Synchronous Speed of Synchronous Motor Solution

STEP 0: Pre-Calculation Summary
Formula Used
Synchronous Speed = (120*Frequency)/Number of Poles
Ns = (120*f)/P
This formula uses 3 Variables
Variables Used
Synchronous Speed - (Measured in Radian per Second) - Synchronous speed is a definite speed for an alternating-current machine that is dependent on the frequency of the supply circuit.
Frequency - (Measured in Hertz) - Frequency is the rate at which current changes direction per second. It is measured in hertz (Hz).
Number of Poles - Number of Poles is defined as the total number of poles present in any electrical machine.
STEP 1: Convert Input(s) to Base Unit
Frequency: 61 Hertz --> 61 Hertz No Conversion Required
Number of Poles: 3 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Ns = (120*f)/P --> (120*61)/3
Evaluating ... ...
Ns = 2440
STEP 3: Convert Result to Output's Unit
2440 Radian per Second -->23300.28366984 Revolution per Minute (Check conversion here)
FINAL ANSWER
23300.28366984 23300.28 Revolution per Minute <-- Synchronous Speed
(Calculation completed in 00.004 seconds)

Credits

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Vishwakarma Government Engineering College (VGEC), Ahmedabad
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2 Speed Calculators

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

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

Synchronous Speed of Synchronous Motor Formula

Synchronous Speed = (120*Frequency)/Number of Poles
Ns = (120*f)/P

Is synchronous motor a fixed speed motor?

This is where the term synchronous motor comes from, as the speed of the rotor of the motor is the same as the rotating magnetic field. It is a fixed speed motor because it has only one speed, which is synchronous speed.

How to Calculate Synchronous Speed of Synchronous Motor?

Synchronous Speed of Synchronous Motor calculator uses Synchronous Speed = (120*Frequency)/Number of Poles to calculate the Synchronous Speed, The Synchronous Speed of Synchronous Motor given ka formula is defined as a definite speed for an alternating-current machine that is dependent on the frequency of the supply circuit because the rotating member passes one pair of poles for each alternation of the alternating current. Synchronous Speed is denoted by Ns symbol.

How to calculate Synchronous Speed of Synchronous Motor using this online calculator? To use this online calculator for Synchronous Speed of Synchronous Motor, enter Frequency (f) & Number of Poles (P) and hit the calculate button. Here is how the Synchronous Speed of Synchronous Motor calculation can be explained with given input values -> 222501.3 = (120*61)/3.

FAQ

What is Synchronous Speed of Synchronous Motor?
The Synchronous Speed of Synchronous Motor given ka formula is defined as a definite speed for an alternating-current machine that is dependent on the frequency of the supply circuit because the rotating member passes one pair of poles for each alternation of the alternating current and is represented as Ns = (120*f)/P or Synchronous Speed = (120*Frequency)/Number of Poles. Frequency is the rate at which current changes direction per second. It is measured in hertz (Hz) & Number of Poles is defined as the total number of poles present in any electrical machine.
How to calculate Synchronous Speed of Synchronous Motor?
The Synchronous Speed of Synchronous Motor given ka formula is defined as a definite speed for an alternating-current machine that is dependent on the frequency of the supply circuit because the rotating member passes one pair of poles for each alternation of the alternating current is calculated using Synchronous Speed = (120*Frequency)/Number of Poles. To calculate Synchronous Speed of Synchronous Motor, you need Frequency (f) & Number of Poles (P). With our tool, you need to enter the respective value for Frequency & Number of Poles 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 Synchronous Speed?
In this formula, Synchronous Speed uses Frequency & Number of Poles. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Synchronous Speed = Mechanical Power/Gross Torque
  • Synchronous Speed = Mechanical Power/Gross Torque
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