# Why is a Transformer Rated in kVA, but Not in kW?

## Why are Transformer Always Rated in kVA instead of kW?

As the name suggests, a transformer only transfers power from one circuit to another without changing the value of power and frequency. In other words, it can only step-up or step-down the value of current and voltage, while the power and frequency remain the same. General data on the transformer nameplate is printed for further details, such as rating in VA, single-phase/three-phase (power or distribution transformer), step-up/step-down, connection, accuracy class, etc.

### Transformer Losses are Constant & Independent of Power Factor

There are two type of losses in a transformer;

• 1. Copper Losses
• 2. Iron Losses or Core Losses or Insulation Losses

Copper losses (I²R) depend on the current passing through the transformer winding, while iron losses (core losses or insulation losses) depend on the voltage. That is, total losses depend on both voltage (V) and current (I), which are expressed in volt-amperes (VA), not on the load power factor (PF). That’s why the transformer rating may be expressed in VA or kVA, not in watts (W) or kilowatts (kW).

### Load Type is Unknown When Designing a Transformer

Let’s explain in more detail to get the idea of why a transformer is rated in VA instead of kW.

When manufacturers design a transformer, they have no idea which kind of load will be connected to the transformer e.g. they are not sure about the exact applications of transformers in different scenarios. The load may be resistive (R), inductive (L), capacitive (C) or mixed load (R, L and C).

It means, there would be different power factor (P.F) at the secondary (load) side on different kinds of connected loads which additionally depends on R, L and C. This way, the rating of a transformer is expressed in Volt-Amps (VA) instead of  Watts (W) in case of Transformer.

### Solved Example:

Let’s clear the rating of the transformer in VA instead of W  with a solved example.

The losses of the transformer will remain constant as long as the magnitude of current or voltage is the same, regardless of the power factor of the load current or voltage.

Example:

Suppose a single phase step-up transformer with the following ratings:

• Transformer rating in kVA = 11kVA
• Primary Voltage  = 110V
• Primary Current = 100 A
• Secondary Voltage = 220V
• Secondary Current = 50 A.
• Equivalent resistance on Secondary =
• Iron losses = 30W

In first scenario, If we connect a resistive load to the secondary of the transformer at unity power factor Φ = 1,

Then total losses of transformer would be copper losses + iron losses, i.e.:

I²R + Iron losses

Putting the values:

(502 x 5 ) + 30W = 12.53kW

i.e. losses on primary and secondary of transfer are still the same. (See below example for secondary losses as well)

The transformer output will be:

P = V x I x Cos ϕ

Again, putting the value from secondary (Same value if we put the values from primary)

P = 220 x 50 x 1 = 11kW.

Now rating of transformer:

kVA = VA ÷ 1000

kVA = (220 x 50) ÷ 1000 = 11kVA.

Now, In the second scenario, connect a capacitive or inductive load to the secondary of the transformer at power factor Φ = 0.6.

Again, total losses of transformer would be copper losses + iron losses, i.e.:

I²R + Iron losses

Putting the values:

(502 x 5 ) + 30W = 12.53kW

Hence proved that losses in both primary and secondary are the same.

But the output of the transformer will be:

P = V x I x Cos Φ

Again putting the value from secondary (Same value if we put the values from primary)

P = 220 x 50 x 0.6 = 6.6kW.

Now rating of the transformer:

kVA = VA ÷ 1000

kVA = 220 x 50 ÷ (1000) = 11kVA.

This means that an 11 kVA transformer rating indicates it can handle 11 kVA. It is up to us to transform and utilize the 11 kVA as 11 kW (which can be achieved by improving the power factor to 1 in the case of a pure resistive load), but this is not predictable and even very hard to achieve in the case of inductive and capacitive loads where the power factor can have different values.

From the above example, it is clear that the rating of the transformer is the same (11 kVA), but the power output is different (11 kW and 6.6 kW) due to different power factor values after connecting different kinds of loads. These power factor values are not predictable for transformer manufacturers, as the losses remain consistent in both scenarios.

Thus, these factors illustrate why transformers are rated in kVA rather than kW.

as the losses remain the same in both scenarios.

• Related Post:

Good to Know:

Like transformers, the rating and capacity of alternators, generators, stabilizers, UPS, and transmission lines are also rated in VA instead of watts. In contrast, power plant capacity, air conditioners (AC), and motors are rated in watts (W) rather than volt-amperes (VA).

Related Posts:

### Electrical Technology

1. electrical knowledge says:

Great post, now im knowing why tranformer rating in KVA..

Hi Great and help me to why we calculate KVA for Generator and UPS.

