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Magnetization Current Standard

02/16/2012 10:39 AM

Alright, I've been digging around for a few days now and cannot seem to come up with any result.

Can anyone refer me to a standard on how to calculate the magnetizing current for power transformers? I found an example in a Westinghouse T&D reference manual but it was a little old and I'm hoping that someone may have a better resource.

Along the way of trying to find this standard I've simply been trying to understand what magnetizing current was and I believe I finally have a handle on it. But a few places I have seen have said that excitation and magnetization currents are the same thing. Based on a few definitions I have read I would think the same. If anyone could clear that up for me I would appreciate it.

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#1

Re: Magnetization Current Standard

02/16/2012 10:43 AM

Transformer design - black art! Good luck.

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#2

Re: Magnetization Current Standard

02/16/2012 11:56 AM

There is no standard.

The formula is

B=(3.491*E*10^6)/(f*N*Ac*SF)

B=Maximum Gauss

E= Volts RMS (Must be sine wave)

f=frequency in Hertz (was cycles per second until a few decades ago)

N=Number of turns

Ac=Core area in inches^2

SF=Stacking Factor, Usually = 0.95 to 0.98 (Depends on burr on core and core thickness)

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#3
In reply to #2

Re: Magnetization Current Standard

02/16/2012 12:09 PM

Hertz (was cycles per second until a few decades ago)

I seem to remember some sort of almost politically correct nonsense about this but I've forgotten what it was all about. I use the terms interchangeably. Am I destined for a whipping?

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#4
In reply to #3

Re: Magnetization Current Standard

02/16/2012 3:42 PM

As I remember, there were quite a few that thought it would have been more appropriate to honor Charles Proteus Steinmetz rather thaan Hertz, for obvious reasons.

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#9
In reply to #3

Re: Magnetization Current Standard

02/17/2012 10:59 AM

No whipping. Both are right. You just have to use Hertz when talking to these young whippersnappers.

I also remember when temperatures were measured in degrees Centigrade, not Celsius.

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#5

Re: Magnetization Current Standard

02/17/2012 2:47 AM

As a US maker of small power transformers said to me after one of his first exports to Europe decades ago, "60 cycles but 50 hurts".

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#6

Re: Magnetization Current Standard

02/17/2012 7:41 AM

Inrush current depends also on the point of wave at which the transformer is connected.

You may find useful info on :

http://www.electrical-installation.org/enwiki/Protection_of_LV/LV_transformers

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#7

Re: Magnetization Current Standard

02/17/2012 8:00 AM

I only design transformers for hobby purpose. Professional have better techniques.

I see a transformer as a large primary inductance that keeps the magnetizing flux well below saturation to reduce losses to which you add a corresponding number of turns for the secondary. Wire, magnetic core sizes and insulations have to be evaluated before beginning. Once a first design is completed, we often have to re-adjust if an optimum result is desired. A trick for hobbist or small quantity: Use a bigger core than expected. It saves many frustrating iterations when you cannot fit all the turns and insulation needed...

I first evaluate the magnetizing inductance by considering only the primary turns and the magnetic core.

Then divide the voltage by the L + R of the primary at the operating frequency. I then use this value to check for the core saturation and re-adjust the inductance. This give good results after (hopefully) a couple of iterations.

The number of turn for the secondary is then easy to calcuate.

The leakage inductance is harder to evaluate. I usually do a tight design and measure it afterward. Iterations and compromises are necessary.

Have fun!

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#8

Re: Magnetization Current Standard

02/17/2012 10:00 AM

Magnetizing current will be dependent on the type or core material you planned to use in your transformer! The lowest value I had used in power transformer computations is 65,000 gauss, since that matches the magnetic characteristics of the soft silicon laminated steel core material that was made available for me to use! Refer to the B-H curve and corresponding Ampere-turn per unit area of whatever core material you plan to use.

Substitute that value as one of your constants in the transformer formula that was previously or as posted earlier.

Good luck!

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#10

Re: Magnetization Current Standard

02/17/2012 12:49 PM

Magnetization and excitation currents mean the same thing. Sometimes it gets confused with primary "inrush" currents, as one reply to your question has seized upon. But "inrush current" is transient magnetizing current rather than "steady state".

The magnetizing current for transfos of some 100 kVA and up is 5% or less of full load current.

So the combination of resistive load current and magnetizing current, which are at 90 degrees phase angle to each other, is given by a right angle triangle for which the square on the longest side (the supply current) is equal to the sum of the squares on the other two sides (the load and magnetizing currents).

So if load current is 1 and magnetizing 0.05 [5% rated current] the supply current S is given by...

S² = 1² + 0.05² = 1.0025, hence S = 1.00125

So the magnetizing current has negligible effect on the current drawn by a fully loaded (or even half-loaded) transfo with unity power factor load and mostly it is not worth worrying about. Note that for an 0.9 power factor load, the inductive load current would be √(1 - 0.9²) = 0.44 of resistive current, making 5% magnetizing current pretty negligible (it makes the power factor fall from 0.9 to 0.874).

In most power transformers, efficiency requirements dictate that the iron flux density is kept down to a value which makes the magnetizing current about the 5% level or less. So there is no need for standards to be set for transfo magnetizing current for power transformers (in fact, I do not recall the "standards", like IEC76, having any efficiency requirement, never mind "no-load" current). But the users do care about efficiency, so they put it into their requirements and a supply distribution operator will have that in their standards.

When a power transfo operates at very low load almost continuously, the magnetizing current may contribute so much to the resistive kW-hour line losses over a year, keeping the transfo live, that it is worth specifying low magnetizing current and iron losses.

"No-load" magnetizing current and losses should be in the test data for transformers and that is the best way to get figures for a specific installation. The manufacturers should be able to give you figures from "type tests", even if not routinely recorded for a stock item. Large transfos have serial numbers and manufacturers usually keep the test data on them (comparison of present and original no-load current and watts may identify core loss increase due to a fault), even if your installation has lost them.

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#11
In reply to #10

Re: Magnetization Current Standard

02/20/2012 9:05 AM

GA

Thanks for the input on what magnetizing current is and how it contributes to losses. What I had seen in an older manual was for a 138kV transformer was 6.5 A per phase or 3.1% of the full load current.

But I'm not concerned with the efficiencies of the transformer (yet); what I am looking at are disconnect switches. I've seen it noted before that to determine whether quick whips or other interrupters were required (for the switch on the transformer) you need the magnetization current. If the circuit breakers and tline switches are open at the substation then the current being drawn across that switch should just be the magnetization current.

I know what some switches are rated for with and without the quick whips, but I was hoping that there was on official standard for "guesstimating" the magnetization current for the transformer. From the sounds of it my best bet would be getting in contact with a company that makes transformers and get some comparative values.

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#12
In reply to #11

Re: Magnetization Current Standard

02/20/2012 2:52 PM

My feeling would be to consult the disconnecting switch maker's about their breaking capacity for magnetising current and compare it with 5% of rated transfo full load current before worrying about actual magnetising currents. Often the available disconnect switch rating is a lot higher than the circuit rating. In any case, you should note that if the system is lightly loaded, the transfo voltage might be 10% high - which will increase the magnetising current significantly.

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