}_{\mathrm{b},\mathrm{c}}- {P}_{\mathrm{c},\mathrm{a}}= {P}_{\mathrm{c}}- {p}_{\mathrm{c}{2\omega }}\end{array}\right.$
如果采用移相控制使直流侧电压保持为恒定值,即${v}_{{C}_{\mathrm{a}}}= {v}_{{C}_{\mathrm{b}}}= {v}_{{C}_{\mathrm{c}}}= {V}_{\mathrm{{DC}}}$,式(32)可以扩展为
$\left\{\begin{array}{l}\frac{{V}_{\mathrm{{DC}}}^{\prime }}{2{f}_{1}\left({3{L}_{\mathrm{p}}+ {L}^{\prime }}\right)}\left\{{{V}_{\mathrm{p}}\frac{{\varphi }_{\mathrm{{pa}}}}{\pi }\left\lbrack {1 -\frac{{\varphi }_{\mathrm{{pa}}}}{\pi }}\right\rbrack +\frac{{L}_{\mathrm{p}}}{{L}^{\prime }}{V}_{\mathrm{{DC}}}\left\lbrack {\frac{{\varphi }_{\mathrm{{ca}}}}{\pi }\left({1 -\frac{{\varphi }_{\mathrm{{da}}}}{\pi }}\right)- \frac{{\varphi }_{\mathrm{{ob}}}}{\pi }\left({1 -\frac{{\varphi }_{\mathrm{{da}}}}{\pi }}\right)}\right\rbrack }\right\}= \frac{U}{2}\left\lbrack {\cos \beta -\cos \left({{2\omega t}- \beta }\right)}\right\rbrack \\\frac{{V}_{\mathrm{{DC}}}^{\prime }}{2{f}_{1}\left({3{L}_{\mathrm{p}}+ {L}^{\prime }}\right)}\left\{{{V}_{\mathrm{p}}\frac{{\varphi }_{\mathrm{{pb}}}}{\pi }\left\lbrack {1 -\frac{{\varphi }_{\mathrm{{pb}}}}{\pi }}\right\rbrack +\frac{{L}_{\mathrm{p}}}{{L}^{\prime }}{V}_{\mathrm{{DC}}}^{\prime }\left\lbrack {\frac{{\varphi }_{\mathrm{{da}}}}{\pi }\left({1 -\frac{{\varphi }_{\mathrm{{da}}}}{\pi }}\right)}\right\rbrack -\frac{{\varphi }_{\mathrm{{dc}}}}{\pi }\left\lbrack {1 -\frac{{\varphi }_{\mathrm{{dc}}}}{\pi }}\right\rbrack }\right\}= \frac{U}{2}\left\lbrack {\cos \beta -\cos \left({{2\omega t}- \beta +\frac{2}{3}\pi }\right)}\right\rbrack \\\frac{{V}_{\mathrm{{DC}}}^{\prime }}{2{f}_{1}\left({3{L}_{\mathrm{p}}+ {L}^{\prime }}\right)}\left\{{{V}_{\mathrm{p}}\frac{{\varphi }_{\mathrm{{pc}}}}{\pi }\left\lbrack {1 -\frac{{\varphi }_{\mathrm{{pc}}}}{\pi }}\right\rbrack +\frac{{L}_{\mathrm{p}}}{{L}^{\prime }}{V}_{\mathrm{{DC}}}^{\prime }\left\lbrack {\frac{{\varphi }_{\mathrm{{bc}}}}{\pi }\left({1 -\frac{{\varphi }_{\mathrm{{pc}}}}{\pi }}\right)- \frac{{\varphi }_{\mathrm{{ca}}}}{\pi }\left({1 -\frac{{\varphi }_{\mathrm{{ca}}}}{\pi }}\right)}\right\rbrack }\right\}\\\end{array}\right.$