1. Jonathan says:

I understand your logic Mukesh Khatri. cos(phi) or sin(phi) produces a number and hence the units should not necessarily change. However, its a technicality to distinguish between real, apparent and reactive power. There are other instances where units are renamed to simplify rewriting the base units. In this case they rename the unit to distinguish between the types of power.

2. Mukesh Khatri says:

Again I am little bit confuse about the unit of Transformer.<br /><br />We write, P=VxI and whatever product of VxI comes out to be, we just denote it with unit &quot;WATT&quot;. Why not &quot;VA&quot; as in Tranformers? <br /><br />then in case of Transformer due to CU loss (I) and Iron loss (V) we write its unit &quot;VA&quot;. Why not &quot;WATT&quot; as in case of P=VI?

1. Anonymous says:

Dear Mukesh Khatri<br /><br />When we write the equation as P=V*I, then it unit is always VA, that is apparent power.<br /><br />But when the power not only depends on voltage &amp; current but also depends on their phase relation ship then we generally use the formula P=V*I*cos(THETA)…. Then the unit becomes Watt…

3. Mukesh Khatri says:

this is the question I am asking that why the unit of Apparent power (S)=VI is VA? Why not to write Watts? <br /><br />So what if it is apparent power and we are writing it as VA and in case of active power we write Watts. Why? Couldn&#39;t get the logic behind.<br /><br />I read your post it is really good but unit is still not clear to me logically.

1. Electrical Technology says:

Dear Mukesh Khatri@<br />See…. Watt is a unit of real power or actual power…i.e. the power which we utilize in our home [ Electrical Appliances operate on Real Power] <br />in other hand… Apparent Power [ S= VxI = VA and its formula <br />Apparent Power = √ (True power2 + Reactive Power2)] is not real power..its complex power [ … I.e we can&#39;t use Reactive power but only real power in

2. vikram gabriel says:

nice ans<br /><br />

3. Muhammed Ibrahim says:

hi mukesh,i see you are confused about kva and kw.just keep in mind that where ever there is a generation point of electricity its not loaded with anything so its calculated in kva,but when we put on the load on to it then we calculate it on kw becuase of the power at the consuming end,if you are not consuming the electricity then there is no kw.<br />

1. Haris Ali Shah says:

waooooooo ibrahim great answer now i understand very well from ur answer…

2. SOORI EBRAHIM says:

3. AFSAR ALI says:

dear mukesh i think ur thinking is full of confusion
P = V X I is VA because there is no load and no changing angle between voltage and current so that we take take pf 1. but after load there will be changing angle between voltage and current and pf is not constant which depends upon load so that it is kw

ex– V X I X PF = VA ( PF=1)
V X I X PF = KW ( PF = LESS THAN 1 VARY WHICH DEPENDS UPON INDUCTIVE, CAPACITIVE , RESISTANCE )

4. Anonymous says:

Real Power=Voltage*Current*Cos(Pi).Watts<br />Reactive Power=Voltage*Current*Sin(Pi)<br />Apparent Power=Resultant of Real and reactive power so cos(pi) and Sin(pi) will become one.hence we will get apparent power Volt-Amps only

5. nagaraj r.p says:

it is the totoal power for real and reactive power so it is to the v-i

4. Mukesh Khatri says:

my question in simple words is how you come to know that P=VxI= VA?<br /><br />If you have the proof of denoting VxI with unit VA then what was the necessity of using unit the VA inspite of Watts as a unit for apparent power? <br /><br />What is the problem with the unit WATT that we don&#39;t mention it as a unit of apparent power when we clearly see it is product of VxI ..

1. Electrical Technology says:

Dear Mukesh Khatri@<br />See…. Watt is a unit of real power or actual power…i.e. the power which we utilize in our home [ Electrical Appliances operate on Real Power] <br />in other hand… Apparent Power [ S= VxI = VA and its formula <br />Apparent Power = √ (True power2 + Reactive Power2)] is not real power..its complex power [ … I.e we can&#39;t use Reactive power but only real power in

2. Mukesh Khatri says:

I know, Apparent power(s) is sum of route of Active Power(wattful) and Reactive Power(wattless).<br /><br />I am afraid how does this justify that the unit of Apparent Power will be &quot;VA&quot;? <br /><br />You mean to say it is complex power and we utilize real power not reactive power therefore Apparent power&#39;s unit should be &quot;VA&quot;.<br /><br />Does common sense accept this

3. Electrical Technology says:

Look…There are three kinds of Power. Active Power, Re-active Power and Apparent power. now use common sense,,,is it right to just use the same unit for these three different quantities. The same question rises here that we also know that Re-active power = P = VxI…But the unit is in VARS….Why??? Should was not it in Watts. Also this is not a technical answer [ as we have already given

4. Faruq Mondal says:

See @Mukesh…Apparent power is the product of voltage(V) &amp; current(I). Now, the unit of voltage is volt &amp; unit of current is ampere. So the unit of apparent power is volt-ampere.<br /><br />Now to get back to watts…when the apparent power is further multiplied with power factor(cosine of the angle between voltage &amp; current in an AC circuit) the result is active power which is

5. Kalyan Sundar says:

5. Anonymous says:

1. Electrical Technology says:

Thanks for Appreciation.

