Talk:ECE 382/Spring 2010/Test 2

From PrattWiki
Jump to: navigation, search

General Questions

Post general questions or requests for clarification here.

Community Equations

Requests

Requests for equations should go here. Start your request with an asterisk and end it with your signature, which is four tildes. For example:

* Damping ratio for a second-order system (4.39, p. 171)? ~~~~

will show up, for Dr. G, as:

  • Damping ratio for a second-order system? DukeEgr93 02:20, 23 March 2010 (EDT)
    • Will add DukeEgr93 22:41, 23 March 2010 (EDT)

Responses

The following is the list of approved or denied equations for Test 2 for ECE 382 Spring 2010. For an example equation sheet from Spring 2009, see: Equation Sheet

Approved

Chapter 2
  • Motor Equation (2.153)
Chapter 4
  • 1st Order Rise Time (4.9, 159)
  • 1st Order Settling Time (4.10, p. 159)
  • 2nd Order Peak Time (4.34, p. 171)
  • 2nd Order %OS (4.38, p. 171)
  • 2nd Order Damping Ratio (4.39, p. 171)
  • 2nd Order Settling time (4.42, p. 172)
  • 2nd Order Damped Frequency (4.44, p. 173)
  • 2nd Order Normalized Rise Time (footnote 5, p. 173)
Other
  • Geq from T for unity feedback
\begin{align}
G_{eq}&=\frac{T}{1-T}\\
T&=\frac{N_T}{D_T}\\
G_{eq}&=\frac{N_T}{D_T-N_T}
\end{align}
  • T from Geq for unity feedback
\begin{align}
T&=\frac{G_{eq}}{1+G_{eq}}\\
G_{eq}&=\frac{N_G}{D_G}\\
T&=\frac{N_G}{D_G+N_G}
\end{align}


Denied / Must Memorize / Not Needed

  • Motor transfer function constants (2.162 & 2.163, p. 79) - will not need
  • Transfer function from state space (3.73, p. 133) - will not need
  • General 2nd order transfer function (4.22, p. 166) - need to memorize
  • Mason's Rule (5.28, p. 240) - need to memorize that and what the terms mean.
  • Formula for system type, static error constants, and steady state errors (Table 7.2, p. 336) - need to memorize
Class Document Protection