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Methods of Analysis PSUT 1 Basic Nodal and Mesh Analysis AlQaralleh Methods of Analysis PSUT Methods of Analysis 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. PSUT Methods of Analysis 4 Common symbols for indicating a reference node, (a) mon ground, (b) ground, (c) chassis. Lect4 EEE 202 5 1. Reference Node The reference node is called the ground node where V = 0 + – V 500W 500W 1kW 500W 500W I1 I2 Lect4 EEE 202 6 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。 express currents in terms of node voltages. 4. Solve the resulting system of linear equations for the nodal voltages. Lect4 EEE 202 9 Currents and Node Voltages 500W V1 500W V1 V2 W?50021 VVW5001VLect4 EEE 202 10 3. KCL at Node 1 500W 500W I1 V1 V2 W?W??5005001211VVVILect4 EEE 202 11 3. KCL at Node 2 500W 1kW 500W V2 V3 V1 0500k1500 32212 ?W??W?W? VVVVVLect4 EEE 202 12 3. KCL at Node 3 2323500500 IVVV ?W?W?500W 500W I2 V2 V3 Lect4 EEE 202 13 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 14 + – V 500W 500W 1kW 500W 500W I1 I2 4. Summing Circuit Solution Solution: V = 167I1 + 167I2 PSUT Methods of Analysis 15 Typical circuit for nodal analysis PSUT Methods of Analysis 16 3222121iiIiiII?????Rvvi l o w e rh i g h e r ??2333