考虑输电网功率因数的无功优化内点算法

摘要

建立了一种考虑输电网功率因数的无功优化模型,并分析了相应的现代内点算法.通过引入输电网功率因数约束,并在等式约束中增加线路传输功率约束,显著降低了求解过程中高阶修正方程系数矩阵的非零注入元素数目,为求解含大规模复杂不等式约束的问题提供了全新的思路.对多个测试系统进行计算的结果表明,算法能显著提高输电网功率因数,计算迅速且收敛性好,满足在线运行要求.%A model of reactive power optimization considering transmission network power factor is established and the corresponding modern interior-point algorithm is analyzed. By introducing the transmission network power factor constraints and adding the line transmitting power constraints to equality constraints, the non-zero injected elements of high order correction equation coefficient matrix are significantly reduced in the solving process. Thus a new way of thinking for solving the problems with large-scale and complex inequality constraints is provided. The calculative results of several test systems show that, the proposed algorithm can remarkably improve transmission network power factor, and has real-time performance and good convergence property, suitable for the on-line operation.