Game Model of Thermal Power Capacity Planning Considering Environmental Constraint

Abstract

Rational planning of thermal power capacity is one of the main measures to reduce emissions. According to air pollution control plan, different environmental capacity regions provide different constraints to the scale of thermal power plants. With the development of electric market, unified relationship among thermal power plants has been changed to gambling one. To solve the above new problems emerged in the area of thermal power capacity planning, this paper pre- sents a game model for thermal power capacity planning considering the constraint of environmental capacity. In this game-theory-based model, the thermal environmental adaptability factor, that reflecting the adaptability of environmental capacity to thermal power in different regions, is brought into the traditional profit function. Consequently, proper thermal power planning capacity adapting to environmental capacity could be obtained to provide support and basis for govern- ment regulation and enterprise decision. The effectiveness of the proposed model is validated by a series test results of different scale power planning examples. based on its own actions and its competitors. The traditional thermal power planning model taking all power plants as a whole to optimize is no longer valid today, while game theo- ry provides a method to solve the above problems (10, 11). The game model of thermal power planning can reflect in- fluence and restriction among all the thermal power plants. To solve the above problems, this paper starts with estab- lishment of a game model of thermal power plants without environmental constraint, indicating an inevitable trend of excessive expansion of the scale of thermal power plant planning capacity. Then according to the Nash equilibrium solution of the model, environmental adaptability scale fac- tor for thermal power plant is proposed to prevent excessive expansion. Finally a game model for thermal power plants considering constraint of environmental capacity is set up to ensure the adaptability between thermal power planning ca- pacity and restriction of environment. Test results of differ- ent scale power planning examples show the effectiveness of this new proposed model.