# ECE 552

## ECE 552 - Numerical Circuit Analysis

### Spring 2020

TitleRubricSectionCRNTypeHoursTimesDaysLocationInstructor
Numerical Circuit AnalysisCSE532E62583DIS41400 - 1520 T R  4070 Electrical & Computer Eng Bldg Ibrahim N Hajj
Numerical Circuit AnalysisECE552E62579DIS41400 - 1520 T R  4070 Electrical & Computer Eng Bldg Ibrahim N Hajj

### 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

### 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.

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.