3 Phase Mechanical Power of Synchronous Motor 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%
✖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%

✖Three Phase Mechanical Power is defined as the power developed by a 3-Φ Synchronous Motor to rotate the shaft.ⓘ 3 Phase Mechanical Power of Synchronous Motor [P_me(3Φ)]

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Formula

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3 Phase Mechanical Power of Synchronous Motor

Formula

`"P"_{"me(3Φ)"} = "P"_{"in(3Φ)"}-3*"I"_{"a"}^2*"R"_{"a"}`

Example

`"1056.25W"="1584W"-3*("3.70A")^2*"12.85Ω"`

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3 Phase Mechanical Power of Synchronous Motor Solution

STEP 0: Pre-Calculation Summary

Formula Used

Three Phase Mechanical Power = Three Phase Input Power-3*Armature Current^2*Armature Resistance
P_me(3Φ) = P_in(3Φ)-3*I_a^2*R_a
This formula uses 4 Variables

Variables Used

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.
Three Phase Input Power - (Measured in Watt) - Three Phase Input Power is defined as the three phase power supplied an synchronous motor.
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.

STEP 1: Convert Input(s) to Base Unit

Three Phase Input Power: 1584 Watt --> 1584 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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_me(3Φ) = P_in(3Φ)-3*I_a^2*R_a --> 1584-3*3.7^2*12.85

Evaluating ... ...

P_me(3Φ) = 1056.2505

STEP 3: Convert Result to Output's Unit

1056.2505 Watt --> No Conversion Required

FINAL ANSWER

1056.2505 ≈ 1056.25 Watt <-- Three Phase Mechanical Power

(Calculation completed in 00.004 seconds)

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Created by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

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

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Osmania University (OU), Hyderabad

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< 8 Power Calculators

Mechanical Power Developed by Synchronous Motor

Go Mechanical Power = ((Back EMF*Voltage)/Synchronous Impedance)*cos(Phase Difference-Load Angle)-(Back EMF^2/Synchronous Impedance)*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)

3 Phase Mechanical Power of Synchronous Motor

Go Three Phase Mechanical Power = Three Phase Input Power-3*Armature Current^2*Armature Resistance

Input Power of Synchronous Motor

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

Mechanical Power of Synchronous Motor given Input Power

Go Mechanical Power = Input Power-Armature Current^2*Armature Resistance

Output Power for Synchronous Motor

Go Output Power = Armature Current^2*Armature Resistance

Mechanical Power of Synchronous Motor given Gross Torque

Go Mechanical Power = Gross Torque*Synchronous Speed

< 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

3 Phase Mechanical Power of Synchronous Motor Formula

Three Phase Mechanical Power = Three Phase Input Power-3*Armature Current^2*Armature Resistance
P_me(3Φ) = P_in(3Φ)-3*I_a^2*R_a

What are the characteristics of a synchronous motor?

Synchronous motors operate at a constant speed determined by the frequency of the power supply and the number of poles in the motor. They have a high power factor, precise speed control, require DC excitation for the rotor, and offer high efficiency and starting torque, making them suitable for heavy loads.

How to Calculate 3 Phase Mechanical Power of Synchronous Motor?

3 Phase Mechanical Power of Synchronous Motor calculator uses Three Phase Mechanical Power = Three Phase Input Power-3*Armature Current^2*Armature Resistance to calculate the Three Phase Mechanical Power, The 3 Phase Mechanical Power of Synchronous Motor formula is defined as any energy derived from steam, water, wind, electricity, compressed air or gas, or the combustion of fuel or explosive, which is used to drive or work any machinery. Three Phase Mechanical Power is denoted by P_me(3Φ) symbol.

How to calculate 3 Phase Mechanical Power of Synchronous Motor using this online calculator? To use this online calculator for 3 Phase Mechanical Power of Synchronous Motor, enter Three Phase Input Power (P_in(3Φ)), Armature Current (I_a) & Armature Resistance (R_a) and hit the calculate button. Here is how the 3 Phase Mechanical Power of Synchronous Motor calculation can be explained with given input values -> 1056.25 = 1584-3*3.7^2*12.85.

FAQ

What is 3 Phase Mechanical Power of Synchronous Motor?

The 3 Phase Mechanical Power of Synchronous Motor formula is defined as any energy derived from steam, water, wind, electricity, compressed air or gas, or the combustion of fuel or explosive, which is used to drive or work any machinery and is represented as P_me(3Φ) = P_in(3Φ)-3*I_a^2*R_a or Three Phase Mechanical Power = Three Phase Input Power-3*Armature Current^2*Armature Resistance. Three Phase Input Power is defined as the three phase power supplied an synchronous motor, 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.

How to calculate 3 Phase Mechanical Power of Synchronous Motor?

The 3 Phase Mechanical Power of Synchronous Motor formula is defined as any energy derived from steam, water, wind, electricity, compressed air or gas, or the combustion of fuel or explosive, which is used to drive or work any machinery is calculated using Three Phase Mechanical Power = Three Phase Input Power-3*Armature Current^2*Armature Resistance. To calculate 3 Phase Mechanical Power of Synchronous Motor, you need Three Phase Input Power (P_in(3Φ)), Armature Current (I_a) & Armature Resistance (R_a). With our tool, you need to enter the respective value for Three Phase Input Power, Armature Current & Armature Resistance and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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