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ECE 552 - Numerical Circuit Analysis

Last offered Spring 2020

Official Description

Formulation of circuit equations; sparse matrix algorithms for the solution of large systems, AC, DC, and transient analysis of electrical circuits; sensitivity analysis; decomposition methods. Course Information: Same as CSE 532. Prerequisite: MATH 415 and ECE 210.

Subject Area

  • Integrated Circuits and Systems

Course Director

Description

Formulation of circuit equations; sparse matrix algorithms for the solution of large systems, AC, DC, and transient analysis of electrical circuits; sensitivity analysis; decomposition methods.

Notes

Same as CSE 532.

Topics

  • Network topology: circuit equation formulation; nodal analysis; modified nodal analysis
  • Solution of linear circuit equations: LU factorization; relaxation methods
  • Sparse matrix techniques for circuit equation solution: decomposition techniques
  • DC solution of nonlinear circuits: fixed-point; Newton's methods; modified Newton's method; relaxation methods; Gauss-Seidel method, piecewise-linear solution techniques
  • Transient analysis: numerical integration; linear multistep methods; stability; accuracy, step control, companion models; time-domain decomposition methods; relaxation methods; analysis sequencing; latency; timing analysis
  • Sensitivity analysis: small-change and large-change sensitivities
  • Reduced-order modeling

Detailed Description and Outline

Topics:

  • Network topology: circuit equation formulation; nodal analysis; modified nodal analysis
  • Solution of linear circuit equations: LU factorization; relaxation methods
  • Sparse matrix techniques for circuit equation solution: decomposition techniques
  • DC solution of nonlinear circuits: fixed-point; Newton's methods; modified Newton's method; relaxation methods; Gauss-Seidel method, piecewise-linear solution techniques
  • Transient analysis: numerical integration; linear multistep methods; stability; accuracy, step control, companion models; time-domain decomposition methods; relaxation methods; analysis sequencing; latency; timing analysis
  • Sensitivity analysis: small-change and large-change sensitivities
  • Reduced-order modeling

Same as CSE 532.

Texts

Collateral Reading

Class notes.
J. Vlach and K. Singhal, Computer Methods for Circuit Analysis & Design, Van Nostrant Reinhold Co., 2nd ed., 1994.
L. T. Pillage, R. A. Rohrer and C. Visweswariah, Electronic and System Simulation Methods, McGraw-Hill, Inc., 1995.

TitleSectionCRNTypeHoursTimesDaysLocationInstructor
Numerical Circuit AnalysisE62579DIS41400 - 1520 T R  4070 Electrical & Computer Eng Bldg Ibrahim N Hajj