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本文建立了线性有源网络含理想电源支路时割集电压和回路电流的直接表达式。此表达式在保持原网络拓扑结构不变的情况下,用网络的拓扑矩阵和参数矩阵的分块矩阵表示,省去了大量的零元素,避免了网络分析时各稀疏矩阵中零元素的计算,同时亦降低了各运算矩阵的阶数。因此在电路的计算机辅助分析中利用本文导出的两表达式,可使求解简捷、明了,比用建立网络方程,然后解方程的方法大大减少了内存空间和运算机时,从而可以提高计算机分析网络的能力。
In this paper, a direct expression of the cut-off voltage and the loop current in a linear active network with an ideal power branch is established. This expression is represented by the block matrix of the network topology matrix and the parameter matrix while keeping the original network topology unchanged, eliminating a large number of zero elements and avoiding the calculation of zero elements in each sparse matrix in network analysis , But also reduces the order of the math matrix. Therefore, in the computer aided analysis of the circuit, the two expressions derived in this paper can make the solution simple and clear. Compared with the method of establishing a network equation and then solving the equation, the memory space and the computing machine are greatly reduced, thereby improving the computer analysis network Ability.