Armature Current of Synchronous Motor given Input Power Calculator

✖Input Power is defined as the total power supplied to the electrical motor from the source which is connected to it.ⓘ Input Power [P_in]			+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%
✖Voltage, electric pressure or electric tension is the difference in electric potential between two points in electrical machines.ⓘ Voltage [V]			+10% -10%

✖Armature Current Motor is defined as the armature current developed in an synchronous motor due to the rotation of rotor.ⓘ Armature Current of Synchronous Motor given Input Power [I_a]

⎘ Copy

👎

Formula

✖

Armature Current of Synchronous Motor given Input Power

Formula

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

Example

`"3.699853A"="769W"/(cos("30°")*"240V")`

Calculator

LaTeX

Reset

👍

Download Synchronous Motor Formula PDF

Armature Current of Synchronous Motor given Input Power Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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.
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.
Voltage - (Measured in Volt) - Voltage, electric pressure or electric tension is the difference in electric potential between two points in electrical machines.

STEP 1: Convert Input(s) to Base Unit

Input Power: 769 Watt --> 769 Watt No Conversion Required
Phase Difference: 30 Degree --> 0.5235987755982 Radian (Check conversion here)
Voltage: 240 Volt --> 240 Volt No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I_a = P_in/(cos(Φ_s)*V) --> 769/(cos(0.5235987755982)*240)

Evaluating ... ...

I_a = 3.69985297505685

STEP 3: Convert Result to Output's Unit

3.69985297505685 Ampere --> No Conversion Required

FINAL ANSWER

3.69985297505685 ≈ 3.699853 Ampere <-- Armature Current

(Calculation completed in 00.004 seconds)

You are here -

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

Credits

Created by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

Urvi Rathod has created this Calculator and 1500+ more calculators!

Verified by Kethavath Srinath

Osmania University (OU), Hyderabad

Kethavath Srinath has verified this Calculator and 1200+ more calculators!

< 5 Current 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))

Load Current of Synchronous Motor using 3 Phase Input Power

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

Armature Current of Synchronous Motor given Input Power

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

< 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

Armature Current of Synchronous Motor given Input Power Formula

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

Is synchronous motor a fixed speed motor?

This is where the term synchronous motor comes from, as the speed of the rotor of the motor is the same as the rotating magnetic field. It is a fixed speed motor because it has only one speed, which is synchronous speed.

How to Calculate Armature Current of Synchronous Motor given Input Power?

Armature Current of Synchronous Motor given Input Power calculator uses Armature Current = Input Power/(cos(Phase Difference)*Voltage) to calculate the Armature Current, The Armature Current of Synchronous Motor given Input Power formula is defined as the current that flows into the armature winding of the synchronous motor. Armature Current is denoted by I_a symbol.

How to calculate Armature Current of Synchronous Motor given Input Power using this online calculator? To use this online calculator for Armature Current of Synchronous Motor given Input Power, enter Input Power (P_in), Phase Difference (Φ_s) & Voltage (V) and hit the calculate button. Here is how the Armature Current of Synchronous Motor given Input Power calculation can be explained with given input values -> 3.699853 = 769/(cos(0.5235987755982)*240).

FAQ

What is Armature Current of Synchronous Motor given Input Power?

The Armature Current of Synchronous Motor given Input Power formula is defined as the current that flows into the armature winding of the synchronous motor and is represented as I_a = P_in/(cos(Φ_s)*V) or Armature Current = Input Power/(cos(Phase Difference)*Voltage). Input Power is defined as the total power supplied to the electrical motor from the source which is connected to it, Phase Difference in Synchronous Motor is defined as the difference in the phase angle of Voltage and Armature current of a synchronous motor & Voltage, electric pressure or electric tension is the difference in electric potential between two points in electrical machines.

How to calculate Armature Current of Synchronous Motor given Input Power?

The Armature Current of Synchronous Motor given Input Power formula is defined as the current that flows into the armature winding of the synchronous motor is calculated using Armature Current = Input Power/(cos(Phase Difference)*Voltage). To calculate Armature Current of Synchronous Motor given Input Power, you need Input Power (P_in), Phase Difference (Φ_s) & Voltage (V). With our tool, you need to enter the respective value for Input Power, Phase Difference & Voltage 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 Armature Current?

In this formula, Armature Current uses Input Power, Phase Difference & Voltage. We can use 4 other way(s) to calculate the same, which is/are as follows -

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

Home

FREE PDFs

🔍 Search