03 - Analysis Methods

03 - Analysis Methods - EECS 215 Analysis Methods Circuit...

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EECS 215 Analysis Methods J. Phillips EECS 215 Circuit Analysis Circuits can be complex, where do we start? Examine two powerful techniques for systematic analysis using KVL, KCL + - + - 2V 9A 2 + - v y )v y (2 1 1 (3 i x i x 2 + - a b V ab V1 V3 V4 V2 Objective: find all current flows or all voltage drops

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J. Phillips EECS 215 Nodal Analysis Systematic application of KCL Assign one node as “ground”, reference voltage Label remaining nodes 1 to n-1 Apply KCL at each node (write equation in terms of voltage at node) Solve system of equations to find voltage at each node Node 1 Solve for v 1 and v 2 () 0 2 2 1 1 1 2 1 = R v v R v I I Node 2 ( ) 0 3 2 2 2 1 2 = + R v R v v I J. Phillips EECS 215 Nodal Analysis Example 4 8 2 4 3A 2i x i x Setup node equations v 1 v 2 v 3 How can/should we solve our system of equations?
J. Phillips EECS 215 Solving Systems Of Equations Previous example ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) 11 1 123 0.750 0.500 0.250 3 0.500 0.875 0.125 0 0.750 1.125 0.375 0 VVV A A A −− − +Ω+ −Ω+ −Ω= +Ω=

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03 - Analysis Methods - EECS 215 Analysis Methods Circuit...

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