复系数牛顿法在电力系统稳定性仿真中的应用

针对中国电力系统稳定性分析中采用的部分恒阻抗、部分恒功率负荷模型，提出了一种复系数牛顿法求解非线性网络方程。该方法用于传统的发电机组和网络方程交替求解的仿真算法，以解决恒功率负荷模型引起的非线性问题。复系数牛顿法避免了重复稀疏算法中的因子表分解过程，同时可以采用简捷的复数数据结构。因而该方法提高了分析速度，也保证了仿真算法的精度。算法收敛后相当于采用隐式梯形法对电力系统进行了一次数值积分。该算法在

COMPLEX COEFFICIENT NEWTON METHOD AND ITS APPLICATION IN DYNAMIC SIMULATION OF POWER SYSTEM

A complex coefficient Newton method is proposed for application in power system dynamic simulation. A two-level algorithm is used to deal with the nonlinear algebraic equations obtained by applying the trapezoidal formula to the system differential equations at each simulation interval. The complex coefficient Newton method is used in the internal-level iteration for a solution of network with constant complex power loads. Continued with the solution of an internal iteration, an external iteration is carried out for each synchronous generator. The advantage of the two-level iteration algorithm is that the burden in repetition of evaluation of the Jacobian matrix is avoided. Simulation result on the 10-generator 39-bus New England test power system is given to verify the effectiveness, reliability and robustness of the algorithm.