【作者】 蔡瑞忠； 余圣方； 王健夫； 吕崇德；

【Author】 CAI Ruizhong, YU Shengfang, WANG Jianfu, LU Chongde Thermal Engineering Department, Tsinghua University, Beijing 100084, China Beijing Tongfang Electronic Science and Technology Co., Ltd, Beijing 100085, China

【机构】 清华大学热能工程系； 北京同方电子科技有限公司；

【摘要】 流体网络实时仿真计算涉及大型稀疏非线性“病态”方程组的求解问题,是电站实时仿真建模中最复杂的计算问题之一。针对方程的非线性特性,基于Newton-Raphson方法,提出了一种改善收敛特性的迭代方法。改进后的方法具有大范围收敛特性。针对Jacobi矩阵的特点,采用有效的稀疏矩阵方法求解矩阵方程,以保证仿真的实时性。基于物理概念,给出了小流量及“孤岛”情况下“病态”Jacobi矩阵的数值处理方法。更多还原

【Abstract】 The simulation of fluid network involves issues of non-liner, large, sparse matrix and stiff equations, and perhaps is the most challenging task in the plant simulation. Based on characteristics of non-linear equations, an improved iteration method is put forward in this paper, with a good convergence property as compared with the original Newton-Raphson method. An efficient spare matrix algorithm is also used to guarantee the simulation process to have a real time nature. The method dealing with the "stiff" problem occurred in the zero flow path and isolated islands is discussed.更多还原