The coordination between primary and secondary frequency control based on differential games

As the electric power grid is becoming continually huge, complicated and smart, one of the most big problems is how to coordinate a large number of varied controllers. This paper introduces differential games theory as a new method to deal with it. The coordination between primary and secondary frequency control is taken for example: its differential game model is established and open-loop Nash equilibrium is solved. The simulation on a two area connected system shows that the proposed method can relieve the conflict between primary and secondary frequency control, and that the application of differential games theory in the field of power system coordinated control is feasible and resultful.

[1]  Jacob Engwerda,et al.  Uniqueness conditions for the affine open-loop linear quadratic differential game , 2008, Autom..

[2]  P. Varaiya,et al.  Differential games , 1971 .

[3]  Liu He-sen Research on the coordination of AGC and primary frequency regulation based on CPS , 2009 .

[4]  G. Feichtinger,et al.  Differential game models in management science , 1983 .

[5]  Charles E. Fosha,et al.  The Megawatt-Frequency Control Problem: A New Approach Via Optimal Control Theory , 1970 .

[6]  E. Dockner,et al.  Differential Games in Economics and Management Science: Stochastic differential games , 2000 .

[7]  David W. K. Yeung,et al.  Cooperative Stochastic Differential Games , 2005 .

[8]  Ralph K. Cavin,et al.  An Optimal Linear Systems Approach to Load-Frequency Control , 1971 .

[9]  P. S. Nagendra Rao,et al.  A reinforcement learning approach to automatic generation control , 2002 .

[10]  Leon A. Petrosyan,et al.  A cooperative stochastic differential game of transboundary industrial pollution , 2008, Autom..

[11]  Zeng Huoqiong Analysis of Matching Between AGC and PFR in Hydropower Stations , 2008 .

[12]  S. Clemhout,et al.  Interactive economic dynamics and differential games , 1979 .

[13]  Ngo Van Long,et al.  Differential Games in Economics and Management Science: List of tables , 2000 .

[14]  Jacob Engwerda,et al.  The Open-Loop Linear Quadratic Differential Game for index one Descriptor Systems , 2008 .

[15]  J. Nanda,et al.  Application of optimal control strategy to automatic generation control of a hydrothermal system , 1988 .