CAJ | 학술논문

为有效处理无功优化模型中不等式约束且不扩大问题的规模,建立了与无功优化问题的库恩-塔克(KKT)条件等价的新模型.通过引入对角矩阵,消去KKT系统中关于界约束的互补关系,减少了变量维数,并采用一类求解带界约束非线性方程组的仿射尺度信赖域算法.该算法具有信赖域的全局搜索性和牛顿法的超线性收敛性,并可保持无功界约束的可行性.对IEEE-30、57、118节点系统进行仿真计算,并与常规非线性优化方法比较,结果表明该方法具有较好的收敛特性和计算效果.
위유효처리무공우화모형중불등식약속차불확대문제적규모,건립료여무공우화문제적고은-탑극(KKT)조건등개적신모형.통과인입대각구진,소거KKT계통중관우계약속적호보관계,감소료변량유수,병채용일류구해대계약속비선성방정조적방사척도신뢰역산법.해산법구유신뢰역적전국수색성화우돈법적초선성수렴성,병가보지무공계약속적가행성.대IEEE-30、57、118절점계통진행방진계산,병여상규비선성우화방법비교,결과표명해방법구유교호적수렴특성화계산효과.
In order to effectively deal with inequality constraints of reactive power optimization model and not to expand the scale of the problem, the paper develops a new model equivalent to the KKT system of reactive power optimization. Through the introduction of a diagonal matrix,the complementary relationship on the constraints of the KKT system is eliminated and the variable dimension is reduced. For the new model, an affine-scaling trust-region algorithm for nonlinear equations with bounds is used. The algorithm has global search characteristic of trust region and the super-linear convergence characteristic of Newton method, and retains the feasibility of boundary constraints for reactive power. Case studies on the IEEE- 30,57,118-bus system show that comparing with the LP method, the new algorithm has better convergency and computation results.