基于矩阵摄动理论的微电网建模与优化控制

针对微电网系统稳定性和输出一致性问题，提出了一种优化控制方法.首先，建立了微电网系统小信号模型、系数矩阵和增量摄动矩阵，解决了系统特征值求解过程中的计算量大的问题.在此基础上，以稳定性、阻尼比和稳定裕度为性能指标建立了初次优化目标函数，矩阵摄动理论与人工鱼群算法相结合，对系统进行了初次优化控制.同时，为了保证微电网中各微源输出的频率和电压一致性，建立了再次优化目标函数，应用人工鱼群算法对系统进行了再次优化控制.最后通过仿真验证了所提控制策略的正确性与有效性.

Modeling and Optimal Control for Microgrid Using Matrix Perturbation Theory

Aiming at the issue of microgrid system stability and output consensus， an optimal control method was proposed . The small signal model， coefficient matrix and an incremental perturbation matrix of microgrid system were established， which solved the problem that caused by large computation in the solution of system eigenvalues. On this basis， the objective function of the initial optimization was established by taking the stability， damping ratio and stability margin as the performance indexes. Combining the matrix perturbation theory with the artificial fish swarm algorithm， the initial optimal control of the system was achieved. Meanwhile， in order to ensure the consensus of frequency and voltage of the output of each micro-source in microgrid， the further optimization objective function was established and the artificial fish swarm algorithm was applied a second time for the further optimal control of the system. Finally， the simulation results show that the proposed control strategy is of validity and effectiveness.