Total Power for Three Phase Wattmeter Calculator

✖Voltage through Phase 1 is the potential difference across resistor 1 in phase 1 wire.ⓘ Voltage through Phase 1 [V₁]			+10% -10%
✖Current in Phase 1 is the current flowing through the first arm.ⓘ Current in Phase 1 [I₁]			+10% -10%
✖Voltage through Phase 2 is the potential difference across the resistor 2 in phase 2 wire.ⓘ Voltage through Phase 2 [V₂]			+10% -10%
✖Current in Phase 2 is the current flowing through the second phase of wattmeter setup.ⓘ Current in Phase 2 [I₂]			+10% -10%
✖Voltage through Phase 3 is the potential difference across the resistor 3 in phase 3 wire.ⓘ Voltage through Phase 3 [V₃]			+10% -10%
✖Current in Phase 3 is the current flowing through the third phase of wattmeter setup.ⓘ Current in Phase 3 [I₃]			+10% -10%

✖Total Power is the total power consumed in an n-phase circuit.ⓘ Total Power for Three Phase Wattmeter [P_t]

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Formula

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Total Power for Three Phase Wattmeter

Formula

`"P"_{"t"} = ("V"_{"1"}*"I"_{"1"})+("V"_{"2"}*"I"_{"2"})+("V"_{"3"}*"I"_{"3"})`

Example

`"239W"=("11V"*"5A")+("20V"*"3A")+("31V"*"4A")`

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Total Power for Three Phase Wattmeter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Power = (Voltage through Phase 1*Current in Phase 1)+(Voltage through Phase 2*Current in Phase 2)+(Voltage through Phase 3*Current in Phase 3)
P_t = (V₁*I₁)+(V₂*I₂)+(V₃*I₃)
This formula uses 7 Variables

Variables Used

Total Power - (Measured in Watt) - Total Power is the total power consumed in an n-phase circuit.
Voltage through Phase 1 - (Measured in Volt) - Voltage through Phase 1 is the potential difference across resistor 1 in phase 1 wire.
Current in Phase 1 - (Measured in Ampere) - Current in Phase 1 is the current flowing through the first arm.
Voltage through Phase 2 - (Measured in Volt) - Voltage through Phase 2 is the potential difference across the resistor 2 in phase 2 wire.
Current in Phase 2 - (Measured in Ampere) - Current in Phase 2 is the current flowing through the second phase of wattmeter setup.
Voltage through Phase 3 - (Measured in Volt) - Voltage through Phase 3 is the potential difference across the resistor 3 in phase 3 wire.
Current in Phase 3 - (Measured in Ampere) - Current in Phase 3 is the current flowing through the third phase of wattmeter setup.

STEP 1: Convert Input(s) to Base Unit

Voltage through Phase 1: 11 Volt --> 11 Volt No Conversion Required
Current in Phase 1: 5 Ampere --> 5 Ampere No Conversion Required
Voltage through Phase 2: 20 Volt --> 20 Volt No Conversion Required
Current in Phase 2: 3 Ampere --> 3 Ampere No Conversion Required
Voltage through Phase 3: 31 Volt --> 31 Volt No Conversion Required
Current in Phase 3: 4 Ampere --> 4 Ampere No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_t = (V₁*I₁)+(V₂*I₂)+(V₃*I₃) --> (11*5)+(20*3)+(31*4)

Evaluating ... ...

P_t = 239

STEP 3: Convert Result to Output's Unit

239 Watt --> No Conversion Required

FINAL ANSWER

239 Watt <-- Total Power

(Calculation completed in 00.020 seconds)

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Created by Nikita Suryawanshi

Vellore Institute of Technology (VIT), Vellore

Nikita Suryawanshi has created this Calculator and 100+ more calculators!

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Birsa Institute of Technology (BIT), Sindri

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< 13 Wattmeter Circuit Calculators

Total Power for Three Phase Wattmeter

Go Total Power = (Voltage through Phase 1*Current in Phase 1)+(Voltage through Phase 2*Current in Phase 2)+(Voltage through Phase 3*Current in Phase 3)

Resistance of Watt-meter pressure Coil

Go Resistance of Wattmeter Pressure Coil = (Voltage Induced in Secondary Winding 2-(Current in Pressure Coil Circuit*Resistance of Coil in Secondary Winding))/Current in Pressure Coil Circuit

Resistance of coil S1

Go Resistance of Coil in Secondary Winding = (Voltage Induced in Secondary Winding 2-(Current in Pressure Coil Circuit*Resistance of Wattmeter Pressure Coil))/Current in Pressure Coil Circuit

Power using Two Wattmeter Method

Go Total Power = sqrt(3)*Total Phase Voltage*Current in Phase 1*cos((30*(pi/180))-Phase Angle)

Total copper loss in secondary winding circuit

Go Total Copper Loss in Secondary Winding = ((Voltage Induced in Secondary Winding 2^2)/Resistance of Coil in Secondary Winding)+Resistance of Wattmeter Pressure Coil

Current in pressure coil circuit

Go Current in Pressure Coil Circuit = Voltage Induced in Secondary Winding 2/(Resistance of Wattmeter Pressure Coil+Resistance of Coil in Secondary Winding)

