## induction stove efficiency

## induction stove efficiency

(OP)

Hi ,

Bit confused with a simple calculation. Recently done an induction stove testing.

It is an 12 kW induction stove. Have set it to 10 kW. heats 30 liters of water from 28 degree celsius to 90 degree celsius in 25 minutes.

Wanted to calculate the system efficiency.

Induction stove:

Power drawn by the induction stove :

But induction supposed to be 85% efficient .

calculation File attached

Please point if any mistakes in calculation or the stove is inefficient ...

Kindly throw light

Sincerely,

Bit confused with a simple calculation. Recently done an induction stove testing.

It is an 12 kW induction stove. Have set it to 10 kW. heats 30 liters of water from 28 degree celsius to 90 degree celsius in 25 minutes.

Wanted to calculate the system efficiency.

#### CODE -->

Q = 30 kg * 4184 J/kgยทK * 62 K = 7,947,520 J Jouls to kilocalories: 7,947,520 J / 4184 J/kcal = 1890.5 kcal. kcal to kW = 1890/860 = 2.2 kW Energy required for water heating = 2.2 kW

Induction stove:

Power drawn by the induction stove :

#### CODE -->

1.732 * 415 volts * 13.3 amps * (PF = 0.8) / (1000) this gives 4.24 kW. For PF 0.9 it is 4.77 kW Induction stove efficiency = (energy required to heat water/ power drawn by stove) = 2.2/ 4.24 = 51.88%.

calculation File attached

Please point if any mistakes in calculation or the stove is inefficient ...

Kindly throw light

Sincerely,

## RE: induction stove efficiency

## RE: induction stove efficiency

With your figures should be 67.78%.

Q=m*cp*Delta T , P= Q/time

Pe= U*I*sqrt(3)* cos(phi)

eta= P/Pe

my 2 cents

Pierre

## RE: induction stove efficiency

Probably not.

## RE: induction stove efficiency

Water Mass 30 kg

T2 90 C

T1 28 C

dT 62 C

Tavg 59 C

Heat Cap 4184 J/Kg-K

Heat 7782240 J

Time m 25 min

Time s 1500 sec

No conversion to kcal is required

1 Joule/sec = 1 Watt = 1 Kg-m/s7782240J/1500s = 5188.16 Watts

5.18816 kW

Conversion to kcal

4184.000633 J/kcal

1859.999719 kcal

4463.999325 kcal/h

1 kcal/h = 1.163 W

Note the time element.

J & Cal is energy, Watt is power

4464 kcal/h/W

5191 watts

5.191 kW

Other

Did you have the lid on the pot?

How much of the water was evaporated? How much water mass remained in the pot at 90ยฐC?

Add around an average of 2300 kJ/kg additional heat of vaporisation x water lost to evaporation.

https://www.engineeringtoolbox.com/water-propertie...

--Einstein gave the same test to students every year. When asked why he would do something like that, "Because the answers had changed."

## RE: induction stove efficiency

You heat the pot as well - and water may evaporate.

--- Best regards, Morten Andersen

## RE: induction stove efficiency

But now I think the only elephant in the room is the electronics.

I'll let the EEs work that out.

--Einstein gave the same test to students every year. When asked why he would do something like that, "Because the answers had changed."

## RE: induction stove efficiency

That said, is your induction heater still at the efficiency it's supposed to be when you throttle the power?

Is your pot stainless steel or contains stainless steel? It's unusual to find 30 liter stainless steel pots. An aluminum pot would have significantly less efficiency.

Finally, note that some people claim a noticeably lower efficiency for induction, more like 76% https://www.aceee.org/files/proceedings/2014/data/...

TTFN (ta ta for now)

I can do absolutely anything. I'm an expert! https://www.youtube.com/watch?v=BKorP55Aqvg

FAQ731-376: Eng-Tips.com Forum Policies forum1529: Translation Assistance for Engineers Entire Forum list http://www.eng-tips.com/forumlist.cfm

## RE: induction stove efficiency

Magic!

