用广义特征值法求解变压器绕组中快速暂态电压  

Calculation of fast transient voltage distributions in transformer windings using generalized eigenvalue method

作　　者：杨钰[1] 王赞基[1] 

机构地区：[1]清华大学电机工程与应用电子技术系电力系统及发电设备控制和仿真国家重点实验室,北京100084

出　　处：《清华大学学报（自然科学版）》2010年第5期696-699,共4页Journal of Tsinghua University(Science and Technology)

基　　金：国家自然科学基金资助项目(50577034)

摘　　要：为了满足大型变压器线圈中快速暂态仿真计算的需要,将广义特征值法应用于以线匝为单元的线圈等值电路的求解。在忽略损耗或者在电导矩阵可近似地并入电容矩阵的情况下,将电路方程转化为只含有电容矩阵和倒电感矩阵的方程,不但保证了系数矩阵主对角线元素的均匀性,而且可以采用广义特征值法求解,提高了求解电路的规模和解的有效性,并大大节省计算时间。提出了2种从频域解变换到时域解的方法,具有各自的优点。实例计算表明该文方法可用于大型变压器线圈的快速暂态分析。The generalized eigenvalue method was used to solve the turn-based equivalent circuit model of the winding to satisfy the requirements of fast transient simulation of power transformer windings.Under the assumption that the losses can be ignored or the conductance can be merged into capacitance by a factor,the equations are simplified with only capacitance matrix and inverse inductance matrix.The diagonal elements of the coefficient matrices have the same value level,with the generalized eigenvalue method being able to solve the equations.The equation dimension and the solution validation considerably increase with the computing time significantly saved.Two methods were also presented with different validations and advantages for inverting solutions from frequency domain to time domain.Calculational results show that the proposed method can be used in fast transient simulation of large power transformer windings.

关 键 词：电力变压器 特快速暂态仿真 集总参数模型 多传输线模型 广义特征值 

分 类 号：TM13[电气工程—电工理论与新技术]