Research on Tidal Optimization of Voltage Overrun Problem in Photovoltaic Distribution Network With Electrical Energy Router

doi:10.12096/j.2096-4528.pgt.23182

Abstract

Abstract:

Objectives With the access of high-penetration distributed photovoltaic to the distribution network, the problems of power back-feeding and voltage overrun become more and more serious. Therefore, an optimization scheme of electrical energy router based on improved black hole algorithm is proposed. Methods A unified model of the high-penetration photovoltaic distribution network with multi-port electrical energy router is established by port steady state modeling of electrical energy router. The optimization objectives of voltage deviation and network loss minimization are proposed for the model. Under the simplified model of the distribution network in a certain area of Gansu province, the improved black hole optimization algorithm is used to optimize the solution, and the data of the distribution network system before and after the addition of the electrical energy router are compared and analyzed. Results When the photovoltaic output power are 0%, 50% and 100%, the voltage min/max values are improved/reduced by 10.86%, 3.16% and 9.64%, respectively. The voltage amplitude at each node is controlled within the range of 0.93-1.07 pu. The average line loss is decreased by 57.94%-81.56%. Conclusions The tidal optimization of the distributed photovoltaic distribution network is achieved by incorporating electrical energy router and performing the corresponding optimization strategy. The research results are of great significance to improve the penetration of distributed photovoltaic in the distribution grid.

Key words: new energy, photovoltaic power generation, photovoltaic distribution network, electrical energy router, steady state modelling, tidal optimization, improved black hole optimization algorithm, voltage overrun

CLC Number:

TK 01

Jianfeng YANG, Ting LI, Aimin YANG, Zining FENG. Research on Tidal Optimization of Voltage Overrun Problem in Photovoltaic Distribution Network With Electrical Energy Router[J]. Power Generation Technology, 2025, 46(1): 113-125.

Figures/Tables 17

Fig. 1 Structure diagram of multi-port electrical energy router

Fig. 2 Power switching diagram of multi-port electrical energy router

Fig. 3 Power electronic architecture of the AC/DCport of the electrical energy router

Fig. 4 Power electronic architecture of the DC/DCport of the electrical energy router

Fig. 5 Diagram of multiple photovoltaic connection to the distribution network

Fig. 6 Simplified model diagram of AC/DC port

Fig. 7 Simplified model diagram of DC/DC port

Tab. 1 Control modes for the port of electrical energy router

端口类型	控制模式
DC/AC端口	定 $P r 、 Q r$
DC/AC端口	定 $P r 、 U r$
DC/DC端口	定 $U d $ 、定 $P d $
DC/DC端口	下垂控制法

Tab. 1 Control modes for the port of electrical energy router

端口类型	控制模式
DC/AC端口	定 $P r 、 Q r$
DC/AC端口	定 $P r 、 U r$
DC/DC端口	定 $U d $ 、定 $P d $
DC/DC端口	下垂控制法

Fig. 8 Flowchart of the improved black hole algorithm

Fig. 9 Structure of high proportion photovoltaic distribution network in a region

Fig. 10 Low voltage side distributed photovoltaic grid-connected diagram

Tab. 2 Distribution network impedance parameters

起始节点	终止节点	线路阻抗/ $Ω$	起始节点	终止节点	线路阻抗/ $Ω$
1	2	0.922+j0.470	16	17	1.289+j1.721
2	3	0.493+j0.251	17	18	0.073+j0.574
3	4	0.366+j0.186	3	19	0.164+j0.156
4	5	0.381+j0.194	19	20	1.504+j1.355
5	6	0.819+j0.707	20	21	0.410+j0.478
6	7	0.187+j0.618	21	22	0.709+j0.937
7	8	1.174+j1.235	8	23	0.451+j0.308
8	9	1.030+j0.740	23	24	0.898+j0.709
9	10	1.040+j0.740	24	25	0.896+j0701
10	11	0.197+j0.065	25	26	0.203+j0.103
11	12	0.374+j0.124	26	27	0.284+j0.145
12	13	1.468+j1.155	27	28	1.059+j0.934
13	14	0.542+j0.713	17	29	0.804+j0.701
14	15	0.591+j0.526	29	30	0.508+j0.256
15	16	0.746+j0.545

Tab. 2 Distribution network impedance parameters

起始节点	终止节点	线路阻抗/ $Ω$	起始节点	终止节点	线路阻抗/ $Ω$
1	2	0.922+j0.470	16	17	1.289+j1.721
2	3	0.493+j0.251	17	18	0.073+j0.574
3	4	0.366+j0.186	3	19	0.164+j0.156
4	5	0.381+j0.194	19	20	1.504+j1.355
5	6	0.819+j0.707	20	21	0.410+j0.478
6	7	0.187+j0.618	21	22	0.709+j0.937
7	8	1.174+j1.235	8	23	0.451+j0.308
8	9	1.030+j0.740	23	24	0.898+j0.709
9	10	1.040+j0.740	24	25	0.896+j0701
10	11	0.197+j0.065	25	26	0.203+j0.103
11	12	0.374+j0.124	26	27	0.284+j0.145
12	13	1.468+j1.155	27	28	1.059+j0.934
13	14	0.542+j0.713	17	29	0.804+j0.701
14	15	0.591+j0.526	29	30	0.508+j0.256
15	16	0.746+j0.545

