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Unformatted text preview: CSE245: ComputerAided Circuit Simulation and Verification Lecture Note 3 Model Order Reduction (1) Spring 2008 Prof. ChungKuan Cheng 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: 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 oneport network is said to be passive if the total power dissipation is nonnegative for all Passivity in Complex Space Representation • For steady state response of a oneport • The complex power delivered to this oneport is • For a passive network, the average power delivered to the network should be nonnegative Linear MultiPort Passivity • For multiport, 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...
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This note was uploaded on 08/31/2011 for the course CSE 245 taught by Professor Staff during the Spring '06 term at UCSD.
 Spring '06
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