Transcription of S-Domain Analysis - CAE Users
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Example: air traffic controller
S-Domain Analysis - CAE Users
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)(tiR)()(tRitvR R=Resistor:_+)(sVRR)(sIR)()(sRIsVRR=Resi stor:_+)(tvLL)(tiLdttdiLtvLL)()(=Inducto r:_+_+)(sVLLs)0(LLi)(sIL)0( )()(LLLLisLsIsV =Inductor:_+)(tvCC)(tiC)0( )(1)(0 CtCCvdiCtv+= Capacitor:_+_+)(sVCCs1svC)0()(sICs)(vsIC ssVCCC0
s-Domain Circuit Analysis Time domain (t domain) Complex frequency domain (s domain) Linear Circuit Differential equation Classical techniques Response
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