The matrix D describing relations of the loops to the nodes in the graph and also the setsof branches based on the independent loops and their matrix Q are defined.The theorem in whichthe product of the loop-node matr...The matrix D describing relations of the loops to the nodes in the graph and also the setsof branches based on the independent loops and their matrix Q are defined.The theorem in whichthe product of the loop-node matrix D multiplied by the incidence matrix A<sub>a</sub> is equal to matrix Qis put forward and proved.The admittance matrix Y<sub>lc</sub> of the sets of the branches is defined and it isassumed that the vector V<sub>lc</sub> of voltage of the sets of branches to be a calculative quantity.The equa-tion of the sets of branches is derived and the analysis method of the sets of branches based on theindependent loops in the electric network is presented.展开更多
对于电路节点分析法,作者提出了一种直接通过对节点编号的适当排序而使得所建立的方程组在 LU 分解中填入节点最少的方法,并给出了实现这种排序的具体方法——直观法和系统法。该法具有存储量少、计算量也少的特点。文中还任选了一个电...对于电路节点分析法,作者提出了一种直接通过对节点编号的适当排序而使得所建立的方程组在 LU 分解中填入节点最少的方法,并给出了实现这种排序的具体方法——直观法和系统法。该法具有存储量少、计算量也少的特点。文中还任选了一个电路,通过对节点任意编号,按廷奈-沃克算法及本法编号所产生的填入计算,足以说明上述结论的正确性。展开更多
文摘The matrix D describing relations of the loops to the nodes in the graph and also the setsof branches based on the independent loops and their matrix Q are defined.The theorem in whichthe product of the loop-node matrix D multiplied by the incidence matrix A<sub>a</sub> is equal to matrix Qis put forward and proved.The admittance matrix Y<sub>lc</sub> of the sets of the branches is defined and it isassumed that the vector V<sub>lc</sub> of voltage of the sets of branches to be a calculative quantity.The equa-tion of the sets of branches is derived and the analysis method of the sets of branches based on theindependent loops in the electric network is presented.
文摘对于电路节点分析法,作者提出了一种直接通过对节点编号的适当排序而使得所建立的方程组在 LU 分解中填入节点最少的方法,并给出了实现这种排序的具体方法——直观法和系统法。该法具有存储量少、计算量也少的特点。文中还任选了一个电路,通过对节点任意编号,按廷奈-沃克算法及本法编号所产生的填入计算,足以说明上述结论的正确性。