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CSE245

# CSE245 - CSE245 Computer-Aided Circuit Simulation and...

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CSE245: Computer-Aided Circuit Simulation and Verification Lecture Note 3 Model Order Reduction (1) Spring 2008 Prof. Chung-Kuan Cheng

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Outline Introduction Formulation Linear System Time Domain Analysis Frequency Domain Analysis Moments Stability and Passivity Model Order Reduction
Transfer Function State Equation in Frequency Domain ( suppose zero initial condition) Express Y(s) as a function of U(s) Solve X Transfer Function:

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Stability A network is stable if, for all bounded inputs, the output is bounded. For a stable network, transfer function H(s)=N(s)/D(s)
Passivity Passivity Passive system doesn t generate energy A one-port network is said to be passive if the total power dissipation is nonnegative for all

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Passivity in Complex Space Representation For steady state response of a one-port The complex power delivered to this one-port is For a passive network, the average power delivered to the network should be nonnegative
Linear Multi-Port Passivity For multi-port, suppose each port is either a voltage source or a current source For a voltage source port, the input is the voltage and the output is a current For a current source port, the input is the current and the output is a voltage Average power delivered to this multi-port network is For a passive network, we should have

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