Tab. 3 High proportion photovoltaic distribution network parameters

参数	数值
电压基准/kV	10
容量基准(MV⋅A)	1
光伏容量/kW	1 200
	1 020
	650
	610
	2 770

Fig. 11 Structure of high proportion photovoltaic distribution network with electrical energy routers

Fig. 12 Voltage changes of each node before and after distribution grid improvement

Fig. 13 Average line power loss before and after distribution grid improvement

Tab. 4 Comparison of node voltage and line loss at different photovoltaic outputs

光伏输出占比/%	最大电压/pu		最小电压/pu		线路平均损耗/MW
光伏输出占比/%	改进前	改进后	改进前	改进后	改进前	改进后
0	1.000(1)	1.001(6)	0.893(18)	0.985(13)	0.010 7	0.003 9
50	1.045(30)	1.016(6)	0.982(24)	0.991(13)	0.016 1	0.005 0
100	1.120(30)	1.030(6)	1.000(1)	1.016(13)	0.024 4	0.008 5

References 35

1	潘荔，梁志宏，刘志强，等．我国西北地区风电、光伏发电发展形势分析[J]．中国能源，2022，44(10)：56-62． doi:10.3969/j.issn.1003-2355.2022.10.008
	PAN L， LIANG Z H， LIU Z Q，et al ．Analysis of wind and solar PV power development situation in northwest of China[J]．Energy of China，2022，44(10)：56-62． doi:10.3969/j.issn.1003-2355.2022.10.008
2	吕清泉，张珍珍，马彦宏，等．区域光伏发电出力特性分析研究[J]．发电技术，2022，43(3)：413-420． doi:10.12096/j.2096-4528.pgt.21060
	LÜ Q Q， ZHANG Z Z， MA Y H，et al ．Analysis and research on output characteristics of regional photovoltaic power generation[J]．Power Generation Technology，2022，43(3)：413-420． doi:10.12096/j.2096-4528.pgt.21060
3	佟曦，侯朗博，孙昊，等．高比例光伏和电动汽车接入配电网的无功优化[J]．智慧电力，2023，51(10)：31-37．
	TONG X， HOU L B， SUN H，et al ．Reactive power optimization of distribution networks with high proportion of PV and EVs[J]．Smart Power，2023，51(10)：31-37．
4	惠慧，李蕊，朱逸镝，等．含高比例分布式光伏的配电网多目标概率规划方法[J]．电测与仪表，2023，60(11)：2-10．
	HUI H， LI R， ZHU Y D，et al ．Multi-objective probabilistic planning method for distribution network with high proportion of distributed photovoltaic[J]．Electrical Measurement & Instrumentation，2023，60(11)：2-10．
5	柴园园，郭力，王成山，等．含高渗透率光伏的配电网分布式电压控制[J]．电网技术，2018，42(3)：738-746． doi:10.1109/tpwrs.2018.2813400
	CHAI Y Y， GUO L， WANG C S，et al ．Distributed voltage control in distribution networks with high penetration of PV[J]．Power System Technology，2018，42(3)：738-746． doi:10.1109/tpwrs.2018.2813400
6	赵争鸣，雷一，贺凡波，等．大容量并网光伏电站技术综述[J]．电力系统自动化，2011，35(12)：101-107．
	ZHAO Z M， LEI Y， HE F B，et al ．Overview of large-scale grid-connected photovoltaic power plants[J]．Automation of Electric Power Systems，2011，35(12)：101-107．
7	赵冬梅，徐辰宇，陶然，等．多元分布式储能在新型电力系统配电侧的灵活调控研究综述[J]．中国电机工程学报，2023，43(5)：1776-1799．
	ZHAO D M， XU C Y， TAO R，et al ．Review on flexible regulation of multiple distributed energy storage in distribution side of new power system[J]．Proceedings of the CSEE，2023，43(5)：1776-1799．
8	LONG C， OCHOA L F ．Voltage control of PV-rich LV networks：OLTC-fitted transformer and capacitor banks[J]．IEEE Transactions on Power Systems，2016，31(5)：4016-4025． doi:10.1109/tpwrs.2015.2494627
9	刘杨华，杨悦荣，林舜江．含光伏配电网中储能和无功补偿装置协调的多目标凸优化配置方法[J]．电力科学与技术学报，2023，38(5)：22-33．
	LIU Y H， YANG Y R， LIN S J ．A multi-object convex optimization method for the coordinated allocation of energy storage and reactive power compensation devices in distribution network integrated with photovoltaics[J]．Journal of Electric Power Science and Technology，2023，38(5)：22-33．
10	CAGNANO A， DE TUGLIE E， LISERRE M，et al ．Online optimal reactive power control strategy of PV inverters[J]．IEEE Transactions on Industrial Electronics，2011，58(10)：4549-4558． doi:10.1109/tie.2011.2116757