显然, 式 (33)是 1 个超越方程组, 无法得到其解析解。设${\varphi }_{\mathrm{p}}= 0$,并结合表1的参数,可以得到${\varphi }_{\mathrm{a}}$${\varphi }_{\mathrm{b}}$${\varphi }_{\mathrm{c}}$ 的数值解,如图5所示。可以发现,3 个二次侧端口相对于一次侧端口的移相角近似包含 1 个直流分量和二倍工频分量, 且呈现三相对称、负相序的特点。
基于上述分析, 本文为级联并网逆变系统提出 1 种分布式控制策略, 如图6所示。其中, 主控制器采集三相电网电压信息, 并提取电压幅值和相角信息发送给各个子模块。对于每个子模块, 首先采集输入端电压${v}_{\mathrm{{pv}}}$ 和电流${i}_{\mathrm{{pv}}}$,经过 MPPT 运算得到输入端电压的参考值${V}_{\text{pvref }}$,与反馈值作差后经 PI 控制器调节,得到平均移相角信号$\varphi$。分别采集电容${C}_{\mathrm{a}}\text{、}{C}_{\mathrm{b}}\text{、}{C}_{\mathrm{c}}$ 的电压${v}_{{C}_{\mathrm{a}}}\text{、}{v}_{{C}_{\mathrm{b}}}\text{、}{v}_{{C}_{\mathrm{c}}}$,分别与直流侧参考电压${V}_{\text{dcref }}$ 作差后经 PI 控制器调节,得到 3 个附加移相角信号$\Delta {\varphi }_{\mathrm{a}}\text{、}\Delta {\varphi }_{\mathrm{b}}\text{、}\Delta {\varphi }_{\mathrm{c}}$。平均移相角信号分别与附加移相角信号相加,得到移相角信号${\varphi }_{\mathrm{a}}\text{、}{\varphi }_{\mathrm{b}}$${\varphi }_{\mathrm{c}}$,经过移相运算分别生成开关器件控制信号作用于$\mathrm{{QAB}}$ 变换器的各$\mathrm{H}$ 桥。为了保证每个子模块的三相输出功率平衡,求取电压${v}_{{C}_{\mathrm{a}}}\text{、}{v}_{{C}_{\mathrm{b}}}\text{、}{v}_{{C}_{\mathrm{c}}}$ 的平均值,与直流侧参考电压${V}_{\text{dcref }}$ 作差后经 PI 控制器调节, 得到子模块输出有功电流参考值, 结合无功电流参考值并经电流内环 PI 控制调节和 Park 反变换, 得到参考调制波信号, 经 SPWM 调制生成开关器件控制信号作用于三相独立$\mathrm{H}$ 桥。
可以看出, 结合本文提出的拓扑和分布式控制策略,主控制器只需要向各子控制器发送相关信号, 而无需将子控制器的相关参数发送给其他子控制器或主控制器, 大大减小了系统通信和控制的复杂度。
为了验证上述分析和控制策略的有效性, 使用 PSIM 搭建了级联逆变并网系统, 其参数如表2所示。仿真结果如图7图8所示。
图7(a)给出了变压器二次侧漏感为$1\mathrm{{nH}}$ 时的三相独立$\mathrm{H}$ 桥的直流侧电压,可以看出,此时变压器二次侧的 3 个端口强耦合, 当直流侧电容为${20\mu }\mathrm{F}$ 时,电压纹波约为${0.6}\mathrm{\;V}$图7(b)为变压器二次侧漏感为${100}\mathrm{{nH}}$ 时的仿真结果,可以看出,随着漏感的增加,此时直流侧电压纹波增大至约$4\mathrm{\;V}$, 电压纹波呈现二倍工频脉动。
图7(b)和(c)比较了QAB 开关频率对电压纹波的影响,图7(c)中,原边励磁电感被设置为${1.25\mu }\mathrm{H}$, QAB 变换器的开关频率提高至${400}\mathrm{{kHz}}$。可以看出, 在相同功率传输的情况下, 此时电压纹波幅值增加至约${15}\mathrm{\;V}$
