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Tearing Algorithm I - Lecture Slides | ECE 449, Assignments of Electrical and Electronics Engineering

University of Arizona (UA)Electrical and Electronics Engineering

Material Type: Assignment; Class: Continuous-System Modeling; Subject: Electrical & Computer Engr; University: University of Arizona; Term: Fall 2003;

Typology: Assignments

Pre 2010

Uploaded on 08/31/2009

koofers-user-poh
koofers-user-poh 🇺🇸

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October 1, 2003 Start Presentation
4th Homework - Problems
• 4.1 Tearing Algorithm
• 4.2 Relaxation Algorithm
• 4.3 Tearing vs. Relaxation
October 1, 2003 Start Presentation
4.1 Tearing Algorithm I
Given the electrical circuit of the figure
on the left, determine a complete set of
equations in currents and Voltages (by
use of both node and mesh equations).
Make the equation system causal, while
trying to get by with two tearing
variables (and residual equations).
pf3

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October 1, 2003 (^) Start Presentation

4 th^ Homework - Problems

  • 4.1 Tearing Algorithm
  • 4.2 Relaxation Algorithm
  • 4.3 Tearing vs. Relaxation

October 1, 2003 (^) Start Presentation

4.1 Tearing Algorithm I

Given the electrical circuit of the figure

on the left, determine a complete set of

equations in currents and Voltages (by

use of both node and mesh equations).

Make the equation system causal, while

trying to get by with two tearing

variables (and residual equations).

October 1, 2003 (^) Start Presentation

Tearing Algorithm II

  • Solve symbolically for the tearing variables, and find replacement equations for the two residual equations, which permit to make the entire set of equations causal.
  • Find an explicit DAE system by completely sorting the equations both horizontally and vertically.

October 1, 2003 (^) Start Presentation

4.2 Relaxation Algorithm I

  • Apply the relaxation algorithm to the same electrical circuit.
  • For determining the sequence of equations and variables, make use of the following heuristics: Make the equations causal in the same way as for Problem 4.. Start with the first residual equation. It is being placed as the last equation , whereby the corresponding tearing variable is the last variable. Number the equations, which can be made causal on the basis of the assumption that the tearing variable is already known, starting with equation #1 , and set the variables for which these equations are being solved also at the beginning of the list of variables, starting with variable #1. In this way, the diagonal elements can be normalized to 1.