Armature Core Length using Output Equation Solution

STEP 0: Pre-Calculation Summary
Formula Used
Armature Core Length = Output Power/(Output Coefficient AC*1000*Armature Diameter^2*Synchronous Speed)
La = Po/(Co(ac)*1000*Da^2*Ns)
This formula uses 5 Variables
Variables Used
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.
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.
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.
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
Synchronous Speed: 1500 Revolution per Second --> 9424.77796028944 Radian per Second (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
La = Po/(Co(ac)*1000*Da^2*Ns) --> 600000/(0.85*1000*0.5^2*9424.77796028944)
Evaluating ... ...
La = 0.299585775247059
STEP 3: Convert Result to Output's Unit
0.299585775247059 Meter --> No Conversion Required
0.299585775247059 0.299586 Meter <-- Armature Core Length
(Calculation completed in 00.004 seconds)
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< 7 Mechanical Parameters Calculators

Armature Diameter using Output Equation
Armature Diameter = sqrt(Output Power/(Output Coefficient AC*1000*Synchronous Speed*Armature Core Length))
Armature Core Length using Output Equation
Armature Core Length = Output Power/(Output Coefficient AC*1000*Armature Diameter^2*Synchronous Speed)
Area of Field Conductor
Area of Field Conductor = (Full Load Field MMF*Resistivity*Length of Mean Turn)/Field Coil Voltage
Diameter of Damper Bar
Diameter of Damper Bar = sqrt((4*Area of Damper Winding)/pi)
Cross Sectional Area of Damper Winding
Cross-Sectional Area of Damper Winding = Area of Damper Winding/Number of Damper Bar
Number of Damper Bars
Number of Damper Bar = Pole Arc/(0.8*Slot Pitch)
Length of Damper Bar
Length of Damper Bar = 1.1*Armature Core Length

Armature Core Length using Output Equation Formula

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

What is the function of armature core?

The armature's role is twofold. The first is to carry current across the field, thus creating shaft torque in a rotating machine or force in a linear machine. The second role is to generate an electromotive force (EMF).

What is the formula of synchronous machine?

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 Armature Core Length using Output Equation?

Armature Core Length using Output Equation calculator uses Armature Core Length = Output Power/(Output Coefficient AC*1000*Armature Diameter^2*Synchronous Speed) to calculate the Armature Core Length, The Armature core length using output equation formula is defined as the total length of the armature core of any given electrical machine. The armature core length in an electrical machine can be determined using the output equation. The output equation relates the machine's output power to various design parameters, including the armature core length. Armature Core Length is denoted by La symbol.

How to calculate Armature Core Length using Output Equation using this online calculator? To use this online calculator for Armature Core Length using Output Equation, enter Output Power (Po), Output Coefficient AC (Co(ac)), Armature Diameter (Da) & Synchronous Speed (Ns) and hit the calculate button. Here is how the Armature Core Length using Output Equation calculation can be explained with given input values -> 0.299586 = 600000/(0.85*1000*0.5^2*9424.77796028944).

FAQ

What is Armature Core Length using Output Equation?
The Armature core length using output equation formula is defined as the total length of the armature core of any given electrical machine. The armature core length in an electrical machine can be determined using the output equation. The output equation relates the machine's output power to various design parameters, including the armature core length and is represented as La = Po/(Co(ac)*1000*Da^2*Ns) or Armature Core Length = Output Power/(Output Coefficient AC*1000*Armature Diameter^2*Synchronous Speed). 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 & 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.
How to calculate Armature Core Length using Output Equation?
The Armature core length using output equation formula is defined as the total length of the armature core of any given electrical machine. The armature core length in an electrical machine can be determined using the output equation. The output equation relates the machine's output power to various design parameters, including the armature core length is calculated using Armature Core Length = Output Power/(Output Coefficient AC*1000*Armature Diameter^2*Synchronous Speed). To calculate Armature Core Length using Output Equation, you need Output Power (Po), Output Coefficient AC (Co(ac)), Armature Diameter (Da) & Synchronous Speed (Ns). With our tool, you need to enter the respective value for Output Power, Output Coefficient AC, Armature Diameter & Synchronous Speed 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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