考虑碳捕集技术的电力系统双层优化配置

Bi-level optimal allocation of power system considering carbon capture technology

碳捕集与封存技术是实现“双碳”目标的有效手段,在考虑碳交易机制的基础上提出了一种含电转气、燃气轮机、碳捕集系统、风电场联合运行的低碳经济双层优化配置模型。上层优化目标为最小化系统碳相关成本;下层优化目标为最小化系统运行成本,其中考虑了系统运行约束,决策变量包括发电机组有功出力、电转气功率、碳捕集装配。为求取所提双层优化模型的最优均衡解,利用KKT条件将双层优化问题转换为单层优化问题,再利用McCormick将二次规划单层问题转换成可直接求解的混合整数线性优化问题,并利用CPLEX求解器对模型进行求解。最后,对IEEE 30节点系统进行仿真,验证了所提模型和方法的有效性,同时采用双层模型在一定程度上减少了系统总成本,提高了减排率。

Carbon capture and storage technology is an effective means to achieve “double carbon” target. Based on the carbon trading mechanism,a low-carbon economics bi-level optimal allocation model considering the joint operation of power to gas,gas turbine,carbon capture system and wind farm is proposed. The upper-level optimization objective is to minimize the system carbon related cost,while the lower-level optimization objective is to minimize the system operation cost,which takes the system operational constraints into consideration,and the decision variables contain active power output of generation unit,power of power to gas and carbon capture assembly. To solve the optimal equilibrium solution of the proposed bi-level optimization model,the KKT condition is used to transform the bi-level optimization problem into a single-level optimization problem. Then,the single-level quadratic programming is converted into the mixed integer linear optimization problem that can be directly solved by using McCormick,meanwhile the CPLEX solver is used to solve the model. Finally,the simulation on IEEE 30-bus system verifies the effectiveness of the proposed model and method. At the same time,adopting the bi-level optimization model reduces the system total cost and increases the emission reduction rate to a certain extent.