Input Power of Synchronous Motor Calculator

✖Armature Current Motor is defined as the armature current developed in an synchronous motor due to the rotation of rotor.ⓘ Armature Current [I_a]			+10% -10%
✖Voltage, electric pressure or electric tension is the difference in electric potential between two points in electrical machines.ⓘ Voltage [V]			+10% -10%
✖Phase Difference in Synchronous Motor is defined as the difference in the phase angle of Voltage and Armature current of a synchronous motor.ⓘ Phase Difference [Φ_s]			+10% -10%

✖Input Power is defined as the total power supplied to the electrical motor from the source which is connected to it.ⓘ Input Power of Synchronous Motor [P_in]

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Formula

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Input Power of Synchronous Motor

Formula

`"P"_{"in"} = "I"_{"a"}*"V"*cos("Φ"_{"s"})`

Example

`"769.0306W"="3.70A"*"240V"*cos("30°")`

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Download Synchronous Motor Formula PDF

Input Power of Synchronous Motor Solution

STEP 0: Pre-Calculation Summary

Formula Used

Input Power = Armature Current*Voltage*cos(Phase Difference)
P_in = I_a*V*cos(Φ_s)
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

Input Power - (Measured in Watt) - Input Power is defined as the total power supplied to the electrical motor from the source which is connected to it.
Armature Current - (Measured in Ampere) - Armature Current Motor is defined as the armature current developed in an synchronous motor due to the rotation of rotor.
Voltage - (Measured in Volt) - Voltage, electric pressure or electric tension is the difference in electric potential between two points in electrical machines.
Phase Difference - (Measured in Radian) - Phase Difference in Synchronous Motor is defined as the difference in the phase angle of Voltage and Armature current of a synchronous motor.

STEP 1: Convert Input(s) to Base Unit

Armature Current: 3.7 Ampere --> 3.7 Ampere No Conversion Required
Voltage: 240 Volt --> 240 Volt No Conversion Required
Phase Difference: 30 Degree --> 0.5235987755982 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_in = I_a*V*cos(Φ_s) --> 3.7*240*cos(0.5235987755982)

Evaluating ... ...

P_in = 769.030558560581

STEP 3: Convert Result to Output's Unit

769.030558560581 Watt --> No Conversion Required

FINAL ANSWER

769.030558560581 ≈ 769.0306 Watt <-- Input Power

(Calculation completed in 00.004 seconds)

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Home » Engineering » Electrical » Machine » AC Machines » Synchronous Motor » Power » Input Power of Synchronous Motor

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Created by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

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Osmania University (OU), Hyderabad

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< 8 Power Calculators

Mechanical Power Developed by Synchronous Motor

Go Mechanical Power = ((Back EMF*Voltage)/Synchronous Impedance)*cos(Phase Difference-Load Angle)-(Back EMF^2/Synchronous Impedance)*cos(Phase Difference)

3 Phase Input Power of Synchronous Motor

Go Three Phase Input Power = sqrt(3)*Load Voltage*Load Current*cos(Phase Difference)

Mechanical Power of Synchronous Motor

Go Mechanical Power = Back EMF*Armature Current*cos(Load Angle-Phase Difference)

3 Phase Mechanical Power of Synchronous Motor

Go Three Phase Mechanical Power = Three Phase Input Power-3*Armature Current^2*Armature Resistance

Input Power of Synchronous Motor

Go Input Power = Armature Current*Voltage*cos(Phase Difference)

Mechanical Power of Synchronous Motor given Input Power

Go Mechanical Power = Input Power-Armature Current^2*Armature Resistance

Output Power for Synchronous Motor

Go Output Power = Armature Current^2*Armature Resistance

Mechanical Power of Synchronous Motor given Gross Torque

Go Mechanical Power = Gross Torque*Synchronous Speed

< 25 Synchronous Motor Circuit Calculators

Load Current of Synchronous Motor given 3 Phase Mechanical Power

Go Load Current = (Three Phase Mechanical Power+3*Armature Current^2*Armature Resistance)/(sqrt(3)*Load Voltage*cos(Phase Difference))

Power Factor of Synchronous Motor given 3 Phase Mechanical Power

Go Power Factor = (Three Phase Mechanical Power+3*Armature Current^2*Armature Resistance)/(sqrt(3)*Load Voltage*Load Current)

Distribution Factor in Synchronous Motor

Go Distribution Factor = (sin((Number of Slots*Angular Slot Pitch)/2))/(Number of Slots*sin(Angular Slot Pitch/2))

Load Current of Synchronous Motor using 3 Phase Input Power

Go Load Current = Three Phase Input Power/(sqrt(3)*Load Voltage*cos(Phase Difference))

3 Phase Input Power of Synchronous Motor

Go Three Phase Input Power = sqrt(3)*Load Voltage*Load Current*cos(Phase Difference)

