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利用古诺(Cournot)模型研究了在联营模式下多时段水火电混合系统的纳什(Nash)均衡策略问题。首先建立了水火电系统的Cournot模型,模型中火电系统考虑了机组的最小开停机时间的限制,水电系统则考虑了用水量、库容限制等约束。同时,利用迭代法并结合动态规划对发电商的Nash均衡策略进行了求解。最后以IEEE6机系统为例研究了最小开停机时间和用水量限制等约束对均衡结果的影响。仿真结果表明,考虑最小开停机时间约束时,即使某些时段利润为负,但为了避免后续时段的持续停机使利润受到更大的损失,一些机组在这些时段仍需开机;考虑水电厂商用水量约束时,水电厂商有动力在高峰时段持留发电量。
The Cournot model was used to study the Nash equilibrium strategy for multi-period hydrothermal hybrid systems under the affiliate model. Firstly, the Cournot model of the hydrothermal power system was established. In the model, the thermal power system considers the limitation of the minimum on-time of the unit, while the hydropower system considers the constraints of water consumption and storage capacity constraints. At the same time, the Nash equilibrium strategy of generators is solved by iterative method and dynamic programming. Finally, taking the IEEE6 machine system as an example, the influence of constraints such as minimum on-time and water consumption limits on the equilibrium results is studied. The simulation results show that even considering the minimum open time constraint, even if the profit is negative during certain periods, in order to avoid continued loss of profits during the subsequent period, some units still need to be turned on during these periods; consider the water consumption of hydropower manufacturers. When constrained, hydropower companies have the incentive to retain power during peak hours.