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alysis 2 ? Introduction ? Nodal analysis ? Nodal analysis with voltage source ? Mesh analysis ? Mesh analysis with current source ? Nodal and mesh analyses by inspection ? Nodal versus mesh analysis Lect4 EEE 202 3 Steps of Nodal Analysis 1. Choose a reference (ground) node. 2. Assign node voltages to the other nodes. 3. Apply KCL to each node other than the reference node。 express currents in terms of node voltages. 4. Solve the resulting system of linear equations for the nodal voltages. Lect4 EEE 202 7 2. Node Voltages V1, V2, and V3 are unknowns for which we solve using KCL 500W 500W 1kW 500W 500W I1 I2 1 2 3 V1 V2 V3 Lect4 EEE 202 8 Steps of Nodal Analysis 1. Choose a reference (ground) node. 2. Assign node voltages to the other nodes. 3. Apply KCL to each node other than the reference node。 one is obtained using KVL and Ohm’s law to the supermesh and the other is obtained by relation regulated due to the current source. 6202262121?????iiiiPSUT Methods of Analysis 52 ?Similarly, a supermesh formed from three meshes needs three equations: one is from the supermesh and the other two equations are obtained from the two current sources. PSUT Methods of Analysis 53 0102)(8506)(8424434322124331???????????????iiiiiiiiiiiiiPSUT Methods of Analysis 54 Nodal and Mesh Analysis by Inspection PSUT Methods of Analysis 55 (a)For circuits with only resistors and independent current sources (b)For planar circuits with only resistors and independent voltage sources The analysis equations can be obtained by direct inspection ?the circuit has two nonreference nodes and the node equations PSUT Methods of Analysis 56 ?????? ??????????????????????????221213222212321222121121)()()()(IIIvvGGGGGGM A TR IXvGvvGIvvGvGII?In general, the node voltage equations in terms of the conductances is PSUT Methods of Analysis 57 ?????????????????????????????????????NNNNNNNNiiivvvGGGGGGGGG????????? 2121212222111211or simply Gv = i where G : the conductance matrix, v : the output vector, i : the input vector ?The circuit has two nonreference nodes and the node equations were derived as PSUT Methods of Analysis 58 ????????????????????????2121323331 vviiRRRRRR?In general, if the ci