基于分布式神经动力学算法的微电网多目标优化方法

针对微电网多目标优化计算量较大问题,提出了一种考虑需求响应的微电网分布式神经动力学优化算法。首先考虑平均效率函数、微电网的排放、需求响应引起的不满意度以及总利润函数等因素建立多目标优化模型。然后应用单目标积公式将多目标优化问题转换为单目标优化问题,并证明了最优解是原始多目标问题的帕累托最优点。进一步使用对数障碍物惩罚因子处理不等式约束,利用Lasalle不变性原理和Lyapunov函数证明所提出的算法可以收敛到最优解。最后,通过仿真验证了所提方法可以在保证优化精度与收敛性条件下大大降低计算成本。

Multiple objective optimization of a microgrid based on a distributed neural dynamics algorithm

To solve the problem of large amounts of calculation in multi-objective optimization of a microgrid, a distributed neural dynamic optimization algorithm considering demand response is proposed. First, the multi-objective optimization model is established considering the average efficiency function, micro grid emissions, demand response-induced dissatisfaction and total profit function. Then, the multi-objective optimization problem is transformed into a single objective optimization problem using a single objective product formula, and it is proved that the optimal solution is the Pareto best of the original multi-objective problem. A logarithmic obstacle penalty factor is used to deal with inequality constraints, and the invariance principle of LaSalle and the Lyapunov function are used to prove that the proposed algorithm can converge to the optimal solution. Finally, the simulation results show that the proposed method can greatly reduce the calculation cost under while ensuring optimization accuracy and convergence. This work is supported by the Science and Technology Project of the Headquarters of State Grid Corporation of China (No. GY71-18-040).