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Download ENG17 - SQ14 - Lecture 5 - Mesh and Source Transformations
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Transcript
Lecture 5: Mesh-Current & Source Transformations Nilsson & Riedel 4.5-4.9 ENG17 (Sec. 2): Circuits I Spring 2014 April 15, 2014 1 Overview • Mesh-Currents • Mesh-Current w/Dependent Source • Special Cases • Node-Voltage vs. Mesh-Current • Source Transformations 2 Go Mesh or Go Home • Mesh = loop with no other loops inside it • Mesh-Current Method needs [be – (ne – 1)] equations • Planar circuits only • Mesh current = current that exist only in the perimeter of a mesh • Mesh current ≠ Branch current – maybe 3 Mesh Currents 4 Strategy for Mesh-Current Analysis 1. Assign mesh currents. 2. Apply KVL to each mesh. – Use Ohm’s law to express voltages in terms of mesh currents 3. Solve the resulting simultaneous equations to get mesh currents. 4. Use mesh currents to find branch currents and/or any other parameter. 5 Evolution Branch Currents Mesh Currents 6 Example 7 Overview • Mesh-Currents • Mesh-Current w/Dependent Source • Special Cases • Node-Voltage vs. Mesh-Current • Source Transformations 8 (Don’t) Mesh It Up 9 Overview • Mesh-Currents • Mesh-Current w/Dependent Source • Special Cases • Node-Voltage vs. Mesh-Current • Source Transformations 10 Mesh with Current Source 11 Supermesh…Super Cool 12 Example 13 Overview • Mesh-Currents • Mesh-Current w/Dependent Source • Special Cases • Node-Voltage vs. Mesh-Current • Source Transformations 14 Node…Mesh…and all the rest • • • • Why are we here? Difficult answer Try to make life easier Supernodes or supermeshes? 15 Comparison 16 Overview • Mesh-Currents • Mesh-Current w/Dependent Source • Special Cases • Node-Voltage vs. Mesh-Current • Source Transformations 17 Source Transformations • Akin to series / parallel reductions and delta-to-wye transformation • Allows a voltage source with resistor in series to be replaced by current source in parallel with same resistor 18 Example 19 Additional Elements 20 Example 21 Recap • Mesh-Currents • Mesh-Current w/Dependent Source • Special Cases • Node-Voltage vs. Mesh-Current • Source Transformations 22
