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What is the constant factor and how to calculate frequency in .PZ analysis results?

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pswatw

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Table 24-4: Pole/Zero Analysis Results
Poles (rad/sec) Poles (hertz)
Real Imag Real Imag
-1.798766e+06 0.000000e+00 -2.862825e+05 0.000000e+00
-1.126313e+08 -6.822910e+07 -1.792583e+07 -1.085900e+07
-1.126313e+08 6.822910e+07 -1.792583e+07 1.085900e+07

Zeros (rad/sec) Zeros (hertz)
Real Imag Real Imag
-1.315386e+08 7.679633e+07 -2.093502e+07 1.222251e+07
-1.315386e+08 -7.679633e+07 -2.093502e+07 -1.222251e+07
7.999613e+08 0.000000e+00 1.273178e+08 0.000000e+00

Constant Factor=3.103553e-01

HI:
I have two questions about .pz analysis.
1) how to calculator the frequency of Pole and Zero from Real and Imag ??
2) What is Constant Factor mean ??

THANKS!!
 

lijianheng

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Re: .PZ Analysis Results

for 1), sqrt(R**2+I**2)/2pi, is it right?
 

Hunter_BJUT

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.PZ Analysis Results

1) form system state equations, using matrix.
2) contant for the transfer function
H(s)=K*(1+s/z1).../(1+s/p1)(1+s/p2)....
constant K is that.
 

renwl

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Re: .PZ Analysis Results

Hunter_BJUT said:
1) form system state equations, using matrix.
2) contant for the transfer function
H(s)=K*(1+s/z1).../(1+s/p1)(1+s/p2)....
constant K is that.
from the H(s), the constant K is the gain, right?

I have tried the simple RC circuit for the PZ analysis. it's strange. K=4e-2.
I dont kow why
 

RDRyan

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.PZ Analysis Results

If we define:
H(s)=K*(s+z1)...*(s+zn)/(s+p1)(s+p2) ...

then the K is the gain, and after .pz analysis, the result constant K will be the same as that.

Ryan
 

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