改进的信赖域内点算法在OPF中的应用  

Application of an Improved Trust Region Interior Point Algorithm in OPF

作　　者：陈吉[1] 韦化[1] 

机构地区：[1]广西大学电气工程学院,广西南宁530004

出　　处：《现代电力》2005年第6期13-17,共5页Modern Electric Power

基　　金：国家自然科学基金资助项目(50467001)

摘　　要：最优潮流的研究涌现出许多优秀方法。基于内点法的逐线性规划方法因其不需要形成海森阵及收敛精度处理灵活等优点,在电力系统中获得广泛应用。信赖域内点法可以很好地解决逐线性规划方法中的步长调整问题。文中基于现代内点理论提出一种改进的信赖域内点算法。新算法提出以下改进措施:①由常规潮流获得初始点,改善信赖域子问题可行性;②迭代中无须与潮流计算配合,增加算法通用性;③引入变量到信赖域子问题模型中确保计算的连续性;④改进信赖域子问题模型,提高计算精度;⑤调整收敛判据,加快计算速度;⑥由现代内点法求解信赖域子问题,并构造简约修正方程,减小计算量。用改进算法求解两类OPF问题。在IEEE14-300节点测试系统进行数值计算,表明所提出算法的正确性和有效性。Many outstanding methods have shown up on Optimal Power Flow. Successive linear programming based on interior point method has been widely applied in the power system for its advantage of flexible disposal of the tolerances and not having to shape the Hessen matrix. Trust region interior point method can settle the problem of adjusting step sizes on successive linear programming well. The paper deals with an improved trust region interior point method based on the modem interior point theory. The following improved measles are presented： ① The initial point is attained through the routine power flow calculation and the feasibility of the algorithm is amended accordingly; ②Enhancing the currency trait of the algorithm because of not including the power flow calculation; ③Insuring the continuity of the algorithm by introducing a variable into the trust region sub problem; ④Heightening the precision of the calculation by bettering the model of the trust region sub problem; ⑤Adjusting the tolerances to speed up the compatation; ⑥The modern interior point method is used to resolve the trust region sub problem and a reduced correction equation is derived to reduce the expenses of the computation. Two kinds of OPF problerm are resolved by the improved algorithm. Numerical computation on IEEE test systerm that range in size from 14 to 300, have shown that the proposed method is proper and efficient.

关 键 词：电力系统 最优潮流 逐线性规划 内点算法 改进 现代内点理论 

分 类 号：TM711[电气工程—电力系统及自动化]