Model of circuit elements is the relationships between electrical quantities at terminals.
Constitutive relations between:
➔ current and voltage: resistor
➔ charge and voltage: capacitor
➔ current and flux: inductor
➔ charge and flux: memristor
Important features in modeling:
- linearity (What are the implications?)
- smoothness is essential for robustness and requirement for some algs.
Modified Nodal Analysis (SPICE)
- e.g. KCL, KVL
Newton-Raphson Method
LU Factorization
Numberical Alg. for solving ODEs/DAEs
DAE Linearization
AC Analysis
Sensitivity Analysis
Noise Analysis
Stochastic Modelling and Simulation
Model Reduction (macromodeling)
- whitebox vs. blackbox approaches
Monday, July 13, 2009
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