《电路》课程教学资源（PPT课件）第十五章 电路方程的矩阵形式

支345612回541010-107「B,13B= 200-111103010-162B,B,u[Blu=O可写成[B=0usu,[u, ] =[u,] =u,ususUoBu,+u-0u-But连支电压用树支电压表示矩阵形式的KCL：BTi]=[i]

[ B ][ u ]= 0 可写成 [ 1 ] = 0       l t t u u B Btut+ul=0 ul= - Btut               =           = 6 5 4 3 2 1 u u u u u u u ul t 1 ２ ３ ６ ４ ５ = [ Bt 1 ] 1 2 3 B = 回 支4 5 6 1 2 3 1 -1 0 1 0 0 1 -1 1 0 1 0 0 1 -1 0 0 1 Bt Bl 矩阵形式的KCL： [ B ]T[ i l ]=[ i ] 连支电压用树支电压表示

矩阵形式的KCL：[B]T[i]=[i］]540i+i:53-i-i+is116i-i0623i1W2诊0/B,itB[B]"[i]B=[Bt 1 ]=inBri =i树支电流用连支电流表出

                            − − − 3 2 1 1 0 0 1 1 0 0 1 0 1 1 1 0 0 1 0 1 1 i i i                   =                   − − − + + = 3 2 1 6 5 4 3 2 1 2 3 1 2 3 1 2 i i i i i i i i i i i i i i i i 1 ２ ３ ６ ４ ５ 矩阵形式的KCL： [ B ]T[ i l ]=[ i ] B=[ Bt 1 ]       = 1 [ ] T T Bt B        =      l t l T t i i i B [ ] 1 l t T t  B i = i 树支电流用连支电流表出