CAJ | 학술논문

三相有源配电网无功优化本质上属于非线性非凸规划问题，目前尚缺乏严格的有效求解方法。针对配电网辐射状运行特点，文中建立了基于支路潮流形式的配电网的三相无功优化模型，然后采用二阶锥松弛技术将原始优化模型转化为具有凸可行域的数学规划形式。考虑电容器等离散的补偿设备后，模型进一步扩展为含离散变量的混合整数二阶锥规划模型。该模型可被现有优化算法包高效求解。采用IEEE 33节点和 IEEE 123节点系统进行算例分析，验证了所提出的方法的寻优稳定性和计算高效性。
삼상유원배전망무공우화본질상속우비선성비철규화문제，목전상결핍엄격적유효구해방법。침대배전망복사상운행특점，문중건립료기우지로조류형식적배전망적삼상무공우화모형，연후채용이계추송이기술장원시우화모형전화위구유철가행역적수학규화형식。고필전용기등리산적보상설비후，모형진일보확전위함리산변량적혼합정수이계추규화모형。해모형가피현유우화산법포고효구해。채용IEEE 33절점화 IEEE 123절점계통진행산례분석，험증료소제출적방법적심우은정성화계산고효성。
The reactive power optimization in distribution networks with distributed generators is a nonlinear and non-convex problem in essence and one hard to get an optimal solution.In light of the radial operation characteristic of the distribution network,this paper develops a three-phase reactive power optimization model based on branch power flow equations.Then the original reactive power optimization model is converted to a mathematical programming form with a convex feasible zone based on the second-order cone relaxation technology. Further, the model is extended to a mixed integer second-order cone programming model by taking the discrete compensation devices (such as capacitors) into account.The model can easily be solved by existing optimization solvers.Numerical tests on an IEEE 33-bus and IEEE 123-bus distribution system show that the proposed method is capable of efficient global optimal solution.