Total Power using phi Angle Calculator

✖Total Phase Voltage refers to the algebraic sum of all voltage drops or rises across components in a circuit, considering both magnitude and direction.ⓘ Total Phase Voltage [V_ph]			+10% -10%
✖Total Phase Current refers to the algebraic sum of all currents flowing in a circuit, accounting for both magnitude and direction.ⓘ Total Phase Current [I_ph]			+10% -10%
✖Phase angle refers to the angular displacement between two waveforms, typically sinusoidal, measured in degrees or radians, indicating the shift in time or phase between them.ⓘ Phase Angle [Φ]			+10% -10%

✖Total Power is the total power consumed in an n-phase circuit.ⓘ Total Power using phi Angle [P_t]

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Formula

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Total Power using phi Angle

Formula

`"P"_{"t"} = 3*"V"_{"ph"}*"I"_{"ph"}*cos("Φ")`

Example

`"172.9451W"=3*"12V"*"9.49A"*cos("1.04rad")`

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Total Power using phi Angle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Power = 3*Total Phase Voltage*Total Phase Current*cos(Phase Angle)
P_t = 3*V_ph*I_ph*cos(Φ)
This formula uses 1 Functions, 4 Variables

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)

Variables Used

Total Power - (Measured in Watt) - Total Power is the total power consumed in an n-phase circuit.
Total Phase Voltage - (Measured in Volt) - Total Phase Voltage refers to the algebraic sum of all voltage drops or rises across components in a circuit, considering both magnitude and direction.
Total Phase Current - (Measured in Ampere) - Total Phase Current refers to the algebraic sum of all currents flowing in a circuit, accounting for both magnitude and direction.
Phase Angle - (Measured in Radian) - Phase angle refers to the angular displacement between two waveforms, typically sinusoidal, measured in degrees or radians, indicating the shift in time or phase between them.

STEP 1: Convert Input(s) to Base Unit

Total Phase Voltage: 12 Volt --> 12 Volt No Conversion Required
Total Phase Current: 9.49 Ampere --> 9.49 Ampere No Conversion Required
Phase Angle: 1.04 Radian --> 1.04 Radian No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_t = 3*V_ph*I_ph*cos(Φ) --> 3*12*9.49*cos(1.04)

Evaluating ... ...

P_t = 172.945088681006

STEP 3: Convert Result to Output's Unit

172.945088681006 Watt --> No Conversion Required

FINAL ANSWER

172.945088681006 ≈ 172.9451 Watt <-- Total Power

(Calculation completed in 00.004 seconds)

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Created by Nikita Suryawanshi

Vellore Institute of Technology (VIT), Vellore

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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 using phi Angle Formula

Total Power = 3*Total Phase Voltage*Total Phase Current*cos(Phase Angle)
P_t = 3*V_ph*I_ph*cos(Φ)

How to calculate total power?

The 3 phase wattmeter employs 2 wattmeter setups. They can be in either a star configuration or a delta configuration. It is also called a 3 wire system. The total power consumed is the sum of power consumed by each wattmeter. While calculating power, we use the arms value of the currents and voltages.

How to Calculate Total Power using phi Angle?

Total Power using phi Angle calculator uses Total Power = 3*Total Phase Voltage*Total Phase Current*cos(Phase Angle) to calculate the Total Power, The Total Power using phi Angle formula is used to calculate the total instantaneous power consumed in a two-phase wattmeter setup. Total Power is denoted by P_t symbol.

How to calculate Total Power using phi Angle using this online calculator? To use this online calculator for Total Power using phi Angle, enter Total Phase Voltage (V_ph), Total Phase Current (I_ph) & Phase Angle (Φ) and hit the calculate button. Here is how the Total Power using phi Angle calculation can be explained with given input values -> 172.9451 = 3*12*9.49*cos(1.04).

FAQ

What is Total Power using phi Angle?

The Total Power using phi Angle formula is used to calculate the total instantaneous power consumed in a two-phase wattmeter setup and is represented as P_t = 3*V_ph*I_ph*cos(Φ) or Total Power = 3*Total Phase Voltage*Total Phase Current*cos(Phase Angle). Total Phase Voltage refers to the algebraic sum of all voltage drops or rises across components in a circuit, considering both magnitude and direction, Total Phase Current refers to the algebraic sum of all currents flowing in a circuit, accounting for both magnitude and direction & Phase angle refers to the angular displacement between two waveforms, typically sinusoidal, measured in degrees or radians, indicating the shift in time or phase between them.

How to calculate Total Power using phi Angle?

The Total Power using phi Angle formula is used to calculate the total instantaneous power consumed in a two-phase wattmeter setup is calculated using Total Power = 3*Total Phase Voltage*Total Phase Current*cos(Phase Angle). To calculate Total Power using phi Angle, you need Total Phase Voltage (V_ph), Total Phase Current (I_ph) & Phase Angle (Φ). With our tool, you need to enter the respective value for Total Phase Voltage, Total Phase Current & Phase Angle 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 Total Phase Voltage, Total Phase Current & Phase Angle. 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 = (Total Voltage*Total Current)-(((Total Voltage)^2)/Resistance of the Voltmeter)
Total Power = (Total Voltage*Total Current)-(((Total Current)^2)*Resistance of Ammeter)
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)

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