Load Current of Synchronous Motor using 3 Phase Input Power Calculator

✖Three Phase Input Power is defined as the three phase power supplied an synchronous motor.ⓘ Three Phase Input Power [P_in(3Φ)]			+10% -10%
✖The Load Voltage is defined as the voltage between two terminals of load.ⓘ Load Voltage [V_L]			+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%

✖Load current is defined as the magnitude of the current drawn from an electric circuit by the load (electrical machine) connected across it.ⓘ Load Current of Synchronous Motor using 3 Phase Input Power [I_L]

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Load Current of Synchronous Motor using 3 Phase Input Power Solution

STEP 0: Pre-Calculation Summary

Formula Used

Load Current = Three Phase Input Power/(sqrt(3)*Load Voltage*cos(Phase Difference))
I_L = P_in(3Φ)/(sqrt(3)*V_L*cos(Φ_s))
This formula uses 2 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)
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

Load Current - (Measured in Ampere) - Load current is defined as the magnitude of the current drawn from an electric circuit by the load (electrical machine) connected across it.
Three Phase Input Power - (Measured in Watt) - Three Phase Input Power is defined as the three phase power supplied an synchronous motor.
Load Voltage - (Measured in Volt) - The Load Voltage is defined as the voltage between two terminals of load.
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

Three Phase Input Power: 1584 Watt --> 1584 Watt No Conversion Required
Load Voltage: 192 Volt --> 192 Volt No Conversion Required
Phase Difference: 30 Degree --> 0.5235987755982 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I_L = P_in(3Φ)/(sqrt(3)*V_L*cos(Φ_s)) --> 1584/(sqrt(3)*192*cos(0.5235987755982))

Evaluating ... ...

I_L = 5.5

STEP 3: Convert Result to Output's Unit

5.5 Ampere --> No Conversion Required

FINAL ANSWER

5.5 Ampere <-- Load Current

(Calculation completed in 00.004 seconds)

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< 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)

Load Current of Synchronous Motor using 3 Phase Input Power Formula

LaTeX Go

Load Current = Three Phase Input Power/(sqrt(3)*Load Voltage*cos(Phase Difference))
I_L = P_in(3Φ)/(sqrt(3)*V_L*cos(Φ_s))

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 Load Current of Synchronous Motor using 3 Phase Input Power?

Load Current of Synchronous Motor using 3 Phase Input Power calculator uses Load Current = Three Phase Input Power/(sqrt(3)*Load Voltage*cos(Phase Difference)) to calculate the Load Current, The Load Current of Synchronous Motor using 3 phase Input Power formula is defined as the current that flows into the load of the synchronous motor. Load Current is denoted by I_L symbol.

How to calculate Load Current of Synchronous Motor using 3 Phase Input Power using this online calculator? To use this online calculator for Load Current of Synchronous Motor using 3 Phase Input Power, enter Three Phase Input Power (P_in(3Φ)), Load Voltage (V_L) & Phase Difference (Φ_s) and hit the calculate button. Here is how the Load Current of Synchronous Motor using 3 Phase Input Power calculation can be explained with given input values -> 5.5 = 1584/(sqrt(3)*192*cos(0.5235987755982)).

FAQ

What is Load Current of Synchronous Motor using 3 Phase Input Power?

The Load Current of Synchronous Motor using 3 phase Input Power formula is defined as the current that flows into the load of the synchronous motor and is represented as I_L = P_in(3Φ)/(sqrt(3)*V_L*cos(Φ_s)) or Load Current = Three Phase Input Power/(sqrt(3)*Load Voltage*cos(Phase Difference)). Three Phase Input Power is defined as the three phase power supplied an synchronous motor, The Load Voltage is defined as the voltage between two terminals of load & 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 Load Current of Synchronous Motor using 3 Phase Input Power?

The Load Current of Synchronous Motor using 3 phase Input Power formula is defined as the current that flows into the load of the synchronous motor is calculated using Load Current = Three Phase Input Power/(sqrt(3)*Load Voltage*cos(Phase Difference)). To calculate Load Current of Synchronous Motor using 3 Phase Input Power, you need Three Phase Input Power (P_in(3Φ)), Load Voltage (V_L) & Phase Difference (Φ_s). With our tool, you need to enter the respective value for Three Phase Input Power, Load Voltage & Phase Difference 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 Load Current?

In this formula, Load Current uses Three Phase Input Power, Load Voltage & Phase Difference. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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