Consider a transfer function (H(s)) that has a double pole at zero, a single pol
ID: 1810941 • Letter: C
Question
Consider a transfer function (H(s)) that has a double pole at zero, a single pole at negative 1000, a single zero at negative 100 and a gain of 250.
A) Express H(j?) in standard form for drawing a Bode plot.
B) Plot the Bode straight-line approximation for the log-magnitude (LM) response of H(j?) over the range ? = 10 rad/s to ? = 100 krad/s using the 4-cycle semi-log graph paper. Label all slopes in dB/oct or dB/dec and all levels in dB.
C) Plot the Bode straight-line approximation phase plot (i.e., f(?) vs. ?) for the transfer function over the range ? = 10 rad/s to ? = 100 krad/s using the 4-cycle semi-log graph paper provided. Label all slopes in degrees/dec and all levels in degrees.
Explanation / Answer
A) H(s) = 100*(s+100)/[s^2(s+100)]
H(jw) = 100( jw+100)/[ w^2(jw+1000)]
= 10( j0.01w+1)/[ w^2(j0.001w+1)]
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