Integer constraints in a Cournot model - an application to electricity market modelling
研究了在古诺竞争模型中纳入发电机组启动成本等整数约束，通过随机均衡模型和Gauss-Seidel算法求解，发现忽略整数约束会夸大价格操纵行为的影响，尤其在高可再生能源渗透率时结果不准确。
Abstract The costs associated with electricity generation include costs that are independent of their marginal output, such as the cost of starting their units, and constraints such as minimum generation levels. Modelling these costs and constraints requires integer formulation of the units, and so they have typically been ignored in electricity market modelling and simulation to date. We present a stochastic equilibrium model to include these costs and constraints in a Cournot game. We solve it using the Gauss-Seidel diagonalization algorithm and apply it to a model of the power system of the island of Ireland for varying levels of variable renewable power generation. We find that the impacts of integer modelling are non-trivial, and are heterogeneous across firms and wind levels. Furthermore, excluding integer modelling exaggerates the impact of price-making behaviour. We conclude that neglecting integer constraints in power system market models leads to inaccurate results, particularly at high penetrations of renewable energy sources.