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Total Power for Three Phase Wattmeter Formula

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GoPower using Two Wattmeter Method Formula

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GoTotal Power using phi Angle Formula

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

P t = (V 1 \cdot I 1) + (V 2 \cdot I 2) + (V 3 \cdot I 3)

P_t - Total Power?V₁ - One Phase Voltage?I₁ - One Phase Current?V₂ - Two Phase Voltage?I₂ - Two Phase Current?V₃ - Three Phase Voltage?I₃ - Three Phase Current?

Total Power for Three Phase Wattmeter Example

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With units

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Here is how the Total Power for Three Phase Wattmeter equation looks like with Values.

Here is how the Total Power for Three Phase Wattmeter equation looks like with Units.

Here is how the Total Power for Three Phase Wattmeter equation looks like.

2.744 = (11 \cdot 0.24) + (1.75 \cdot 0.02) + (1.15 \cdot 0.06)

2.744W = (11V \cdot 0.24A) + (1.75V \cdot 0.02A) + (1.15V \cdot 0.06A)

2.744 = (11 \cdot 0.24) + (1.75 \cdot 0.02) + (1.15 \cdot 0.06)

Tip: Use pencil () icon above to edit Input Values and Units.

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Home » Engineering » Electronics and Instrumentation » Measuring Instrument Circuits » Total Power for Three Phase Wattmeter

Total Power for Three Phase Wattmeter Solution

Follow our step by step solution on how to calculate Total Power for Three Phase Wattmeter?

FIRST Step Consider the formula

P t = (V 1 \cdot I 1) + (V 2 \cdot I 2) + (V 3 \cdot I 3)

Next Step Substitute values of Variables

∴

P t = (11V \cdot 0.24A) + (1.75V \cdot 0.02A) + (1.15V \cdot 0.06A)

Next Step Prepare to Evaluate

∴

P t = (11 \cdot 0.24) + (1.75 \cdot 0.02) + (1.15 \cdot 0.06)

LAST Step Evaluate

∴

P t = 2.744W

Total Power for Three Phase Wattmeter Formula Elements

Variables

Total Power

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

Symbol: P_t

Measurement: PowerUnit: W

Note: Value should be greater than 0.

One Phase Voltage

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.

Symbol: V₁

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

One Phase Current

One Phase Current is the electrical current flowing through the load to determine the power consumption or generation in a single phase circuit.

Symbol: I₁

Measurement: Electric CurrentUnit: A

Note: Value should be greater than 0.

Two Phase Voltage

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.

Symbol: V₂

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Two Phase Current

Two Phase Current refers to the electrical current flowing through the load in the second phase of a multi-phase circuit in a wattmeter.

Symbol: I₂

Measurement: Electric CurrentUnit: A

Note: Value should be greater than 0.

Three Phase Voltage

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.

Symbol: V₃

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Three Phase Current

Three Phase Current refers to the combined electrical current flowing through all three phases of a three-phase electrical system.

Symbol: I₃

Measurement: Electric CurrentUnit: A

Note: Value should be greater than 0.

Credits

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Created by Nikita Suryawanshi

Vellore Institute of Technology (VIT), Vellore

Nikita Suryawanshi has created this Formula and 100+ more formulas!

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Verified by Payal Priya

Birsa Institute of Technology (BIT), Sindri

Payal Priya has verified this Formula and 1900+ more formulas!

Other Formulas to find Total Power

Go Power using Two Wattmeter Method

P t = \sqrt{3} \cdot V ph \cdot I 1 \cdot \cos (Φ)

Go Total Power using phi Angle

P t = 3 \cdot V ph \cdot I ph \cdot \cos (Φ)

Other formulas in Wattmeter Circuit category

Go AC Power

P ac = V t \cdot I rms \cdot \cos (Φ)

Go Wattmeter Reading

W r = \frac{V wp \cdot P i}{V}

See More

How to Evaluate Total Power for Three Phase Wattmeter?

Total Power for Three Phase Wattmeter evaluator uses Total Power = (One Phase Voltage*One Phase Current)+(Two Phase Voltage*Two Phase Current)+(Three Phase Voltage*Three Phase Current) to evaluate 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 evaluate Total Power for Three Phase Wattmeter using this online evaluator? To use this online evaluator 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.

FAQs on Total Power for Three Phase Wattmeter

What is the formula to find Total Power for Three Phase Wattmeter?

The formula of Total Power for Three Phase Wattmeter is expressed as Total Power = (One Phase Voltage*One Phase Current)+(Two Phase Voltage*Two Phase Current)+(Three Phase Voltage*Three Phase Current). Here is an example- 7.275 = (11*0.24)+(1.75*0.02)+(1.15*0.06).

How to calculate Total Power for Three Phase Wattmeter?

With One Phase Voltage (V₁), One Phase Current (I₁), Two Phase Voltage (V₂), Two Phase Current (I₂), Three Phase Voltage (V₃) & Three Phase Current (I₃) we can find Total Power for Three Phase Wattmeter using the formula - Total Power = (One Phase Voltage*One Phase Current)+(Two Phase Voltage*Two Phase Current)+(Three Phase Voltage*Three Phase Current).

What are the other ways to Calculate Total Power?

Here are the different ways to Calculate Total Power-

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)

Can the Total Power for Three Phase Wattmeter be negative?

No, the Total Power for Three Phase Wattmeter, measured in Power cannot be negative.

Which unit is used to measure Total Power for Three Phase Wattmeter?

Total Power for Three Phase Wattmeter is usually measured using the Watt[W] for Power. Kilowatt[W], Milliwatt[W], Microwatt[W] are the few other units in which Total Power for Three Phase Wattmeter can be measured.

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