图7(b)和(d)比较了直流侧电容对电压纹波的影响,图7(d)中,直流侧电容设置为${200\mu }\mathrm{F}$。可以看出, 当电容增加 10 倍时, 电容电压纹波幅值并未明显减小,仅高频纹波被滤除。
上述对图7的对比, 验证了式(24)所得二倍工频电压纹波影响因素的正确性。
图8展示了纹波抑制控制策略的效果。在${0.03}\mathrm{\;s}$ 前, QAB变换器未施加本文所提控制策略,在${0.03}\mathrm{\;s}$ 后, 投入本文所提控制策略。很明显, 电压纹波幅值由约$4\mathrm{\;V}$ 抑制到了约$1\mathrm{\;V}$,验证了所提控制策略的有效性。对于传统拓扑, 根据式(3)可以计算得到,将电容电压纹波抑制到$1\mathrm{\;V}$,约需要$4\mathrm{\;{mF}}$ 的电容,而本文直流侧电容仅需约${20\mu }\mathrm{F}$,容值减小了约 99.5%。
为了进一步验证上述分析和所提控制策略的有效性, 搭建了 1 个子模块样机, 如图9所示。在该实验样机中, 仅使用了小容值的陶瓷电容。
首先在没有纹波抑制控制的情况下, 说明漏感对电压纹波的影响。直流侧电容的电压波形如图10所示。可以看出, 直流侧电压呈现二倍工频、 负相序的特点,纹波幅值略有差异。经过粗略测量, 得到绕组 a、b、c 对应的漏感值分别约为 173、88、${187}\mathrm{{nH}}$。比较各绕组所对应的直流侧电压${V}_{\mathrm{{dcA}}}$${V}_{\mathrm{{dcB}}}$${V}_{\mathrm{{dcC}}}$ 的纹波大小,可以发现,漏感越大时, 对应的电压纹波幅值越大, 这与仿真及理论分析结论一致。
图11图12展示了在本文所提控制策略下的实验波形。由图11可以看出, 电压纹波被抑制到约 5%,仅存在高频分量。由图12可以看出,输出电流为三相对称的良好正弦波形, 说明三相, 输出功率平衡, 验证了理论分析的正确性和控制的有效性。
为了体现本文所提拓扑的优势, 在相同工况下与传统隔离型三相 CHB 拓扑在体积、损耗、成本方面进行对比, 考虑变换器子模块将相同功率传输至三相电网的情况, 所有数据均根据表3中所列出的条件进行估算, 对比结果如图13所示。
综合图13可以看出, 本文所提拓扑子模块在体积、成本方面均比传统拓扑有很大提升,损耗方面两者差别不大。
为了解决传统光伏三相级联$\mathrm{H}$ 桥拓扑的相间功率失配问题及采用大容量电解电容引起的寿命与可靠性问题, 本文提出了 1 种新型模块化三相光伏逆变器。在各个子模块中利用多端口变换器构造光伏端至三相输出的功率通道以解决相间功率失配问题,同时使三相脉动功率在各子模块多绕组变压器磁芯中互相抵消, 以实现交直流功率解耦, 减小电容电压纹波, 大大降低子模块电容值。本文详细分析了磁通抵消抑制纹波的过程, 分析了变压器漏感、开关频率及传输功率对电压纹波的影响。为了减小控制与通信系统的复杂程度, 本文提出了 1 种分布式控制策略以保证电压纹波抑制效果并保证输出三相功率平衡。仿真与实验验证了分析的正确性与控制策略的可行性。
  • 湖北省重点研发计划资助项目(2020BHB002)
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doi: 10.13234/j.issn.2095-2805.2024.6.100
  • 接收时间:2021-12-14
  • 首发时间:2025-07-19
  • 出版时间:2024-11-30
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  • 收稿日期:2021-12-14
  • 修回日期:2022-03-10
  • 录用日期:2022-03-16
基金
Key Research and Development Program of Hubei Province(2020BHB002)
湖北省重点研发计划资助项目(2020BHB002)
作者信息
    武汉大学 电气与自动化学院 武汉 430072
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