Energy into the water = m * c * dt

Energy used = power draw * time

Efficiency = energy to water / energy in

## RE: induction stove efficiency

That's not what we're saying; 5.2 kW required to heat the water to 90C, but heater set to 10kW, hence 52% efficiency

TTFN (ta ta for now)

I can do absolutely anything. I'm an expert! https://www.youtube.com/watch?v=BKorP55Aqvg

FAQ731-376: Eng-Tips.com Forum Policies forum1529: Translation Assistance for Engineers Entire Forum list http://www.eng-tips.com/forumlist.cfm

## RE: induction stove efficiency

## RE: induction stove efficiency

my calculation :

Mass 30 kg

water

from 28 C

to 90 C

in 25 minutes

Q=m*cp*Delta T 1860 Kcal

cp 1 kca/kg/C

P =Q/time 5183.2 Watts

P elec=U*I*(3)^.5*Cos(Phi)

U 415 V

I 13.3 A

Cos (phi) 0.8

Pe 7648.043546 Watts

ีฒ =P/Pe 0.677715807

Something is weird in the "stars" calculation above!

[color ]EDIT[/color]:https://www.aceee.org/files/proceedings/2014/data/...

Pierre

## RE: induction stove efficiency

I think the OP was confused, since his Joule heating calculation should have resulted in 5.188 kW, which actually means his efficiency was 5.188/4.24 = 120%, so that's pretty cool.

However, his math is incorrect. 415V * 13.3A * 0.8 * 1.732 = 7.647 kW, which results in an efficiency of 67.8%, which is within the calculation uncertainty of the paper I linked.

It's interesting, though, that his calculated efficiency was 51.88%, which is 5.118kW/10kW.

TTFN (ta ta for now)

I can do absolutely anything. I'm an expert! https://www.youtube.com/watch?v=BKorP55Aqvg

FAQ731-376: Eng-Tips.com Forum Policies forum1529: Translation Assistance for Engineers Entire Forum list http://www.eng-tips.com/forumlist.cfm

## RE: induction stove efficiency

https://ultraflexpower.com/learn-about-induction-h...

--Einstein gave the same test to students every year. When asked why he would do something like that, "Because the answers had changed."

## RE: induction stove efficiency

Ok, 10 kW out for 7.647 in. Still magic.

Or poor calibration.

Anyway, if we trust the volts, amps, pf and time then I agree with 67.8%

## RE: induction stove efficiency

5188/ 5519 = 94%

I know < 0 about E

I'm probably proving that right now.

## RE: induction stove efficiency

I can do absolutely anything. I'm an expert! https://www.youtube.com/watch?v=BKorP55Aqvg

## RE: induction stove efficiency

## RE: induction stove efficiency

Inquired the vendor and got to know PF is 0.92. Now the efficiency comes up to 60%.

So where the remaining power converted ? Is it dissipated to atmosphere ?

Asked vendor to give us test certificate or any calculation for the efficiency.

Please find the attached sheet.

## RE: induction stove efficiency

Yes.

Also, if the PF gets higher then the efficiency will decrease. Because it is drawing more real power to produce the same end result.

Energy into the water = m * c * dt

Energy used = power draw * time

Efficiency = energy to water / energy in

When the denominator gets bigger a fraction gets smaller.

## RE: induction stove efficiency

But, yes, the remaining power has to go somewhere, and that somewhere is heat, which is dissipated into the air. You can get a cheap IR thermometer to see what's getting hot inside the heater, and those are all heat sources that do nothing to heat the water. All induction heaters have coils of some sort, which have finite resistance, which consume power and do nothing to heat the water.

As mentioned above, evaporative losses, convection losses, etc., all contribute to a lower efficiency.

I can do absolutely anything. I'm an expert! https://www.youtube.com/watch?v=BKorP55Aqvg

## RE: induction stove efficiency

in the kcal calculation "time" factor is considered (m*c*dt/

Time). But in kW calculation i.e. V*I*(3)^.5*Cos(Phi) same "time" factor is missing.How does the this "time" factor embedded and hidden in the kW calculation ?

How to confirm that the "time" factor playing its role in this formula .. V*I*(3)^.5*Cos(Phi)? because i don't see any T value in the formula...

Kindly explain

## RE: induction stove efficiency

## RE: induction stove efficiency

"Electric current is measured in units of amperes; the symbol for the ampere is A. One ampere is equal to one coulomb passing a point in a wire in one second. We can calculate current, ๐ผ , using the formula ๐ผ = ๐ ๐ก , where ๐ represents an amount of charge passing a point in an amount of time, ๐ก ." https://www.nagwa.com/en/explainers/980189686841/

## RE: induction stove efficiency

It's not hidden; power is the time rate of energy, i.e., energy/time = power

I can do absolutely anything. I'm an expert! https://www.youtube.com/watch?v=BKorP55Aqvg

## RE: induction stove efficiency