基于功率损失指数的配电网无功补偿装置两阶段多目标优化配置方法研究*

doi:10.11985/2023.04.026

摘要/Abstract

摘要：

开展了计及功率损失指数的两阶段无功补偿多目标优化配置方法的研究，以解决目前配网无功优化问题求解时效不佳，且容易陷入局部最优解的问题。以有功损耗、无功补偿装置购买费用、安装费用以及运行费用最小化为综合目标函数，引入罚函数建立基于功率损失指数的两阶段无功补偿装置配置多目标优化模型，应用鮣鱼优化算法求解带约束条件优化问题，获得无功补偿装置的最佳安装位置和容量，通过在IEEE-34和PG-69系统中的仿真算例验证了所提方法的性能。仿真结果表明，考虑功率损失指数，可进一步有效降低网络损耗、提高节点电压分布水平、降低设备成本费用，同时缩短优化问题求解时间。此外，所采用的鮣鱼优化算法具有更强的全局最优解搜索能力，可以更好地适应配电网负荷水平的变化及分布式电源的接入。

关键词: 无功补偿, 优化配置, 功率损失指数, 罚函数, 鮣鱼优化算法

Abstract:

In view of the fact that the current distribution network reactive power configuration optimization problem has poor solution efficiency and is easily trapped into local optimum, a study on the multi-objective optimal configuration of two-stage reactive power compensation considering power loss indices is carried out. A multi-objective optimal configuration model for two-stage reactive power compensation devices in power grids based on the power loss index is developed with the objective functions of minimizing loss cost, purchase cost, installation cost, and operation cost, and introducing penalty functions to solve the optimal installation location and capacity of reactive power compensation devices in power grids under constrained conditions using the remora optimization algorithm. The proposed method is validated by simulations carried out on IEEE-34 and PG-69 systems. The simulation results show that by considering the power loss index, it can effectively further reduce the network losses, improve the node voltage distribution level, and reduce the equipment cost and expense, while shortening the solution time of the optimization problem. In addition, the remora optimization algorithm used has a stronger global optimal solution search capability, which can better adapt to changes in the distribution network load level and the access of distributed power sources.

Key words: Reactive power compensation, optimal allocation, power loss index, penalty function, remora optimization algorithm

中图分类号:

TM08

郭挺, 陈中豪, 徐良德, 杨帆. 基于功率损失指数的配电网无功补偿装置两阶段多目标优化配置方法研究^*[J]. 电气工程学报, 2023, 18(4): 239-250.

GUO Ting, CHEN Zhonghao, XU Liangde, YANG Fan. Research on the Two-stage Multi-objective Optimal Configuration Method of Reactive Power Compensation Devices in Power Grid Based on Power Loss Index[J]. Journal of Electrical Engineering, 2023, 18(4): 239-250.

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对比指标	IEEE-34节点			PG-69节点
对比指标	无补偿	鮣鱼优化	鮣鱼优化+功率损失指数	无补偿	鮣鱼优化	鮣鱼优化+功率损失指数
有功损耗/kW	221.72	173.91	169.53	226.47	156.62	153.56
最小电压/p.u.	0.941 6	0.948 3	0.950 7	0.908 9	0.928 2	0.932 3
无功配置(节点/容量kVar)	—	BUS26/817.91 BUS13/636.45	BUS24/701.86 BUS20/816.25	—	BUS50/1 000 BUS48/210.61	BUS51/979.36 BUS49/233.21
成本费用/元	97 113.36	82 683.72	82 620.69	99 193.86	74 007.34	73 839.15
电容器费用/元	—	7 632.29	7 921.49	—	6 537.70	6 546.56
优化求解时间/s	—	2.72	1.92	—	4.26	3.53

对比指标	IEEE-34节点			PG-69节点
对比指标	方法1	方法2	方法3	方法1	方法2	方法3
有功损耗/kW	169.53	170.12	171.49	153.56	154.67	154.41
最小电压/p.u.	0.950 7	0.948 6	0.948 6	0.932 3	0.928 7	0.929 3
无功配置(节点/容量kVar)	BUS24/701.86 BUS20/816.25	BUS25/370.20 BUS24/276.40 BUS21/298.20 BUS20/573.13	BUS25/590.03 BUS21/857.36	BUS51/979.36 BUS49/233.21	BUS52/825.60 BUS49/387.59	BUS53/205.25 BUS51/978.38
成本费用/元	82 620.69	83 523.92	82 723.58	73 839.15	74 293.27	74 038.84
电容器费用/元	7 921.49	9 010.75	7 606.58	6 546.56	6 549.36	6 416.33
优化求解时间/s	1.92	1.25	2.02	3.53	2.69	3.72
最差值/元	87 361.52	85 423.60	89 399.04	89 962.27	85 288.35	79 047.01
均值/元	82 649.74	83 536.80	82 757.93	73 875.31	74 387.65	74 131.33
方差	62 097.48	20 465.45	105 578.84	521 930.11	718 890.92	166 520.63
标准差	249.19	143.06	324.92	722.44	847.87	408.07

对比指标	IEEE-34节点系统			PG-69节点系统
	负荷系数			负荷系数
	1	0.8	0.6	1	0.8	0.6
有功损耗/kW	169.53	111.26	47.54	153.56	100.44	60.42
最小电压/p.u.	0.950 7	0.959 5	0.977 3	0.932 3	0.951 9	0.954 6
无功配置(节点/容量kVar)	BUS24/701.86 BUS20/816.25	BUS24/649.91 BUS21/783.66	BUS26/549.98 BUS21/870.59	BUS51/979.36 BUS49/233.21	BUS52/215.92 BUS50/968.20	BUS51/1 000 BUS50/32.71
成本费用/元	82 620.69	56 952.32	28 369.52	73 839.15	49 774.73	31 717.77
电容器费用/元	7 921.49	7 541.10	7 482.59	6 546.56	6 417.74	5 737.15
优化求解时间/s	1.92	1.84	1.75	3.53	3.42	3.38

接入信息	IEEE-34节点系统		PG-69节点系统
接入信息	1 DG	2 DG	1 DG	2 DG
接入节点	BUS 26	BUS 26, 11	BUS 53	BUS 53, 17
容量/kVar	2 086	1 400, 850	1 700	1 560, 618.78

对比指标	IEEE-34节点			PG-69节点
对比指标	无DG	1 DG	2 DG	无DG	1 DG	2 DG
有功损耗/kW	169.53	61.20	48.33	153.56	46.90	34.31
最小电压/p.u.	0.950 7	0.976 1	0.982 5	0.932 3	0.969 7	0.985 2
无功配置/(节点/容量kVar)	BUS24/701.86 BUS20/816.25	BUS26/611.33 BUS20/881.79	BUS26/119.63 BUS25/623.86	BUS51/979.36 BUS49/233.21	BUS50/547.67	BUS50/473.40
成本费用/元	82 620.69	35 310.13	26 766.35	73 839.15	22 066.13	16 469.02
电容器费用/元	7 921.49	7 809.10	4 435.72	6 546.56	3 009.53	2 675.30
优化求解时间/s	1.92	1.86	1.78	3.53	3.44	3.36