Total Power for Three Phase Wattmeter Calculator

✖One Phase Voltage refers to the electrical voltage supplied by a single-phase power system. There is only one voltage waveform, which alternates between positive and negative polarity over time.ⓘ One Phase Voltage [V₁]			+10% -10%
✖One Phase Current is the electrical current flowing through the load to determine the power consumption or generation in a single phase circuit.ⓘ One Phase Current [I₁]			+10% -10%
✖Two Phase Voltage refers to the electrical voltage supplied by a two-phase power system, which consists of two voltage waveforms that are typically 90 degrees out of phase with each other.ⓘ Two Phase Voltage [V₂]			+10% -10%
✖Two Phase Current refers to the electrical current flowing through the load in the second phase of a multi-phase circuit in a wattmeter.ⓘ Two Phase Current [I₂]			+10% -10%
✖Three Phase Voltage refers to the electrical voltage supplied by a three-phase power system, which typically consists of three voltage waveforms that are 120 degrees out of phase with each other.ⓘ Three Phase Voltage [V₃]			+10% -10%
✖Three Phase Current refers to the combined electrical current flowing through all three phases of a three-phase electrical system.ⓘ Three Phase Current [I₃]			+10% -10%

✖Total Power refers to the sum of the electrical power consumed or generated by the load being measured in a wattmeter.ⓘ 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

`"2.744W"=("11V"*"0.24A")+("1.75V"*"0.02A")+("1.15V"*"0.06A")`

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Total Power for Three Phase Wattmeter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Power = (One Phase Voltage*One Phase Current)+(Two Phase Voltage*Two Phase Current)+(Three Phase Voltage*Three Phase Current)
P_t = (V₁*I₁)+(V₂*I₂)+(V₃*I₃)
This formula uses 7 Variables

Variables Used

Total Power - (Measured in Watt) - Total Power refers to the sum of the electrical power consumed or generated by the load being measured in a wattmeter.
One Phase Voltage - (Measured in Volt) - One Phase Voltage refers to the electrical voltage supplied by a single-phase power system. There is only one voltage waveform, which alternates between positive and negative polarity over time.
One Phase Current - (Measured in Ampere) - One Phase Current is the electrical current flowing through the load to determine the power consumption or generation in a single phase circuit.
Two Phase Voltage - (Measured in Volt) - Two Phase Voltage refers to the electrical voltage supplied by a two-phase power system, which consists of two voltage waveforms that are typically 90 degrees out of phase with each other.
Two Phase Current - (Measured in Ampere) - Two Phase Current refers to the electrical current flowing through the load in the second phase of a multi-phase circuit in a wattmeter.
Three Phase Voltage - (Measured in Volt) - Three Phase Voltage refers to the electrical voltage supplied by a three-phase power system, which typically consists of three voltage waveforms that are 120 degrees out of phase with each other.
Three Phase Current - (Measured in Ampere) - Three Phase Current refers to the combined electrical current flowing through all three phases of a three-phase electrical system.

STEP 1: Convert Input(s) to Base Unit

One Phase Voltage: 11 Volt --> 11 Volt No Conversion Required
One Phase Current: 0.24 Ampere --> 0.24 Ampere No Conversion Required
Two Phase Voltage: 1.75 Volt --> 1.75 Volt No Conversion Required
Two Phase Current: 0.02 Ampere --> 0.02 Ampere No Conversion Required
Three Phase Voltage: 1.15 Volt --> 1.15 Volt No Conversion Required
Three Phase Current: 0.06 Ampere --> 0.06 Ampere No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_t = (V₁*I₁)+(V₂*I₂)+(V₃*I₃) --> (11*0.24)+(1.75*0.02)+(1.15*0.06)

Evaluating ... ...

P_t = 2.744

STEP 3: Convert Result to Output's Unit

2.744 Watt --> No Conversion Required

FINAL ANSWER

2.744 Watt <-- Total Power

(Calculation completed in 00.004 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!

