具有变量范围约束的潮流算法在OPF中的应用

Optimal Power Flow Calculation Based on Power Flow Algorithm Considering Constraints of Variable Ranges

提出一类新的电力系统最优潮流(OPF)算法。运用函数变换法模拟变量不等式约束,建立具有变量范围约束的潮流方程,并将目标函数与其上限值构成优化目标方程,与变量范围约束潮流方程一起组成扩展的变量范围约束潮流方程。该方程为非线性不定方程组。逐次收缩目标函数上限值,运用广义逆矩阵和牛顿—拉夫逊法求解,将OPF问题转化为一系列求解非线性不定方程组的一维优化逼近过程。介绍了以最小发电费用为目标的潮流优化问题和以最小有功网损为目标的无功优化问题的新算法,通过实例验证了算法的实用性。

A new optimal power flow （OPF） algorithm is proposed. Using function transformation method to translate variable inequality equations to equality equations and constructing optimization equation with object function and its higher limit, the extended power flow equations with constraints of variable ranges are found, The equations are nonlinear and indefinite equations. By decreasing the higher limit of the object function step by step, applying method of the generalized inverse of matrices and Newton-Raphson method, the optimization process is turned into a series of one dimensional optimization of the nonlinear indefinite equations resolution. The new algorithm is illustrated through examples of minimizing generation cost in OPF and minimizing active loss in reactive power optimization. Case studies show the practicability of the algorithm.