Quantification Method for Distributed Photovoltaic Hosting Capacity of Distribution Networks Based on Static Voltage Stability Margin

doi:10.16183/j.cnki.jsjtu.2024.357

Abstract

Abstract:

Large-scale integration of distributed photovoltaic (PV) systems into distribution networks can easily lead to line overloads, voltage instability, and other issues. The existing PV hosting capacity optimization methods, which mainly focus on economic performance, are often insufficient to ensure voltage stability in distribution networks. This paper proposes a quantitative method for assessing the hosting capacity of distributed PV in distribution networks based on static voltage stability margin (SVSM). First, an analytical expression for a static voltage stability index, characterized by PV output power, is derived, revealing a quadratic function relationship between distributed PV output and the static voltage stability index. Then, with the objective of maximizing PV integration capacity, a hosting capacity quantification model is established, considering constraints such as SVSM, distribution network line loss rate, voltage magnitude, and reactive power compensation devices. An improved adaptive genetic algorithm is used to solve this nonlinear model. Finally, the IEEE 33-node system is used as a case study to validate that the proposed method can effectively guide distributed PV deployment in distribution networks.

Key words: distribution network, distributed photovoltaic (PV), static voltage stability margin (SVSM), hosting capacity

CLC Number:

TM715

DENG Meiling, CHEN Yongjin, BAI Zhenyi. Quantification Method for Distributed Photovoltaic Hosting Capacity of Distribution Networks Based on Static Voltage Stability Margin[J]. Journal of Shanghai Jiao Tong University, 2026, 60(4): 550-562.

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光伏接入节点	薄弱节点	L_SVS值	崩溃电压标幺值	系统负荷功率裕度/MW
4	6	0.3597	0.7004	2.8282
6	6	0.2742	0.7327	3.2567
15	6	0.2722	0.7309	3.5316
18	6	0.2750	0.7277	3.4483
22	6	0.3649	0.6559	2.5934
33	28	0.2721	0.7304	3.3002

光伏接入节点	L_SVS值	崩溃电压标幺值	系统负荷功率裕度/MW
6	0.2742	0.7327	3.2567
6、18	0.2715	0.7330	3.5452
6、18、28	0.2705	0.7205	3.7962
6、18、28、31	0.2696	0.6838	4.2584
9、12、25、31	0.2902	0.6893	3.7930

方案	接入位置	接入节点	光伏接入容量/MW	线路损耗/kW	电压偏差标幺值	电压稳定裕度
1	线路始段	2,3	4.9408	135.7	1.3431	0.9273
2	线路始段	2,4,19	7.5803	70.5	0.3063	0.9571
3	线路始段	2,4,19,23	10.6992	120.0	0.5569	0.9583
4	线路中段	8,9	4.5029	110.0	0.6072	0.9584
5	线路中段	8,9,28	5.4562	108.5	0.8154	0.9722
6	线路中段	8,10,27,29	5.6246	98.8	0.8020	0.9740
7	线路末段	16,17	1.9614	131.4	0.7534	0.9551
8	线路末段	16,17,32	3.6867	87.3	0.6072	0.9736
9	线路末段	15,17,30,33	4.1022	76.4	0.7280	0.9737