Verified by Payal Priya

Birsa Institute of Technology (BIT), Sindri

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< 15 Wattmeter Circuit Calculators

Deflecting Torque in Electrodynamic Wattmeter

Go Deflecting Torque = (Total Voltage*Total Current*cos(Phase Angle)*Inductance Change with Deflection Angle)/Pressure Coil Resistance

Deflection Angle in Electrodynamic Wattmeter

Go Deflection Angle = (Total Current*Pressure Coil Current*cos(Phase Angle)*Inductance Change with Deflection Angle)/(Spring Constant)

Total Power for Three Phase Wattmeter

Go Total Power = (One Phase Voltage*One Phase Current)+(Two Phase Voltage*Two Phase Current)+(Three Phase Voltage*Three Phase Current)

Resistance of Watt-meter pressure Coil

Go Pressure Coil Resistance = (Voltage Induced in Secondary Winding 2-(Pressure Coil Current*Secondary Winding 1 Coil Resistance))/Pressure Coil Current

Resistance of coil S1

Go Secondary Winding 1 Coil Resistance = (Voltage Induced in Secondary Winding 2-(Pressure Coil Current*Pressure Coil Resistance))/Pressure Coil Current

Total copper loss in secondary winding circuit

Go Secondary Winding Copper Loss = (Voltage Induced in Secondary Winding 2^2)/(Secondary Winding 1 Coil Resistance+Pressure Coil Resistance)

Power using Two Wattmeter Method

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

Current in pressure coil circuit

Go Pressure Coil Current = Voltage Induced in Secondary Winding 2/(Pressure Coil Resistance+Secondary Winding 1 Coil Resistance)

Voltage Induced in S2

Go Voltage Induced in Secondary Winding 2 = Pressure Coil Current*(Pressure Coil Resistance+Secondary Winding 1 Coil Resistance)

DC Power (in Voltage Terms)

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

DC Power (in Current Terms)

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

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 = (Pressure Coil Voltage*Iron Loss)/(Potential Difference)

Voltage applied to wattmeter pressure coil

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

Total Power for Three Phase Wattmeter Formula

Total Power = (One Phase Voltage*One Phase Current)+(Two Phase Voltage*Two Phase Current)+(Three Phase Voltage*Three Phase Current)
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 = (One Phase Voltage*One Phase Current)+(Two Phase Voltage*Two Phase Current)+(Three Phase Voltage*Three Phase Current) 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 One Phase Voltage (V₁), One Phase Current (I₁), Two Phase Voltage (V₂), Two Phase Current (I₂), Three Phase Voltage (V₃) & Three Phase Current (I₃) and hit the calculate button. Here is how the Total Power for Three Phase Wattmeter calculation can be explained with given input values -> 7.275 = (11*0.24)+(1.75*0.02)+(1.15*0.06).

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 = (One Phase Voltage*One Phase Current)+(Two Phase Voltage*Two Phase Current)+(Three Phase Voltage*Three Phase Current). One Phase Voltage refers to the electrical voltage supplied by a single-phase power system. There is only one voltage waveform, which alternates between positive and negative polarity over time, One Phase Current is the electrical current flowing through the load to determine the power consumption or generation in a single phase circuit, Two Phase Voltage refers to the electrical voltage supplied by a two-phase power system, which consists of two voltage waveforms that are typically 90 degrees out of phase with each other, Two Phase Current refers to the electrical current flowing through the load in the second phase of a multi-phase circuit in a wattmeter, Three Phase Voltage refers to the electrical voltage supplied by a three-phase power system, which typically consists of three voltage waveforms that are 120 degrees out of phase with each other & Three Phase Current refers to the combined electrical current flowing through all three phases of a three-phase electrical system.

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 = (One Phase Voltage*One Phase Current)+(Two Phase Voltage*Two Phase Current)+(Three Phase Voltage*Three Phase Current). To calculate Total Power for Three Phase Wattmeter, you need One Phase Voltage (V₁), One Phase Current (I₁), Two Phase Voltage (V₂), Two Phase Current (I₂), Three Phase Voltage (V₃) & Three Phase Current (I₃). With our tool, you need to enter the respective value for One Phase Voltage, One Phase Current, Two Phase Voltage, Two Phase Current, Three Phase Voltage & Three Phase Current 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 One Phase Voltage, One Phase Current, Two Phase Voltage, Two Phase Current, Three Phase Voltage & Three Phase Current. We can use 4 other way(s) to calculate the same, which is/are as follows -

Total Power = sqrt(3)*Total Phase Voltage*One Phase Current*cos(Phase Angle)
Total Power = 3*Total Phase Voltage*Total Phase Current*cos(Phase Angle)
Total Power = Total Voltage*Total Current-(Total Voltage^2/Voltmeter Resistance)
Total Power = Total Voltage*Total Current-Total Current^2*Ammeter Resistance

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