Article,
Vector-Norm Based Truncation of Harmonic Transfer Functions in Black-Box Electronic Power Systems
Contributors
Liao, Yicheng
0000-0002-3759-8793
[1]
Sandberg, Henrik
0000-0003-1835-2963
[2]
Wang, Xiong-Fei
0000-0002-6327-9729
(Corresponding author)
[2]
[3]
Affiliations
- [1] Energinet, Elnetanalyse, DK-7000 Fredericia, Denmark [NORA names: Energinet; Private Research; Denmark; Europe, EU; Nordic; OECD];
- [2] KTH Royal Inst Technol, Sch Elect Engn & Comp Sci, S-10044 Stockholm, Sweden [NORA names: Sweden; Europe, EU; Nordic; OECD];
- [3] Aalborg Univ, AAU ENERGY, DK-9220 Aalborg, Denmark [NORA names: AAU Aalborg University; University; Denmark; Europe, EU; Nordic; OECD]
Abstract
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.
