Transcription of S-Domain Analysis
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Example: air traffic controller
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)()()(==tvti
Example: Formulating Node-Voltage Equations L iS (t) R C L t domain IS (s) R Cs 1 Ls s domain s iL(0) CvC (0) VA(s)I2(s) ( ) I1 s I3 s VB (s) Reference node Step 0: Transform the circuit into the s domain using current sources to represent capacitor and
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