Armature Current of Synchronous Motor given Mechanical Power Solution

STEP 0: Pre-Calculation Summary
Formula Used
Armature Current = sqrt((Input Power-Mechanical Power)/Armature Resistance)
Ia = sqrt((Pin-Pm)/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.
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.
Mechanical Power - (Measured in Watt) - Mechanical Power power is the product of a force on an object and the object's velocity or the product of torque on a shaft and the shaft's angular velocity.
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
Input Power: 769 Watt --> 769 Watt No Conversion Required
Mechanical Power: 593 Watt --> 593 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-Pm)/Ra) --> sqrt((769-593)/12.85)
Evaluating ... ...
Ia = 3.70087801129336
STEP 3: Convert Result to Output's Unit
3.70087801129336 Ampere --> No Conversion Required
FINAL ANSWER
3.70087801129336 3.700878 Ampere <-- Armature Current
(Calculation completed in 00.004 seconds)

Credits

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Vishwakarma Government Engineering College (VGEC), Ahmedabad
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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 Mechanical Power Formula

Armature Current = sqrt((Input Power-Mechanical Power)/Armature Resistance)
Ia = sqrt((Pin-Pm)/Ra)

How does a synchronous motor work?

Typically, the synchronous motor has a stator with a winding similar to that of an induction motor. Its rotor produces a constant magnetic field, either from a direct current in its windings or by use of permanent magnets. The rotor’s magnetic field tends to align with the rotating field produced by the three-phase alternating currents in the stator.

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

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

How to calculate Armature Current of Synchronous Motor given Mechanical Power using this online calculator? To use this online calculator for Armature Current of Synchronous Motor given Mechanical Power, enter Input Power (Pin), Mechanical Power (Pm) & Armature Resistance (Ra) and hit the calculate button. Here is how the Armature Current of Synchronous Motor given Mechanical Power calculation can be explained with given input values -> 3.700878 = sqrt((769-593)/12.85).

FAQ

What is Armature Current of Synchronous Motor given Mechanical Power?
The Armature Current of Synchronous Motor given Mechanical Power formula is defined as the current that flows into the armature of the synchronous motor and is represented as Ia = sqrt((Pin-Pm)/Ra) or Armature Current = sqrt((Input Power-Mechanical Power)/Armature Resistance). Input Power is defined as the total power supplied to the electrical motor from the source which is connected to it, Mechanical Power power is the product of a force on an object and the object's velocity or the product of torque on a shaft and the shaft's angular velocity & 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 Mechanical Power?
The Armature Current of Synchronous Motor given Mechanical Power formula is defined as the current that flows into the armature of the synchronous motor is calculated using Armature Current = sqrt((Input Power-Mechanical Power)/Armature Resistance). To calculate Armature Current of Synchronous Motor given Mechanical Power, you need Input Power (Pin), Mechanical Power (Pm) & Armature Resistance (Ra). With our tool, you need to enter the respective value for Input Power, 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 Input Power, Mechanical Power & Armature Resistance. We can use 4 other way(s) to calculate the same, which is/are as follows -
  • Armature Current = Input Power/(cos(Phase Difference)*Voltage)
  • 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 = Input Power/(cos(Phase Difference)*Voltage)
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