【正文】
rcuit has N meshes, the meshcurrent equations as the resistances term is PSUT Methods of Analysis 59 ?????????????????????????????????????NNNNNNNNvvviiiRRRRRRRRR????????? 2121212222111211or simply Rv = i where R : the resistance matrix, i : the output vector, v : the input vector ?Write the node voltage matrix equations PSUT Methods of Analysis 60 ?The circuit has 4 nonreference nodes, so ?The offdiagonal terms are PSUT Methods of Analysis 61 6 2 112181 ,4181813 2 118151 ,1015144332211???????????????GGGG ,1 ,0 , ,0111 ,81 ,0 ,51434241343231242321141312??????????????????????????GGGGGGGGGGGG?The input current vector i in amperes ?The nodevoltage equations are PSUT Methods of Analysis 62 642 ,0 ,321 ,3 4321 ?????????? iiii??????????????????????????????????????????????6 0 33 . 6 2 51 0 . 1 2 5 1 0 0 . 1 2 5 .50 0 . 1 2 5 0 1 0 . 1 2 5 . 3 2 51 0 . 20 0 0 . 2 .30 4321vvvv?Write the mesh current equations PSUT Methods of Analysis 63 ?The input voltage vector v in volts ?The meshcurrent equations are PSUT Methods of Analysis 64 6 ,0 ,6612 ,6410 ,454321????????????vvvvv???????????????????????????????????????????????????????????60664 4 3 0 1 0 3 8 0 1 0 0 0 9 4 21 1 4 01 20 0 2 2 9 54321iiiii Nodal Versus Mesh Analysis ?Both nodal and mesh analyses provide a systematic way of analyzing a plex work. ?The choice of the better method dictated by two factors. ● First factor : nature of the particular work. The key is to select the method that results in the smaller number of equations. ● Second factor : information required. PSUT Methods of Analysis 65 Summery 1. Nodal analysis: the application of KCL at the nonreference nodes ● A circuit has fewer node equations 2. A supernode: two nonreference nodes 3. Mesh analysis: the application of KVL ● A circuit has fewer mesh equations 4. A supermesh: two meshes PSUT Methods of Analysis 66