6. Akshay Solanki says:

great explanation….hats of to u…….<br />

1. Electrical Technology says:

Thanks for appreciation

7. Anonymous says:

dear sir;<br /> I need a clarification regarding..<br /> 1.why we should not connect earth to the ground?<br /> 2.how to calculate the bus bar size?

1. Anonymous says:

1-earth is finally connected to the ground only man

8. Anonymous says:

Fist the understading P=VA=WATT is wrong,<br />P=VA Cos(phi) = watt for AC power<br />S=VA = Apparent Power <br />One can write P=VA only withe explanation that power factor Cos (phi) is unity.<br /><br />For DC curcuit P=VA=Watt since there is no power factor as well as no apparenat power.<br />

9. Anonymous says:

W and VA are the same, they are both power. VA unit is just used for apparent power to discriminate from the real power unit (W), if we use the unit watt(W, for both apparent and real power, how would somebody what power you are referring to? this is to avoid confusion. The same logic on big engines, they have this ratings: BHP, KW

10. praveen says:

Why motor rating is in KW? not in VA..

1. Anonymous says:

simply put: its bcoz of power factor, the mptor is at the load side hence PF is taken into consideration, when u check on the name plate you will find the following rated parameters:<br />Voltage<br />Amperage<br />Power Factor….thus<br />Voltage*Amperage*PF =Kw

11. abhijit pratap singh says:

Why motor rating in kw nt in kva,there are also cu and iron loss

please help to solve this problem:<br /><br />A 440V, 60hz, six-pole, 3-phase induction motor is taking 50kVA at 0.8 power factor and is running at a slip of 2.5 %. The stator copper losses are 0.5kW and rotational losses are 2.5kW. Calculate: <br />a) the rotor copper losses<br />b) the shaft power<br />c) the efficiency<br />d) the shaft torque

13. Raunak Kumar says:

whats a explanation by faruq sir…you clear the concept of watt and volt-amp

14. Anonymous says:

If i want to install a 250 kva generator set, how can i choose the rating of the transformer t be installed? Can anybody help me please!

15. Anonymous says:

Pls Answer this Q…. What is the current of an 237V, 328.4kW three-phase load with cosFI=0.99 ?

1. Electrical Technology says:

Power in a Three Phase Circuit<br />P =√3xVxIxCosθ<br />And Current<br />I = P / √3xVxCosθ<br />Putting the values<br />I = 328.4kW / (√3x237x.0.99)<br />I = 800A<br />For More Details and Formulas…. Check This Post<br /><a href="https://www.electricaltechnology.org/2013/10/electrical-formulas.html&quot; rel="nofollow">Simple Electrical Formulas</a> <br />

2. ijas says:

701.55 Amps.

16. Anonymous says:

P=VI<br />Power=Voltage*Current

17. Anonymous says:

Quote &quot;we can&#39;t use Reactive power but only real power in watts but we pay for both real and reactive power&quot;<br />Electrical Technology kindly clarify, i read somewhere that our energy meters only charge us based on the Real power(Kw) consumed bt here you&#39;ve stated that even the reactive power is paid for….

18. Anonymous says:

Can you please explain the effect of low/high impedance of transformer?

19. Iwatts Vijay says:

why we need to connect neutral to earth in a Transformer??

20. Iwatts Vijay says:

why in theTransformer, Neutral is Connected to Earth??

1. Achins says:

One thing, since the earth is a good conductor, it can be used as a common line in distribution system. So the metal usage for the neutral wire can be minimized by earthing the neutral wire in many places of a distribution network.<br />The other thing is safety related. The leakage current of consumer equipments and machinery can be bypassed to earth only if the neutral point of the transformer

21. Anonymous says:

i like to know about multiplication factor

22. Achins says:

The answer to the common man:<br />The power indicated in Watts (W) is the power consumed by an equipment.<br />But the power indicated in Volt-Ampere (VA) is the capacity of an equipment to deliver the power.<br />You can connect a 1000W heater to a 1KVA transformer. Here the transformer is just transferring 1000W power to heater.

