Large step size electromagnetic transient simulations by matrix transformation-based shifted-frequency phasor models

• Published in: IET generation, transmission & distribution Vol. 14; no. 15; pp. 2890 - 2900
• Main Authors: Ye, Xiaohui, Tang, Yong, Shu, Dewu
• Format: Journal Article
• Language: English
• Published: The Institution of Engineering and Technology 03.08.2020
• Subjects: EMTP; instantaneous frequency‐band phasor values; instantaneous frequency‐band phasor waveforms; larger time‐step; large‐scale AC grid; low‐frequency dynamics; matrix algebra; matrix transformation‐based shifted‐frequency phasor models; power grids; power system transient stability; protection strategies; Research Article; SFP models; shifted frequency phasor modelling; simulation efficiency; simulation models; specific matrix transformations; step size electromagnetic transient simulations; traditional electromagnetic transient model; transient stability model; wide frequency‐band phasor values; wide frequency‐band phasor waveforms; protection strategies; simulation models; large-scale AC grid; instantaneous frequency-band phasor values; EMTP; instantaneous frequency-band phasor waveforms; simulation efficiency; low-frequency dynamics; shifted frequency phasor modelling; power system transient stability; specific matrix transformations; wide frequency-band phasor waveforms; matrix algebra; step size electromagnetic transient simulations; larger time-step; wide frequency-band phasor values; traditional electromagnetic transient model; matrix transformation-based shifted-frequency phasor models; SFP models; power grids; transient stability model
• ISSN: 1751-8687; 1751-8695; 1751-8695
• DOI: 10.1049/iet-gtd.2019.1005

To evaluate and improve the performances of control and protection strategies for large-scale AC grids, simulation models that can adopt a much larger time-step, provide instantaneous and wide frequency-band phasor values simultaneously are desirable. However, the traditional electromagnetic transient (EMT) model is numerically expensive and the transient stability (TS) model only preserves low-frequency dynamics. To resolve these issues, the shifted frequency phasor (SFP) modelling is generalised based on specific matrix transformations and SFP models of typical components in large-scale AC grids are derived hereafter. Unlike traditional models, the SFP models can produce instantaneous and wide frequency-band phasor waveforms simultaneously, while the latter matches the envelopes of the former exactly. Moreover, the simulation efficiency is dramatically improved by adopting a much larger time-step. The performance concerning the accuracy and efficiency is compared with the traditional EMT and TS models by simulating a practical large-scale AC grid under different scenarios.