Synchronous Speed using Output Equation Solution

STEP 0: Pre-Calculation Summary
Formula Used
Synchronous Speed = Output Power/(Output Coefficient AC*1000*Armature Diameter^2*Armature Core Length)
Ns = Po/(Co(ac)*1000*Da^2*La)
This formula uses 5 Variables
Variables Used
Synchronous Speed - (Measured in Radian per Second) - Synchronous speed (rps) is a significant parameter for the rotating magnetic field-type AC motor. It is determined by the frequency and the number of magnetic poles.
Output Power - (Measured in Watt) - The output power of a synchronous machine refers to the electrical power that it can deliver or generate. It is the power that is transferred from the machine to an external load or system.
Output Coefficient AC - Output coefficient AC is, Substitution of equations of electric loading and magnetic loadings in the power equation, we have, where C0 is called the output coefficient.(11 Bav q Kw η cos Φ x 10-3).
Armature Diameter - (Measured in Meter) - Armature diameter refers to the diameter of the armature core, which is a component found in certain types of electric machines, such as motors and generators.
Armature Core Length - (Measured in Meter) - Armature core length refers to the axial length of the armature core, which is the part of the machine that houses the armature winding.
STEP 1: Convert Input(s) to Base Unit
Output Power: 600 Kilowatt --> 600000 Watt (Check conversion here)
Output Coefficient AC: 0.85 --> No Conversion Required
Armature Diameter: 0.5 Meter --> 0.5 Meter No Conversion Required
Armature Core Length: 0.3 Meter --> 0.3 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Ns = Po/(Co(ac)*1000*Da^2*La) --> 600000/(0.85*1000*0.5^2*0.3)
Evaluating ... ...
Ns = 9411.76470588235
STEP 3: Convert Result to Output's Unit
9411.76470588235 Radian per Second -->1497.92887623529 Revolution per Second (Check conversion here)
FINAL ANSWER
1497.92887623529 1497.929 Revolution per Second <-- Synchronous Speed
(Calculation completed in 00.004 seconds)

Credits

Created by swapanshil kumar
ramgarh engineering college (REC), ramgarh
swapanshil kumar has created this Calculator and 25+ more calculators!
Verified by Parminder Singh
Chandigarh University (CU), Punjab
Parminder Singh has verified this Calculator and 600+ more calculators!

13 Electrical Parameters Calculators

Specific Electric Loading
Go Specific Electric Loading = (Armature Current*Number of Conductors)/(pi*Number of Parallel Paths*Armature Diameter)
Output Coefficient using Output Equation
Go Output Coefficient AC = Output Power/(Armature Core Length*Armature Diameter^2*Synchronous Speed*1000)
Synchronous Speed using Output Equation
Go Synchronous Speed = Output Power/(Output Coefficient AC*1000*Armature Diameter^2*Armature Core Length)
Output Power of Synchronous Machine
Go Output Power = Output Coefficient AC*1000*Armature Diameter^2*Armature Core Length*Synchronous Speed
Field Resistance
Go Field Resistance = (Turns per Coil*Resistivity*Length of Mean Turn)/Area of Field Conductor
Specific Electric Loading using Output Coefficient AC
Go Specific Electric Loading = (Output Coefficient AC*1000)/(11*Specific Magnetic Loading*Winding Factor)
Winding Factor using Output Coefficient AC
Go Winding Factor = (Output Coefficient AC*1000)/(11*Specific Magnetic Loading*Specific Electric Loading)
Current per Phase
Go Current per Phase = (Apparent Power*1000)/(Induced Emf per Phase*3)
Current in Conductor
Go Current in Conductor = Current per Phase/Number of Parallel Paths
Field Coil Voltage
Go Field Coil Voltage = Field Current*Field Resistance
Field Current
Go Field Current = Field Coil Voltage/Field Resistance
Apparent Power
Go Apparent Power = Rated Real Power/Power Factor
Short Circuit Ratio
Go Short Circuit Ratio = 1/Synchronous Reactance

Synchronous Speed using Output Equation Formula

Synchronous Speed = Output Power/(Output Coefficient AC*1000*Armature Diameter^2*Armature Core Length)
Ns = Po/(Co(ac)*1000*Da^2*La)

What is synchronous speed and its formula?

The synchronous speed of an AC motor is determined by the frequency of the source and the number of poles. The RPM is calculated by multiplying the frequency times 60 and dividing by the number of pairs of poles.

How to Calculate Synchronous Speed using Output Equation?

Synchronous Speed using Output Equation calculator uses Synchronous Speed = Output Power/(Output Coefficient AC*1000*Armature Diameter^2*Armature Core Length) to calculate the Synchronous Speed, The Synchronous speed using output equation formula is defined the speed of the revolution of the magnetic field in the stator winding of the motor. It is the speed at which the electromotive force is produced by the alternating machine. Synchronous Speed is denoted by Ns symbol.

How to calculate Synchronous Speed using Output Equation using this online calculator? To use this online calculator for Synchronous Speed using Output Equation, enter Output Power (Po), Output Coefficient AC (Co(ac)), Armature Diameter (Da) & Armature Core Length (La) and hit the calculate button. Here is how the Synchronous Speed using Output Equation calculation can be explained with given input values -> 238.4028 = 600000/(0.85*1000*0.5^2*0.3).

FAQ

What is Synchronous Speed using Output Equation?
The Synchronous speed using output equation formula is defined the speed of the revolution of the magnetic field in the stator winding of the motor. It is the speed at which the electromotive force is produced by the alternating machine and is represented as Ns = Po/(Co(ac)*1000*Da^2*La) or Synchronous Speed = Output Power/(Output Coefficient AC*1000*Armature Diameter^2*Armature Core Length). The output power of a synchronous machine refers to the electrical power that it can deliver or generate. It is the power that is transferred from the machine to an external load or system, Output coefficient AC is, Substitution of equations of electric loading and magnetic loadings in the power equation, we have, where C0 is called the output coefficient.(11 Bav q Kw η cos Φ x 10-3), Armature diameter refers to the diameter of the armature core, which is a component found in certain types of electric machines, such as motors and generators & Armature core length refers to the axial length of the armature core, which is the part of the machine that houses the armature winding.
How to calculate Synchronous Speed using Output Equation?
The Synchronous speed using output equation formula is defined the speed of the revolution of the magnetic field in the stator winding of the motor. It is the speed at which the electromotive force is produced by the alternating machine is calculated using Synchronous Speed = Output Power/(Output Coefficient AC*1000*Armature Diameter^2*Armature Core Length). To calculate Synchronous Speed using Output Equation, you need Output Power (Po), Output Coefficient AC (Co(ac)), Armature Diameter (Da) & Armature Core Length (La). With our tool, you need to enter the respective value for Output Power, Output Coefficient AC, Armature Diameter & Armature Core Length and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!