11	CRACIUN B I， SERA D， MAN E A，et al ．Improved voltage regulation strategies by PV inverters in LV rural networks[C]//2012 3rd IEEE International Symposium on Power Electronics for Distributed Generation Systems (PEDG)．Aalborg，Denmark：IEEE，2012：775-781． doi:10.1109/pedg.2012.6254089
12	邹文斌，韩松，荣娜，等．基于分布式共识协同的光伏逆变器电压控制策略研究[J]．电力系统保护与控制，2024，52(1)：166-173．
	ZOU W B， HAN S， RONG N，et al ．Voltage control strategy for a PV inverter based on distributed consensus collaboration[J]．Power System Protection and Control，2024，52(1)：166-173．
13	姚璐勤，王琦，李妍，等．计及设备损耗成本的含光储配电网分布式电压控制策略[J]．电力工程技术，2023，42(6)：52-63． doi:10.12158/j.2096-3203.2023.06.006
	YAO L Q， WANG Q， LI Y，et al ．Distributed voltage control strategy of distribution network with photovoltaic and energy storage considering equipment loss cost[J]．Electric Power Engineering Technology，2023，42(6)：52-63． doi:10.12158/j.2096-3203.2023.06.006
14	刘建伟，李学斌，刘晓鸥．有源配电网中分布式电源接入与储能配置[J]．发电技术，2022，43(3)：476-484． doi:10.12096/j.2096-4528.pgt.21068
	LIU J W， LI X B， LIU X O ．Distributed power access and energy storage configuration in active distribution network[J]．Power Generation Technology，2022，43(3)：476-484． doi:10.12096/j.2096-4528.pgt.21068
15	陈豪，张伟华，石磊，等．国内外用户侧光储系统发展应用研究[J]．发电技术，2020，41(2)：110-117． doi:10.12096/j.2096-4528.pgt.19156
	CHEN H， ZHANG W H， SHI L，et al ．Research on the development and application of the photovoltaic and energy storage system in the user-side at home and abroad[J]．Power Generation Technology，2020，41(2)：110-117． doi:10.12096/j.2096-4528.pgt.19156
16	SEZGIN S ．The third industrial revolution：how lateral power is transforming energy，the economy，and the world[J]．Turkish Journal of Business Ethics，2018，11(1)：74-75． doi:10.12711/tjbe.2018.11.1.0005r
17	康重庆，钟海旺．能源互联网主动支撑新能源供给消纳体系[J]．全球能源互联网，2023，6(2)：113-115．
	KANG C Q， ZHONG H W ．Energy internet actively supports the supply and consumption system of renewable energy[J]．Journal of Global Energy Interconnection，2023，6(2)：113-115．
18	宗升，何湘宁，吴建德，等．基于电力电子变换的电能路由器研究现状与发展[J]．中国电机工程学报，2015，35(18)：4559-4570．
	ZONG S， HE X N， WU J D，et al ．Overview of power electronics based electrical energy router[J]．Proceedings of the CSEE，2015，35(18)：4559-4570．
19	王聪，徐晓贤，沙广林，等．基于能量路由器的交直流混合微网潮流计算[J]．电工电能新技术，2018，37(7)：33-40．
	WANG C， XU X X， SHA G L，et al ．Power flow algorithm of AC/DC microgrid based on energy router[J]．Advanced Technology of Electrical Engineering and Energy，2018，37(7)：33-40．
20	杜云飞，尹项根，赖锦木，等．基于电能路由器的配电网稳定运行与故障恢复分层能量优化[J]．电力自动化设备，2022，42(4)：154-164．
	DU Y F， YIN X G， LAI J M，et al ．Hierarchical energy optimization based on electric energy router for distribution network in stable operation and fault recovery[J]．Electric Power Automation Equipment，2022，42(4)：154-164．
21	孙利，陈武，蒋晓剑，等．能源互联网框架下多端口能量路由器的多工况协调控制[J]．电力系统自动化，2020，44(3)：32-39． doi:10.7500/AEPS20190404005
	SUN L， CHEN W， JIANG X J，et al ．Coordinated control of multiple operation conditions for multi-port energy router in energy Internet framework[J]．Automation of Electric Power Systems，2020，44(3)：32-39． doi:10.7500/AEPS20190404005
22	盛万兴，刘海涛，曾正，等．一种基于虚拟电机控制的能量路由器[J]．中国电机工程学报，2015，35(14)：3541-3550．
	SHENG W X， LIU H T， ZENG Z，et al ．An energy hub based on virtual-machine control[J]．Proceedings of the CSEE，2015，35(14)：3541-3550．