Mechanical Power of Synchronous Motor

Go Mechanical Power = Back EMF*Armature Current*cos(Load Angle-Phase Difference)

Armature Current of Synchronous Motor given 3 Phase Mechanical Power

Go Armature Current = sqrt((Three Phase Input Power-Three Phase Mechanical Power)/(3*Armature Resistance))

Armature Current of Synchronous Motor given Mechanical Power

Go Armature Current = sqrt((Input Power-Mechanical Power)/Armature Resistance)

Power Factor of Synchronous Motor using 3 Phase Input Power

Go Power Factor = Three Phase Input Power/(sqrt(3)*Load Voltage*Load Current)

Armature Resistance of Synchronous Motor given 3 Phase Mechanical Power

Go Armature Resistance = (Three Phase Input Power-Three Phase Mechanical Power)/(3*Armature Current^2)

3 Phase Mechanical Power of Synchronous Motor

Go Three Phase Mechanical Power = Three Phase Input Power-3*Armature Current^2*Armature Resistance

Phase Angle between Voltage and Armature Current given Input Power

Go Phase Difference = acos(Input Power/(Voltage*Armature Current))

Armature Current of Synchronous Motor given Input Power

Go Armature Current = Input Power/(cos(Phase Difference)*Voltage)

Input Power of Synchronous Motor

Go Input Power = Armature Current*Voltage*cos(Phase Difference)

Armature Resistance of Synchronous Motor given Input Power

Go Armature Resistance = (Input Power-Mechanical Power)/(Armature Current^2)

Magnetic Flux of Synchronous Motor given Back EMF

Go Magnetic Flux = Back EMF/(Armature Winding Constant*Synchronous Speed)

Armature Winding Constant of Synchronous Motor

Go Armature Winding Constant = Back EMF/(Magnetic Flux*Synchronous Speed)

Mechanical Power of Synchronous Motor given Input Power

Go Mechanical Power = Input Power-Armature Current^2*Armature Resistance

Power Factor of Synchronous Motor given Input Power

Go Power Factor = Input Power/(Voltage*Armature Current)

Angular Slot Pitch in Synchronous Motor

Go Angular Slot Pitch = (Number of Poles*180)/(Number of Slots*2)

Output Power for Synchronous Motor

Go Output Power = Armature Current^2*Armature Resistance

Number of Poles given Synchronous Speed in Synchronous Motor

Go Number of Poles = (Frequency*120)/Synchronous Speed

Synchronous Speed of Synchronous Motor

Go Synchronous Speed = (120*Frequency)/Number of Poles

Synchronous Speed of Synchronous Motor given Mechanical Power

Go Synchronous Speed = Mechanical Power/Gross Torque

Mechanical Power of Synchronous Motor given Gross Torque

Go Mechanical Power = Gross Torque*Synchronous Speed

Input Power of Synchronous Motor Formula

Input Power = Armature Current*Voltage*cos(Phase Difference)
P_in = I_a*V*cos(Φ_s)

What are the characteristics of a synchronous motor?

Synchronous motors operate at a constant speed determined by the frequency of the power supply and the number of poles in the motor. They have a high power factor, precise speed control, require DC excitation for the rotor, and offer high efficiency and starting torque, making them suitable for heavy loads.

How to Calculate Input Power of Synchronous Motor?

Input Power of Synchronous Motor calculator uses Input Power = Armature Current*Voltage*cos(Phase Difference) to calculate the Input Power, The Input Power of Synchronous Motor formula is defined as the power of the synchronous motor at the input side. Input Power is denoted by P_in symbol.

How to calculate Input Power of Synchronous Motor using this online calculator? To use this online calculator for Input Power of Synchronous Motor, enter Armature Current (I_a), Voltage (V) & Phase Difference (Φ_s) and hit the calculate button. Here is how the Input Power of Synchronous Motor calculation can be explained with given input values -> 769.0306 = 3.7*240*cos(0.5235987755982).

FAQ

What is Input Power of Synchronous Motor?

The Input Power of Synchronous Motor formula is defined as the power of the synchronous motor at the input side and is represented as P_in = I_a*V*cos(Φ_s) or Input Power = Armature Current*Voltage*cos(Phase Difference). Armature Current Motor is defined as the armature current developed in an synchronous motor due to the rotation of rotor, Voltage, electric pressure or electric tension is the difference in electric potential between two points in electrical machines & Phase Difference in Synchronous Motor is defined as the difference in the phase angle of Voltage and Armature current of a synchronous motor.

How to calculate Input Power of Synchronous Motor?

The Input Power of Synchronous Motor formula is defined as the power of the synchronous motor at the input side is calculated using Input Power = Armature Current*Voltage*cos(Phase Difference). To calculate Input Power of Synchronous Motor, you need Armature Current (I_a), Voltage (V) & Phase Difference (Φ_s). With our tool, you need to enter the respective value for Armature Current, Voltage & Phase Difference and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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