Steady-State Power Flow Calculation of Power System with Hybrid Power Flow Controller

doi:10.16183/j.cnki.jsjtu.2024.008

Abstract

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)

CLC Number:

TM744

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.

Figures/Tables 11

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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