23. Anonymous says:

very nice explenation

24. Anonymous says:

why the rating of generator and transformer are same plz explain the real logic behind it..

Transformer rating Depends upon the power factor of the load but this is not specified at the time of manufacturing so rating of transformer and generator in KVA but in motor nameplate manufacturer always mentioned the pf thats why its rating is in kw.

26. suraj kumar says:

Tranformer rating depand on the cu-losses and core(iron) losses.So tranformer rating has been kVA.

27. aizaz bacha says:

Great post thank u

28. Pikki says:

why are transformer in KVA? need a simple and easy to understanding answer, thanks

29. shubh says:

Rating depends on maximum current flowing through conductor without overheating and damage of conductor wire. If heavy load connected to a thin wire, when we switch on, wire get melt due to high current required for heavy load flowing through thin conductor generate heat and wire get melts.
Same thing happens in transformer since transformer connected to load (grid) having resistance capacitance and inductance three basic loads and all are parallel in power distribution system. All three basic circuit element taking current from transformer winding but resistance only dissipate power, reactive component only store energy in form of charge storage in capacitor and magnetic flux in case of inductor so it is called reactive power. Total current drown from transformer coil is vector sum of active plus reactive current which is greater then current that is dissipated in pure resistor and rating of any conductor (transformer coil) depends on current flowing through it,since voltage of line is fixed(220,440 etc)and In KVA, V is fixed(line voltage or generating voltage) A denote the maximum current that can withdrawn by load without damage of transformer conductor.we can not say rating as KW because it only denote the product of voltage V and current that flowing through resistor only which is always less then A. But A is the actual current(reactor+resister) flowing through transformer coil, and this A define rating of transformer conductor and hence transformer. That,s why its rating is KVA.

1. anonymous says:

30. Debraj says:

Iron losses and copper losses are common for all electrical machines (be it motor/ alternator or transformer). That is not the reason for transformer to be rated in VA. The real reason is that all AC sources (transformer or alternators) are rated in VA (or KVA or MVA) is because the power factor of current is decided by the load connected. And since the load power factor is not known (while the transformer is being manufactured), they are rated considering resistive load (PF = 1). If the load is inductive + resistive (for example, induction motor), some part of power from transformer will go into supplying the reactive power (VAR) and remaining for supplying the active power (W). But the power supplied from transformer (apparant power, VA) will still be vector sum of VAR and W.

1. Mathew P Jacob says:

Debraj,
The best and simple answer anyone can give.Thanks

2. manimuthu A says:

you are absolutely correct

3. Khushpreet singh says:

I agree wiyh you sir this is right answer

31. POOJA says:

Very useful things and comprehensive study material. I like it so much, my fav among all the educational sites.
Thanks

1. jeethu says:

super pooja………………………………….educationa

32. GAWANDE SHUBHAM says:

very nice in explanation
thank you ……………………….

33. Aravindan S says:

Guyz, even motor and generator has both iron loss and copper loss so we should also rate them in KVA right??

34. ELAVAZHAGAN says:

35. Qasem Almansuri says:

Very nice post

36. Marko says:

I know this is an old thread but your calculations in the examples is wrong. The total loss is 12.545kW or 12.530kW depending on the iron losses. At the top you say that the iron losses are 30W but in the calculation you use 45W.

1. Electrical Technology says:

Thank you for positive feedback. We have corrected the values.

37. ceneloctronics says:

i want to know how the know the motor maximum rating?

1. Nano says:

Hi Ceneloctronics, the maximum rating of electric motor will be limitted by the maximum rise of temperature that could be bared by the winding’s insulation material.
For a Class F insulated, 1.0 S.F. motor, if we add the NEMA allowable rise of 105°C to the reference ambient temperature (40°C), results in the motor having an operating temperature of (105+40)=145°C.
So if operating temperature 145°C has been achieved it mean the rating of motor is also at maximum

38. Ripan Biswas says:

Nice exmpl

39. Edgar says:

The posts are amazing.

40. DePinho says:

Using VA in the transformer is a miracle or magic of calculating the size of a transformer without knowing the load secondary WATTAGE or at least estimating it.

41. Netra Narayan Dhakal says:

In the second scenario the pf is 0.6 means rated current (full load current) on secondary is the vector sum of active current and reactive current, and in I^2R the current has to be active current, isn’t it? So in this case copper loss is less and hence the transformer loss. so i think the transformer loss isn’t the same in both the cases. Please correct me if i am wrong. Also, Is the conductor rated at active current or the apparent current?

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