ECE 382/Spring 2010/Test 2/RSR

From PrattWiki
Jump to: navigation, search

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