传统的对称分量法适用于理想换位的三相对称输电线路,对于不对称程度较大的不换位单回输电线路,其结果误差较大。为获得更精确的结果,采用模分量法,该方法的关键是求解相模变换矩阵。考虑了架空地线对不换位线路阻抗矩阵的影响,并运用微扰理论,通过构造因不换位造成的阻抗矩阵微扰量,可以求解出不同精度的相模变换矩阵。将求得的变换矩阵用于模分量理论进行故障分析,所得的计算结果与实际结果相比误差很小,验证了该方法的可行性。
A new multi-objective particle swarm optimization (MOPSO) technique for environmental/economic dispatch (EED) is proposed. Infeasible solutions can be revised to feasible ones by designing specific constraints correction factor. And on the basis of that, a new fitness function model for multi-objective particle swarm is built based on the penalty function method. The historical set and global set for non-dominated solutions are formed, according to the Pareto dominant conditions. A crowding distance-based approach is introduced to assign the global leader. Moreover, a new technique called slope method is proposed to further filter the non-dominated solutions based on the slope characteristics of the Pareto optimal front (POF). Then, fuzzy mathematical method for satisfaction evaluation is employed to extract the best compromise solution over the POF. Finally, several optimization runs of the proposed algorithm are carried out on the standard IEEE 30-bus test system, the results validate that the proposed method is feasible and effective.