Voltage Induced in S2

Go Voltage Induced in Secondary Winding 2 = Current in Pressure Coil Circuit*(Resistance of Wattmeter Pressure Coil+Resistance of Coil in Secondary Winding)

DC Power (in Voltage Terms)

Go Total Power = (Total Voltage*Total Current)-(((Total Voltage)^2)/Resistance of the Voltmeter)

DC Power (in Current Terms)

Go Total Power = (Total Voltage*Total Current)-(((Total Current)^2)*Resistance of Ammeter)

AC Power

Go Instantaneous AC Power = Total Voltage*Current RMS Value*cos(Phase Angle)

Total Power using phi Angle

Go Total Power = 3*Total Phase Voltage*Total Phase Current*cos(Phase Angle)

Wattmeter Reading

Go Wattmeter Reading = (Voltage at Wattmeter Pressure Coil*Total Iron Loss)/(Potential Difference)

Voltage applied to wattmeter pressure coil

Go Voltage at Wattmeter Pressure Coil = (Wattmeter Reading*Potential Difference)/Total Iron Loss

Total Power for Three Phase Wattmeter Formula

Total Power = (Voltage through Phase 1*Current in Phase 1)+(Voltage through Phase 2*Current in Phase 2)+(Voltage through Phase 3*Current in Phase 3)
P_t = (V₁*I₁)+(V₂*I₂)+(V₃*I₃)

How to calculate total power?

The 3 phase wattmeter employs 3 wattmeter setups. They can be in either a star configuration or a delta configuration. It is also called a 4 wire system. The total power consumed is the sum of power consumed by each wattmeter. While calculating power, we use the rms value of the currents and voltages.

How to Calculate Total Power for Three Phase Wattmeter?

Total Power for Three Phase Wattmeter calculator uses Total Power = (Voltage through Phase 1*Current in Phase 1)+(Voltage through Phase 2*Current in Phase 2)+(Voltage through Phase 3*Current in Phase 3) to calculate the Total Power, Total Power for Three Phase Wattmeter is used to calculate the total power consumed in a 3 phase wattmeter. This gives the total instantaneous power. Total Power is denoted by P_t symbol.

How to calculate Total Power for Three Phase Wattmeter using this online calculator? To use this online calculator for Total Power for Three Phase Wattmeter, enter Voltage through Phase 1 (V₁), Current in Phase 1 (I₁), Voltage through Phase 2 (V₂), Current in Phase 2 (I₂), Voltage through Phase 3 (V₃) & Current in Phase 3 (I₃) and hit the calculate button. Here is how the Total Power for Three Phase Wattmeter calculation can be explained with given input values -> 239 = (11*5)+(20*3)+(31*4).

FAQ

What is Total Power for Three Phase Wattmeter?

Total Power for Three Phase Wattmeter is used to calculate the total power consumed in a 3 phase wattmeter. This gives the total instantaneous power and is represented as P_t = (V₁*I₁)+(V₂*I₂)+(V₃*I₃) or Total Power = (Voltage through Phase 1*Current in Phase 1)+(Voltage through Phase 2*Current in Phase 2)+(Voltage through Phase 3*Current in Phase 3). Voltage through Phase 1 is the potential difference across resistor 1 in phase 1 wire, Current in Phase 1 is the current flowing through the first arm, Voltage through Phase 2 is the potential difference across the resistor 2 in phase 2 wire, Current in Phase 2 is the current flowing through the second phase of wattmeter setup, Voltage through Phase 3 is the potential difference across the resistor 3 in phase 3 wire & Current in Phase 3 is the current flowing through the third phase of wattmeter setup.

How to calculate Total Power for Three Phase Wattmeter?

Total Power for Three Phase Wattmeter is used to calculate the total power consumed in a 3 phase wattmeter. This gives the total instantaneous power is calculated using Total Power = (Voltage through Phase 1*Current in Phase 1)+(Voltage through Phase 2*Current in Phase 2)+(Voltage through Phase 3*Current in Phase 3). To calculate Total Power for Three Phase Wattmeter, you need Voltage through Phase 1 (V₁), Current in Phase 1 (I₁), Voltage through Phase 2 (V₂), Current in Phase 2 (I₂), Voltage through Phase 3 (V₃) & Current in Phase 3 (I₃). With our tool, you need to enter the respective value for Voltage through Phase 1, Current in Phase 1, Voltage through Phase 2, Current in Phase 2, Voltage through Phase 3 & Current in Phase 3 and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Total Power?

In this formula, Total Power uses Voltage through Phase 1, Current in Phase 1, Voltage through Phase 2, Current in Phase 2, Voltage through Phase 3 & Current in Phase 3. We can use 4 other way(s) to calculate the same, which is/are as follows -

Total Power = sqrt(3)*Total Phase Voltage*Current in Phase 1*cos((30*(pi/180))-Phase Angle)
Total Power = 3*Total Phase Voltage*Total Phase Current*cos(Phase Angle)
Total Power = (Total Voltage*Total Current)-(((Total Voltage)^2)/Resistance of the Voltmeter)
Total Power = (Total Voltage*Total Current)-(((Total Current)^2)*Resistance of Ammeter)

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