基于高阶数值积分的恒导纳-双值电流源开关模型

doi:10.19595/j.cnki.1000-6753.tces.241544

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Abstract With the promotion and application of power electronics technology in power systems, the system topology changes caused by high-frequency switches present new challenges for the electromagnetic transient simulation of power electronic systems. As a prerequisite and foundation of electromagnetic transient simulation, the power electronic switch model is a key factor affecting simulation accuracy and efficiency. The L/C fixed-admittance switch model is one of the most widely used power electronic switch models. This model has the advantages of a fixed admittance matrix and high real-time simulation efficiency, but its transient errors and virtual power loss affect simulation accuracy. This paper proposes a constant admittance-binary current source (CA-BCS) switch model based on high-order numerical integration.
Firstly, by studying the various equivalent structures of switches in the ON and OFF states, the optimal equivalent structures for capacitor and inductor branches are selected based on stability. It ensures the CA-BCS model exhibits strong stability and suppresses numerical oscillations and virtual power loss. Secondly, a high-order numerical integration based on arbitrary algebraic precision is proposed as the discretization approach. The optimal parameters are determined according to constraints such as constant admittance, steady-state characteristics, and transient characteristics, reducing steady-state and transient errors. Finally, the steady-state stabilization technique is introduced to improve the calculation method for the historical current source in the traditional fixed-admittance model, further reducing virtual power loss. The steady-state stabilization technique can also address the high computational load associated with high-order numerical integration.
A real-time simulation hardware platform of a two-level converter is built to verify the effectiveness of the proposed switch model and steady-state stabilization technique. The simulation results show that compared to traditional fixed-admittance, the maximum virtual power loss of the CA-BCS model and the continuous oscillation time can be reduced by 83%~98% and 33%~36%, respectively. The high-order integration and steady-state stabilization technique effectively shortens the transient convergence process of switches, reduces transient errors and virtual power loss, and improves model accuracy.
The following conclusions can be drawn. (1) The equivalent switch structure of the CA-BCS model has strong stability and can effectively suppress the numerical oscillation. (2) By determining the optimal parameters based on constraints, the CA-BCS model retains the computational advantage of a fixed admittance matrix while improving steady-state and transient performance. (3) The performance of the CA-BCS model is stable and not affected by factors such as load type, simulation step size, and switch frequency. (4) The steady-state stabilization technique effectively reduces virtual power loss, which can be independently applied to general fixed-admittance switch models. The proposed numerical integration can be applied for switch modeling and transient response analysis in power systems, circuit differential equation solving, and other fields. Future research will focus on the pre-solution of historical current sources.

Key words： Power electronic switch L/C fixed-admittance model virtual power loss numerical integration steady-state stabilization

Received: 02 September 2024

PACS:	TM721
	TM46

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	Du Jinpeng
	Wang Kang
	Wang Guangsen
	Liu Zhu

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Du Jinpeng,Wang Kang,Wang Guangsen等. A Constant Admittance-Binary Current Source Switch Model Based on High-Order Numerical Integration[J]. Transactions of China Electrotechnical Society, 2025, 40(19): 6242-6256.

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https://dgjsxb.ces-transaction.com/EN/10.19595/j.cnki.1000-6753.tces.241544 OR https://dgjsxb.ces-transaction.com/EN/Y2025/V40/I19/6242

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