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ECE225L Prelab 9: Circuit Damping Factor and Natural Frequency Calculation, Lab Reports of Electrical Circuit Analysis

Boise State University (BSU)Electrical Circuit Analysis

Instructions for prelab 9 of ece225l, an electrical engineering course. Students are required to use given measurements and equations to calculate the damping factor and natural frequency of a circuit. They will then find the roots of the quadratic polynomial related to the circuit's transfer function.

Typology: Lab Reports

Pre 2010

Uploaded on 08/19/2009

koofers-user-ucw-1 🇺🇸

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Download ECE225L Prelab 9: Circuit Damping Factor and Natural Frequency Calculation and more Lab Reports Electrical Circuit Analysis in PDF only on Docsity! ECE225L PRELAB #9 DUE: TUESDAY, APRIL 7, 2009 Given the following measurements: Tp (ms) Mp (V) 3.63 1.16 PLA-1: Use Equation (27), Mp = 1 + e−πζ/ √ 1−ζ2 to show that: ζ = √√√√ ln2(Mp − 1) π2 + ln2(Mp − 1) and compute a numerical value of the damping factor ζ. Is the circuit underdamped, critically- damped, or overdamped? (Explain and underline the correct answer.) PLA-2: Compute a numerical value of the natural frequency ωn (rad/s) using Equation (26), Tp = π ωn √ 1− ζ2 and the previously-calculated value of ζ. PLA-3: Substitute the values of ζ and ωn into the following quadratic polynomial and compute numerical values for its (complex) roots: P (s) = s2 + 2ζωns + ω2n = 0

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