215%2BCh3Student - 3. ANALYSIS TECHNIQUES CIRCUITS by Ulaby...

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Unformatted text preview: 3. ANALYSIS TECHNIQUES CIRCUITS by Ulaby & Maharbiz LED Lighting Illumination Spectra Lighting Efficiency Expanding LED Illumination Spectrum Using Phosphor to Expand Spectrum Lighting Economics Node-Voltage Method Node 1 Node 2 Node 3 Node 2 Node 3 Node-Voltage Method Three equations in 3 unknowns: Solve using Cramers rule, matrix inversion, or MATLAB Example: Dependent Source Supernode Current through voltage source is unknown Less nodes to worry about, less work! Write KVL equation for supernode Write KCL equation for closed surface around supernode A supernode is formed when a voltage source connects two extraordinary nodes KCL at Supernode Note that internal current in supernode cancels, simplifying KCL expressions Takes care of unknown current in a voltage source = Example 3-3: Supernode Determine: V1 and V2 Solution: Supernode What are the node equations? Mesh-Current Method Example 3-5: Mesh Analysis Mesh 1 Mesh 2 Mesh 3 But Hence Supermesh A supermesh results when two meshes have a current source( with or w/o a series resistor) in common Voltage across current source is unknown Write KVL equation for closed loop that ignores branch with current source Write KCL equation for branch with current source (auxiliary equation) Example 3-6: Supermesh Mesh 2 SuperMesh 3/4 Mesh 1 Supermesh Auxiliary Equation Solution gives:...
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215%2BCh3Student - 3. ANALYSIS TECHNIQUES CIRCUITS by Ulaby...

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