A direct nonlinear primal -dual path following interior point algorithm to solve the OPF with UPFC is presented , and the optimization results of three test systems validate its effectiveness.

• 本文应用直接非线性原一对偶路径跟踪内点算法进行求解，并给出了3个试验系统的优化计算结果，验证该方法的有效性。