Transcription of S-Domain Analysis
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S-Domain Analysis
S-Domain Analysiss-Domain Circuit AnalysisTime domain (t domain)Complex frequency domain (s domain)LinearCircuitDifferentialequation ClassicaltechniquesResponsewaveformLapla ce TransformInverse TransformAlgebraicequationAlgebraictechn iquesResponsetransformLL-1 Laplace TransformLTransformed CircuitKirchhoff s Laws in s-Domaint domains domainKirchhoff s current law (KCL)Kirchhoff s voltage law (KVL))(1ti)(4ti)(2ti)(3ti0)()()()(4321=+ +titititi0)()()()(4321=+ +sIsIsIsI0)()()(321=++ tvtvtv0)()()(321=++ sVsVsV +)(2tv +)(4tv +)(1tv +)(3tv +)(5tvSignal Sources in s DomainLLt domains domain)(tv_+)(tvS_+)(ticircuiton depends)()()(==titvtvSVoltage Source:_+)(sV)(sVS_+)(sIVoltage Source:circuiton depends)()()(==sIsVsVS+_)(tv)(tiS)(ticir cuiton depends)()()(==tvtitiSCurrent Source:)(sV)(sIS+_)(sICurrent Source:circuiton depends)()()(==sVsVsISTime and S-Domain Element ModelsImpedance and Voltage Source for Initial ConditionsTime DomainLLLs-Domain_+)(tvRR)(t
sources to represent capacitor and inductor initial conditions Step 1: Select a reference node. Identify a node voltage at each of the non-reference nodes and a current with every element in the circuit Step 2: Write KCL connection constraints in terms of the element currents at the non-reference nodes
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