23	艾欣，荣经国，吕正，等．一种新型的能量路由器结构及其控制策略的研究[J]．电网技术，2019，43(4)：1202-1210．
	AI X， RONG J G， LÜ Z，et al ．Research on structure and control strategy of a novel energy router[J]．Power System Technology，2019，43(4)：1202-1210．
24	冯高辉，赵争鸣，袁立强．基于能量平衡的电能路由器综合控制技术[J]．电工技术学报，2017，32(14)：34-44．
	FENG G H， ZHAO Z M， YUAN L Q ．Synthetical control technology of electric energy router based on energy balance relationship[J]．Transactions of China Electrotechnical Society，2017，32(14)：34-44．
25	XU B， ZHANG G， LI K，et al ．Publisher correction：reactive power optimization of a distribution network with high-penetration of wind and solar renewable energy and electric vehicles[J]．Protection and Control of Modern Power Systems，2023，8：21． doi:10.1186/s41601-022-00271-w
26	李耐心，文艺林，杜鹏，等．配电网与电动汽车光储充电聚合商的协调互动策略[J]．智慧电力，2023，51(12)：38-44． doi:10.3969/j.issn.1673-7598.2023.12.007
	LI N X， WEN Y L， DU P，et al ．Coordinated interaction strategy between distribution network and aggregators of photo-voltaic，energy storage and electric vehicles[J]．Smart Power，2023，51(12)：38-44． doi:10.3969/j.issn.1673-7598.2023.12.007
27	麻恒远，马恒瑞．考虑新能源消纳的网-站-车协同优化调度[J]．电网与清洁能源，2023，39(3)：103-108． doi:10.3969/j.issn.1674-3814.2023.03.013
	MA H Y， MA H R ．Grid-station-vehicle cooperative optimal scheduling considering new energy consumption[J]．Power System and Clean Energy，2023，39(3)：103-108． doi:10.3969/j.issn.1674-3814.2023.03.013
28	SONG Q， SHENG W， KOU L，et al ．Smart substation integration technology and its application in distribution power grid[J]．CSEE Journal of Power and Energy Systems，2016，2(4)：31-36． doi:10.17775/cseejpes.2016.00046
29	MIAO J， ZHANG N， KANG C ．Generalized steady-state model for energy router with applications in power flow calculation[C]//2016 IEEE Power and Energy Society General Meeting (PESGM)．Boston，MA：IEEE，2016：1-5． doi:10.1109/pesgm.2016.7741416
30	廖小兵，刘开培，乐健，等．电力系统区间潮流计算方法综述[J]．中国电机工程学报，2019，39(2)：447-458．
	LIAO X B， LIU K P， LE J，et al ．Review on interval power flow calculation methods in power system[J]．Proceedings of the CSEE，2019，39(2)：447-458．
31	许晓艳，黄越辉，刘纯，等．分布式光伏发电对配电网电压的影响及电压越限的解决方案[J]．电网技术，2010，34(10)：140-146．
	XU X Y， HUANG Y H， LIU C，et al ．Influence of distributed photovoltaic generation on voltage in distribution network and solution of voltage beyond limits[J]．Power System Technology，2010，34(10)：140-146．
32	张琳娜，乐健，李昊炅．基于混合整数线性规划的含ZIP负荷有源配电网重构方法[J]．电力系统保护与控制，2022，50(8)：25-32．
	ZHANG L N， LE J， LI H J ．Reconfiguration method of an active distribution network with a ZIP load model based on mixed integer linear programming[J]．Power System Protection and Control，2022，50(8)：25-32．
33	郭烨，张伯明，吴文传．节点类型扩展潮流计算及其可解性研究[J]．中国电机工程学报，2011，31(13)：79-85．
	GUO Y， ZHANG B M， WU W C ．Study on bus-type extended load flow and its solvability[J]．Proceedings of the CSEE，2011，31(13)：79-85．
34	PEI H， LI Y， LIU K ．A multi-object black hole gravitational search algorithm for day-ahead reactive optimization in distribution network[C]//2016 IEEE Chinese Guidance，Navigation and Control Conference (CGNCC)．Nanjing，China：IEEE，2016：901-906． doi:10.1109/cgncc.2016.7828905
35	中国国家标准化管理委员会．电能质量供电电压偏差： [S]．北京：中国标准出版社，2009．
	Standardization Administration of the People’s Republic of China ． Power quality：Deviation of supply voltage： [S]．Beijing：Standards Press of China，2009．

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