本論文應用混合差分演化法於電力系統之最佳虛功調度問題。虛功調度是藉調整控制變數並滿足一些運轉限制條件,使得實功損失或其它目標函數為最小的一種調度方法。基本上,它屬於一種典型的混合整數非線性規劃問題,其目標函數不僅具有非線性特性,並存在多重區域最佳解。由於混合差分演化法是一種極優的最佳化搜尋工具,因此非常適合於求解此類問題。為驗證所提出方法的可行性,論文中並與基本的差分演化法及粒子群最佳化方法進行比較。本論文以IEEE 30個匯流排、六部發電機組系統及台電345kV簡化系統為例進行研究,結果顯示,混合差分演化法在收斂穩定性與解的品質上均優於基本的差分演化法及粒子群最佳化方法。
This thesis applies a hybrid differential evolution (HDE) method to the optimal reactive power dispatch (ORPD) problem. Based on the minimization of active power transmission losses or the other objectives, the reactive power dispatch is to adjust control variables subjected to some operating constraints. Basically, it is classically a mixed-integer and nonlinear programming problem. Its objectives not only posses nonlinear characteristic, but also exist multiple local optimum. Since HDE is an excellent optimization tool, it is very suitable to deal with the ORPD problem. To verify the effectiveness of the proposed method, comparisons will be made to the basic DE and particle swarm optimization (PSO) methods. Testing on IEEE 30-bus 6-generator and TPC-345 kV simplified systems have indicated that the HDE method is superior to the basic DE and PSO methods in terms of convergence stability and solution quality.