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Capacitive leakage current single phase power transformer 1

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hhhansen

Electrical
Jan 14, 2004
61
I have some technical questions regarding single phase power transformers which I am not able to answer.

Please refer to attached PDF file. (Sorry for page 1 being up-side-down).

The electricity company of mine has installed two billing meters on a railway transformer. The main meter is connected to one of the metering cores on current transformer installed in L1. The control meter is connected to one of the metering cores on current transformer installed in L2. The exact same voltage (110 V) is passed to both meters from the capacitive voltage transformers.

The problem is fundamentally that the meters do not register the same amount of energy. MWh registration for main meter is consequently larger than MWh for control meter. In figures the differences is approximately 3% referred to MWh/year and this is far beyond the acceptable limit since billing meters are class 0,2 and current transformers are class 0,2s. I have set-up the measurement systems shown on page 1.

The theory of mine is that a differential current exists between L1 and L2 and that this current is passed to earth through the capacitive stray capacitances to earth, as indicated by the capacitive equivalent diagram (note that this is only my suggestion for a capacitive leakage current diagram).

In order to verify the theory I measure the differential current with a 5 A (RMS) precision current probe and passes the signal to channel 1 on a FLUKE435 power analyser. On the transformer there are two earthing connections and each current is measured by the same types of current probes. The signals are passed to channel 2 and 3 on FLUKE435..

On page 2 samples of measurements are presented.

- Looking first on 2) you will find the two earth current observed. The current probes are placed on the earthing wire with arrow corresponding to current from the tank and towards earth. What I don´t understand is why they are 180° out of phase ?.
- On 3) you see the sum of the earth current shown on figure 2. The peak value of the earthing current is approximately 500 mA and lots of fluctuations are observed.
- On 1) you see the result for the differential current (blue curve). The peak value is 10 mA on secondary and on 1) this is converted to the primary side by multiplication of 300/5 = 60. A. The red curve shows the difference between earthing current in case earthing current 2 is to be shifted 180° before adding it to Ie1 - However I am very much in doubt of this!.

If graphic 3) indicate the "true" earthing current due to earth leakage capacitance, I find it difficult to explain what happens with the differential current, which is physically observed by means of my recordings.

To eliminate any sources of errors I have considered removing just one of the earthing connection temporary while additional measurements are performed. Is this a good idea ?

I would appreciate very much some comments on this issue. Thank you.
 
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Capacitive current should not account for a difference in real energy.
 
Hi Stevenal
I don't agree with you. Capacitive load indirectly affect active power in terms of phase shifting of the current. Cos (phi) is changed and thus the active power.
B.R.
hhhansen
 
You tried stevenal.

Bill
--------------------
"Why not the best?"
Jimmy Carter
 
The active power won't necessarily change with changing power factor if the apparent power also changes :) You might get better mileage out of testing your meter and instrument transformer error, and checking the secondary circuits, than pursuing further investigation into capacitive charging currents.
 
- Looking first on 2) you will find the two earth current observed. The current probes are placed on the earthing wire with arrow corresponding to current from the tank and towards earth. What I don´t understand is why they are 180° out of phase ?.
This current is just sloshing back and forth - the two waveforms you see are the same current, heading towards each other. In other words, almost all the current heading to earth comes back via the other earth connection.

3) you see the sum of the earth current shown on figure 2. The peak value of the earthing current is approximately 500 mA and lots of fluctuations are observed.
This is the component of current that is not sloshing back and forth. It's all high frequency stuff, and basically negligible from a power point of view. In fact, I'd suggest that with great measurement precision you'd find the sum is even closer to zero.

On 1) you see the result for the differential current (blue curve). The peak value is 10 mA on secondary and on 1) this is converted to the primary side by multiplication of 300/5 = 60. A.
Yeah, seems reasonable. But as expected, it's basically symmetric. Every over-measurement you make due to common mode current, you make an equivalent under-measurement the next cycle. This will have negligible effect on your power measurement. Check the sums, but I expect you'll find even the shift in power factor is negligible.

I agree with mgtrp - look elsewhere.
 
If possible interchange the meters.
Or have the meters calibrated.
Check that the PTs are outputting equal voltages.
Or have the check meter calibrated and if it is accurate, call the utility and ask for a calibration on the billing meter and possibly a rebate.
Milli-Amps of quadrature current on a power transformer is a non issue. Look for calibration errors or metering circuit issues.

Bill
--------------------
"Why not the best?"
Jimmy Carter
 
I'll add one thing to waross's list:

Have the meters calibrated with your CTs attached.

Your CTs will be different from each other, and they will also be different from the high-precision current source that a calibration laboratory will use. Yes, these differences will be small, but they can certainly add up to 3% error over a year's time when periods of very low load are included. The accuracy of your CTs goes to pot below 10% load.



Best to you,

Goober Dave

Haven't see the forum policies? Do so now: Forum Policies
 
Hi
Thank you very much for the valuable replies, especially to LiteYear and Waross.

My comments to LiteYear´s reply:

I have also reached the conclusion that the two waveforms of the current are approximately the same current heading towards each other. The attached note explains this. The difference between the earthing current is with high frequency content and it would require FFT-analysis to deduct harmonic components.

I view of this I don´t see any other way than to reject the theory about capacitive leakage current being the source to the differential current recorded. As seen on 1) this reaches a peak value of 0,5 A.

I have made detailled calculation of errors in the measurement set-up and my conclusion is that the error on recorded MWh is about 0,2% and this can not explain the differences in recoded MWh/year of about 3% between meters.

To Waross:
We have interchanged the meters but this does to reveal anything further.
Meters have not been calibrated, however meters have been replaced by new meters - the problem still persists.
Equal voltage from the voltage transformer is passed to each meter.
If possible interchange the meters.
Milliamps registered are max. 10 mA differential current on current transformer secondary. Converting to primary it is 0,6 A.
 
 http://files.engineering.com/getfile.aspx?folder=bb07b314-43bd-4571-94f9-9c86aa670bbf&file=Transformer_earthing.pdf
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