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Vector-Norm Based Truncation of Harmonic Transfer Functions in Black-Box Electronic Power Systems
IEEE Open Journal of the Industrial Electronics Society Pub Date : 2022-02-01 , DOI: 10.1109/ojies.2022.3147486
Yicheng Liao 1 , Henrik Sandberg 2 , Xiongfei Wang 2
Affiliation  

Power systems equipped with power electronic converters can be modeled by harmonic transfer functions (HTFs) in a black-box manner for dynamic analysis. This paper studies the truncation of HTFs. It is proposed to define the gain function of an HTF as the norm of its central-column vector. Then, the error bound of the gain function in relation to the truncation order is explicitly derived, which can be used as an indicator for the HTF truncation. Compared with existing solutions, the proposed method is practical in truncating black-box systems with unknown internal parameters, since the truncation error bound can be estimated by the central-column elements of the HTF, which can be easily measured through frequency scan. The truncation approach is finally verified on a three-phase electronic power system by electromagnetic transient simulations.

中文翻译:

黑盒电力系统中谐波传递函数的向量范数截断

配备电力电子转换器的电力系统可以通过谐波传递函数 (HTF) 以黑盒方式进行建模,以进行动态分析。本文研究了 HTF 的截断。建议将 HTF 的增益函数定义为其中心列向量的范数。然后,明确导出增益函数与截断阶数相关的误差界,可以作为HTF截断的指标。与现有解决方案相比,该方法在截断具有未知内部参数的黑盒系统方面是实用的,因为截断误差界可以通过 HTF 的中心列元素估计,并且可以通过频率扫描轻松测量。最后通过电磁暂态仿真在三相电力系统上验证了截断方法。
更新日期:2022-02-01
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