I just ran the math on this. Assuming that you can only measure voltage
magnitude (not phase), you need to use a capacitor and an inductor as the loads.

Assume that the power source is a voltage with a series resistance R and series
reactance jX (where X can be positive or negative). If you do the voltage
divider magnitude calculations for each load, you will get equations in R², X²,
X, and a constant.  In each equation, the coefficient of R² and X² will be the
same. One equation  can be multiplied by a constant to make the coefficients for
R² and X² the same in both equation. When the equations are subtracted, the
difference is an equation in X and a constant, so the value of X is found. This
value of X can be substituted back into either equation to solve for R.

If a resistor is used as a load, the voltage divider magnitude calculation
yields an equation in R², X², R, and a constant. It is not possible to combine
this with one of the other voltage divider magnitude equations and come up with
an equation with a single unknown variable.

Don Borowski
Schweitzer Engineering Labs
Pullman, WA





John Woodgate <j...@jmwa.demon.co.uk> on 09/19/2002 08:55:53 AM

Please respond to John Woodgate <j...@jmwa.demon.co.uk>

To:   emc-p...@majordomo.ieee.org
cc:    (bcc: Don Borowski/SEL)
Subject:  Re: Measuring AC Line Impedance



I read in !emc-pstc that Spencer, David H <david.spen...@usa.xerox.com>
wrote (in <052106A55179D611B34300096BB02E3F8B1D@USAMCMS4>) about
'Measuring AC Line Impedance' on Thu, 19 Sep 2002:

>Is anyone familiar with a method to measure and calculate those values.  The
>generic values I have for short circuit condition (which include 4 wires in
>a magnetic conduit) come out higher than my measured values, and those do
>not include the motor generator source.

Put a large capacitor (mains voltage rated) across the mains and measure
the voltage change; it may actually increase. You need about 50 uF to
get a decent change on 120 V 60 Hz mains. With that result and the one
with the resistive load, you can calculate the source impedance as an R
and L in series.

I'd be interested to learn the result.
--
Regards, John Woodgate, OOO - Own Opinions Only. http://www.jmwa.demon.co.uk
Interested in professional sound reinforcement and distribution? Then go to
http://www.isce.org.uk
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