Load Current of Synchronous Motor given 3 Phase Mechanical Power Calculator

✖Three Phase Mechanical Power is defined as the power developed by a 3-Φ Synchronous Motor to rotate the shaft.ⓘ Three Phase Mechanical Power [P_me(3Φ)]			+10% -10%
✖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%
✖The Armature Resistance is the ohmic resistance of the copper winding wires plus the brush resistance in an electrical motor.ⓘ Armature Resistance [R_a]			+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 given 3 Phase Mechanical Power [I_L]

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Load Current of Synchronous Motor given 3 Phase Mechanical Power Solution

STEP 0: Pre-Calculation Summary

Formula Used

Load Current = (Three Phase Mechanical Power+3*Armature Current^2*Armature Resistance)/(sqrt(3)*Load Voltage*cos(Phase Difference))
I_L = (P_me(3Φ)+3*I_a^2*R_a)/(sqrt(3)*V_L*cos(Φ_s))
This formula uses 2 Functions, 6 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 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 Current - (Measured in Ampere) - Armature Current Motor is defined as the armature current developed in an synchronous motor due to the rotation of rotor.
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.
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 Mechanical Power: 1056.2505 Watt --> 1056.2505 Watt No Conversion Required
Armature Current: 3.7 Ampere --> 3.7 Ampere No Conversion Required
Armature Resistance: 12.85 Ohm --> 12.85 Ohm 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_me(3Φ)+3*I_a^2*R_a)/(sqrt(3)*V_L*cos(Φ_s)) --> (1056.2505+3*3.7^2*12.85)/(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 00.020 seconds)

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Vishwakarma Government Engineering College (VGEC), Ahmedabad

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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 given 3 Phase Mechanical Power Formula

LaTeX Go

Load Current = (Three Phase Mechanical Power+3*Armature Current^2*Armature Resistance)/(sqrt(3)*Load Voltage*cos(Phase Difference))
I_L = (P_me(3Φ)+3*I_a^2*R_a)/(sqrt(3)*V_L*cos(Φ_s))

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 Load Current of Synchronous Motor given 3 Phase Mechanical Power?

Load Current of Synchronous Motor given 3 Phase Mechanical Power calculator uses Load Current = (Three Phase Mechanical Power+3*Armature Current^2*Armature Resistance)/(sqrt(3)*Load Voltage*cos(Phase Difference)) to calculate the Load Current, The Load Current of Synchronous Motor given 3 phase Mechanical 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 given 3 Phase Mechanical Power using this online calculator? To use this online calculator for Load Current of Synchronous Motor given 3 Phase Mechanical Power, enter Three Phase Mechanical Power (P_me(3Φ)), Armature Current (I_a), Armature Resistance (R_a), Load Voltage (V_L) & Phase Difference (Φ_s) and hit the calculate button. Here is how the Load Current of Synchronous Motor given 3 Phase Mechanical Power calculation can be explained with given input values -> 5.5 = (1056.2505+3*3.7^2*12.85)/(sqrt(3)*192*cos(0.5235987755982)).

FAQ

What is Load Current of Synchronous Motor given 3 Phase Mechanical Power?

The Load Current of Synchronous Motor given 3 phase Mechanical Power formula is defined as the current that flows into the load of the synchronous motor and is represented as I_L = (P_me(3Φ)+3*I_a^2*R_a)/(sqrt(3)*V_L*cos(Φ_s)) or Load Current = (Three Phase Mechanical Power+3*Armature Current^2*Armature Resistance)/(sqrt(3)*Load Voltage*cos(Phase Difference)). Three Phase Mechanical Power is defined as the power developed by a 3-Φ Synchronous Motor to rotate the shaft, Armature Current Motor is defined as the armature current developed in an synchronous motor due to the rotation of rotor, The Armature Resistance is the ohmic resistance of the copper winding wires plus the brush resistance in an electrical 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 given 3 Phase Mechanical Power?

The Load Current of Synchronous Motor given 3 phase Mechanical Power formula is defined as the current that flows into the load of the synchronous motor is calculated using Load Current = (Three Phase Mechanical Power+3*Armature Current^2*Armature Resistance)/(sqrt(3)*Load Voltage*cos(Phase Difference)). To calculate Load Current of Synchronous Motor given 3 Phase Mechanical Power, you need Three Phase Mechanical Power (P_me(3Φ)), Armature Current (I_a), Armature Resistance (R_a), Load Voltage (V_L) & Phase Difference (Φ_s). With our tool, you need to enter the respective value for Three Phase Mechanical Power, Armature Current, Armature Resistance, 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 Mechanical Power, Armature Current, Armature Resistance, Load Voltage & Phase Difference. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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