含混合型潮流控制器的电力系统稳态潮流计算

doi:10.16183/j.cnki.jsjtu.2024.008

摘要/Abstract

摘要：

混合型潮流控制器(HPFC)与统一潮流控制器(UPFC)相比,不但能实现相同的控制功能,而且成本更低,具有广阔的应用前景.但HPFC装置结构复杂,控制参数难以准确、快速求解,使得校核其容量较为困难.针对上述问题,提出一种适用于电力系统联合潮流计算的HPFC稳态数学模型.首先,建立带有附加节点的HPFC等效模型,结合叠加原理得到HPFC的功率注入模型.然后,在HPFC中划分一个等效电压源,依据控制目标计算等效电压源电压,根据相关电压配置规则计算其控制参数.最后,借助数据交换接口实现软件MATLAB与PSD-BPA的数据交互,求解含HPFC大电网潮流控制计算.仿真算例验证了本文模型和所提计算方法的准确性和有效性.

关键词: 混合型潮流控制器, 稳态模型, 功率注入法, 柔性交流输电系统

Abstract:

Hybrid power flow controller (HPFC) not only achieves the same control functions, but also has lower cost and broad application prospects compared with unified power flow controller (UPFC). However, the complex structure of the HPFC device and the difficulty in accurately and rapidly determining its voltage control parameters make it challenging for verifying the capacity of the HPFC. To address the above problems, a steady-state mathematical model for HPFC applicable to power flow calculations of power systems is proposed. Initially, an equivalent model for HPFC with additional nodes is established, and the power injection model for HPFC is derived by applying the superposition principle. Subsequently, an equivalent voltage source is delineated within HPFC, and the voltage of the equivalent voltage source is computed based on control objectives. Then, the voltage control parameters for HPFC are calculated according to relevant voltage configuration rules. Finally, data exchange between MATLAB and PSD-BPA software is achieved by utilizing a data exchange interface, facilitating power flow control calculations for large power grids incorporating HPFC. The accuracy and effectiveness of the proposed HPFC model and calculation method are verified by simulated examples.

Key words: hybrid power flow controller (HPFC), steady-state model, power-injected method, flexible alternating current transmissior system (FACTS)

中图分类号:

TM744

吴熙, 关辰皓, 蔡晖, 王瑞, 陈曦. 含混合型潮流控制器的电力系统稳态潮流计算[J]. 上海交通大学学报, 2025, 59(11): 1675-1683.

WU Xi, GUAN Chenhao, CAI Hui, WANG Rui, CHEN Xi. Steady-State Power Flow Calculation of Power System with Hybrid Power Flow Controller[J]. Journal of Shanghai Jiao Tong University, 2025, 59(11): 1675-1683.

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测试情况	${V}_{se}^{p.u.}$	θ_se/rad	${V}_{cr}^{p.u.}$	θ_cr/rad
情况1	0.0077	1.6742	0.1000	-2.0944
情况2	0.0440	-2.2037	0.0500	-2.0944
情况3

算例	控制目标	${V}_{se}^{p.u.}$	θ_se/rad	${V}_{cr}^{p.u.}$	θ_cr/rad
1	${P}_{ref}^{p.u.}$=-0.2,${Q}_{ref}^{p.u.}$=-0.5	0.0077	1.6739	0.1000	-2.0944
2	${P}_{ref}^{p.u.}$=-0.2,${Q}_{ref}^{p.u.}$=0.5	0.0176	-2.0244	0.1000	-1.0472
3	${P}_{ref}^{p.u.}$=0.2,${Q}_{ref}^{p.u.}$=-0.3	0.0250	-1.2967	0.0500	2.0944
4	${P}_{ref}^{p.u.}$=0.4,${Q}_{ref}^{p.u.}$=0.5	0.0180	2.4889	0.0866	0.5236
5	${V}_{ref}^{p.u.}$=0.98	0.0086	2.5198	0	0
6	${V}_{ref}^{p.u.}$=1.00	0.0227	0.1969	0	0
7	${V}_{ref}^{p.u.}$=1.02	0.0043	1.1361	0.0500	0
8	${V}_{ref}^{p.u.}$=1.04	0.0183	2.9703	0.1000	0

算例	控制目标	${V}_{se}^{p.u.}$	θ_se/rad	${V}_{cr}^{p.u.}$	θ_cr/rad
1	${P}_{ref}^{p.u.}$=-0.2,${Q}_{ref}^{p.u.}$=-0.5	0.0078	1.6904	0.1000	-2.0944
2	${P}_{ref}^{p.u.}$=-0.2,${Q}_{ref}^{p.u.}$=0.5	0.0172	-2.0462	0.1000	-1.0472
3	${P}_{ref}^{p.u.}$=0.2,${Q}_{ref}^{p.u.}$=-0.3	0.0248	-1.2982	0.0500	2.0944
4	${P}_{ref}^{p.u.}$=0.4,${Q}_{ref}^{p.u.}$=0.5	0.0179	2.5211	0.0866	0.5236
5	${V}_{ref}^{p.u.}$=0.98	0.0084	2.5173	0	0
6	${V}_{ref}^{p.u.}$=1.00	0.0225	0.2004	0	0
7	${V}_{ref}^{p.u.}$=1.02	0.0042	1.1572	0.0500	0
8	${V}_{ref}^{p.u.}$=1.04	0.0185	2.9711	0.1000	0

算例	控制目标	受控对象实际值	HPFC控制参数
算例	控制目标	受控对象实际值	${V}_{se}^{p.u.}$	θ_se /rad	${V}_{cr}^{p.u.}$	θ_cr/rad
1	${P}_{ref}^{p.u.}$=0.5,${Q}_{ref}^{p.u.}$=0.5	${P}_{nj}^{p.u.}$=0.5012,${Q}_{nj}^{p.u.}$=0.4954	0.0243	2.0199	0.2500	2.0944
2	${P}_{ref}^{p.u.}$=0.4,${Q}_{ref}^{p.u.}$=-0.4	${P}_{nj}^{p.u.}$=0.3955,${Q}_{nj}^{p.u.}$=-0.4012	0.0354	1.8129	0.2253	2.8798
3	${P}_{ref}^{p.u.}$=-1.0,${Q}_{ref}^{p.u.}$=0.5	${P}_{nj}^{p.u.}$=-0.9950,${Q}_{nj}^{p.u.}$=0.4952	0.0129	0.4431	0.1083	0.5236
4	${P}_{ref}^{p.u.}$=-1.5,${Q}_{ref}^{p.u.}$=-0.5	${P}_{nj}^{p.u.}$=-1.4991,${Q}_{nj}^{p.u.}$=-0.4990	0.0274	2.8421	0.1875	-1.0472
5	${V}_{ref}^{p.u.}$=0.98	${V}_{n}^{p.u.}$=0.9810	0.0105	2.0310	0.2500	-1.0472
6	${V}_{ref}^{p.u.}$=1.00	${V}_{n}^{p.u.}$=1.0008	0.0151	-2.7239	0.2253	-0.7854
7	${V}_{ref}^{p.u.}$=1.02	${V}_{n}^{p.u.}$=1.0202	0.0281	-0.4229	0.1654	-0.6981
8	${V}_{ref}^{p.u.}$=1.04	${V}_{n}^{p.u.}$=1.0391	0.0263	1.2439	0.2165	-0.5236