Armature Current of Synchronous Motor given 3 Phase Mechanical Power Solution

STEP 0: Pre-Calculation Summary
Formula Used
Armature Current = sqrt((Three Phase Input Power-Three Phase Mechanical Power)/(3*Armature Resistance))
Ia = sqrt((Pin(3Φ)-Pme(3Φ))/(3*Ra))
This formula uses 1 Functions, 4 Variables
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
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.
Three Phase Input Power - (Measured in Watt) - Three Phase Input Power is defined as the three phase power supplied an synchronous motor.
Three Phase Mechanical Power - (Measured in Watt) - Three Phase Mechanical Power is defined as the power developed by a 3-Φ Synchronous Motor to rotate the shaft.
Armature Resistance - (Measured in Ohm) - The Armature Resistance is the ohmic resistance of the copper winding wires plus the brush resistance in an electrical motor.
STEP 1: Convert Input(s) to Base Unit
Three Phase Input Power: 1584 Watt --> 1584 Watt No Conversion Required
Three Phase Mechanical Power: 1056.2505 Watt --> 1056.2505 Watt No Conversion Required
Armature Resistance: 12.85 Ohm --> 12.85 Ohm No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Ia = sqrt((Pin(3Φ)-Pme(3Φ))/(3*Ra)) --> sqrt((1584-1056.2505)/(3*12.85))
Evaluating ... ...
Ia = 3.7
STEP 3: Convert Result to Output's Unit
3.7 Ampere --> No Conversion Required
FINAL ANSWER
3.7 Ampere <-- Armature Current
(Calculation completed in 00.004 seconds)

Credits

Creator Image
Created by Urvi Rathod
Vishwakarma Government Engineering College (VGEC), Ahmedabad
Urvi Rathod has created this Calculator and 1500+ more calculators!
Verifier Image
Verified by Kethavath Srinath
Osmania University (OU), Hyderabad
Kethavath Srinath has verified this Calculator and 1200+ more calculators!

Current Calculators

Load Current of Synchronous Motor given 3 Phase Mechanical Power
​ LaTeX ​ 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
​ LaTeX ​ Go Load Current = Three Phase Input Power/(sqrt(3)*Load Voltage*cos(Phase Difference))
Armature Current of Synchronous Motor given Mechanical Power
​ LaTeX ​ Go Armature Current = sqrt((Input Power-Mechanical Power)/Armature Resistance)
Armature Current of Synchronous Motor given Input Power
​ LaTeX ​ Go Armature Current = Input Power/(cos(Phase Difference)*Voltage)

Synchronous Motor Circuit Calculators

Load Current of Synchronous Motor given 3 Phase Mechanical Power
​ LaTeX ​ Go Load Current = (Three Phase Mechanical Power+3*Armature Current^2*Armature Resistance)/(sqrt(3)*Load Voltage*cos(Phase Difference))
Armature Current of Synchronous Motor given 3 Phase Mechanical Power
​ LaTeX ​ Go Armature Current = sqrt((Three Phase Input Power-Three Phase Mechanical Power)/(3*Armature Resistance))
Armature Current of Synchronous Motor given Mechanical Power
​ LaTeX ​ Go Armature Current = sqrt((Input Power-Mechanical Power)/Armature Resistance)
Armature Current of Synchronous Motor given Input Power
​ LaTeX ​ Go Armature Current = Input Power/(cos(Phase Difference)*Voltage)

Armature Current of Synchronous Motor given 3 Phase Mechanical Power Formula

​LaTeX ​Go
Armature Current = sqrt((Three Phase Input Power-Three Phase Mechanical Power)/(3*Armature Resistance))
Ia = sqrt((Pin(3Φ)-Pme(3Φ))/(3*Ra))

How does a synchronous motor work?

Working of synchronous motors depends on the interaction of the magnetic field of the stator with the magnetic field of the rotor. The stator contains 3 phase windings and is supplied with 3 phase power. Thus, stator winding produces a 3 phased rotating Magnetic- Field.

How to Calculate Armature Current of Synchronous Motor given 3 Phase Mechanical Power?

Armature Current of Synchronous Motor given 3 Phase Mechanical Power calculator uses Armature Current = sqrt((Three Phase Input Power-Three Phase Mechanical Power)/(3*Armature Resistance)) to calculate the Armature Current, The Armature Current of Synchronous Motor given 3 phase Mechanical Power formula is defined as the current that flows into the armature winding of the synchronous motor. Armature Current is denoted by Ia symbol.

How to calculate Armature Current of Synchronous Motor given 3 Phase Mechanical Power using this online calculator? To use this online calculator for Armature Current of Synchronous Motor given 3 Phase Mechanical Power, enter Three Phase Input Power (Pin(3Φ)), Three Phase Mechanical Power (Pme(3Φ)) & Armature Resistance (Ra) and hit the calculate button. Here is how the Armature Current of Synchronous Motor given 3 Phase Mechanical Power calculation can be explained with given input values -> 3.7 = sqrt((1584-1056.2505)/(3*12.85)).

FAQ

What is Armature Current of Synchronous Motor given 3 Phase Mechanical Power?
The Armature Current of Synchronous Motor given 3 phase Mechanical Power formula is defined as the current that flows into the armature winding of the synchronous motor and is represented as Ia = sqrt((Pin(3Φ)-Pme(3Φ))/(3*Ra)) or Armature Current = sqrt((Three Phase Input Power-Three Phase Mechanical Power)/(3*Armature Resistance)). Three Phase Input Power is defined as the three phase power supplied an synchronous motor, Three Phase Mechanical Power is defined as the power developed by a 3-Φ Synchronous Motor to rotate the shaft & The Armature Resistance is the ohmic resistance of the copper winding wires plus the brush resistance in an electrical motor.
How to calculate Armature Current of Synchronous Motor given 3 Phase Mechanical Power?
The Armature Current of Synchronous Motor given 3 phase Mechanical Power formula is defined as the current that flows into the armature winding of the synchronous motor is calculated using Armature Current = sqrt((Three Phase Input Power-Three Phase Mechanical Power)/(3*Armature Resistance)). To calculate Armature Current of Synchronous Motor given 3 Phase Mechanical Power, you need Three Phase Input Power (Pin(3Φ)), Three Phase Mechanical Power (Pme(3Φ)) & Armature Resistance (Ra). With our tool, you need to enter the respective value for Three Phase Input Power, Three Phase Mechanical Power & Armature Resistance 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 Three Phase Input Power, Three Phase Mechanical Power & Armature Resistance. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Armature Current = Input Power/(cos(Phase Difference)*Voltage)
  • Armature Current = sqrt((Input Power-Mechanical Power)/Armature Resistance)
  • Armature Current = Input Power/(cos(Phase Difference)*Voltage)
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!