The mathematical model of a wind power plant and a gas power plant


  • Matej Krpan
  • Igor Kuzle



wind power plant; gas power plant; primary frequency regulation; power system; MATLAB


To enable conduction of quality research of power system dynamics using computer simulation software, appropriate mathematical and simulation models have to be developed. In the last two decades, an exponential increase of installed wind power capacity can be observed, while the gas power plant capacity and energy production has also seen an increase in the recent years. Consequently, their impact on power system dynamics is no longer negligible. Furthermore, the increased penetration of wind power has led to a lot of research concerning frequency support capabilities from wind power plants (WPPs). In this paper, after a brief theoretical introduction, simplified system frequency response (SFR) simulation models of a generic wind power plant and a gas power plant have been developed in MATLAB. These generic models have been integrated with existing SFR models of a steam and hydro unit. The model contains a representation of under-frequency load shedding (UFLS) and demand response, as well. Graphical user interface (GUI) has been developed to control this expanded model.


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2022-06-21 — Updated on 2022-12-29