Analytical Method to Aggregate Multi-Machine SFR Model With Applications in Power System Dynamic Studies

• Published in: IEEE transactions on power systems Vol. 33; no. 6; pp. 6355 - 6367
• Main Authors: Shi, Qingxin, Li, Fangxing, Cui, Hantao
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.11.2018; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Computer simulation; Control stability; Demand response; Dynamic models; Dynamic stability; Frequency control; Frequency response; Frequency stability; Load modeling; Mathematical model; Model reduction; multi-machine; Power system dynamics; renewable energy penetration; Simulation; System frequency response (SFR)
• ISSN: 0885-8950; 1558-0679
• DOI: 10.1109/TPWRS.2018.2824823

The system frequency response (SFR) model describes the average network frequency response after a disturbance and has been applied to a wide variety of dynamic studies. However, the traditional literature does not provide a generic, analytical method for obtaining the SFR model parameters when the system contains multiple generators; instead, a numerical simulation-based approach or the operators' experience is the common practice to obtain an aggregated model. In this paper, an analytical method is proposed for aggregating the multi-machine SFR model into a single-machine model. The verification study indicates that the proposed aggregated SFR model can accurately represent the multi-machine SFR model. Furthermore, the detailed system simulation illustrates that the SFR model can also accurately represent the average frequency response of large systems for power system dynamic studies. Finally, three applications of the proposed method are explored, with system frequency control, frequency stability, and dynamic model reduction. The results show the method is promising with broad potential applications.