Number of Poles using Specific Magnetic Loading Solution

STEP 0: Pre-Calculation Summary
Formula Used
Number of Poles = (Specific Magnetic Loading*pi*Armature Diameter*Armature Core Length)/Flux per Pole
n = (Bav*pi*Da*La)/Φ
This formula uses 1 Constants, 5 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Number of Poles - The number of poles determines the synchronous speed and operating characteristics of the machine.
Specific Magnetic Loading - (Measured in Tesla) - Specific Magnetic loading is defined as the total flux per unit area over the surface of the armature periphery and is denoted by Bav for any electrical machine.
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.
Flux per Pole - (Measured in Weber) - Flux per pole is defined as the magnetic flux present at each pole of any electrical machine.
STEP 1: Convert Input(s) to Base Unit
Specific Magnetic Loading: 0.458 Weber per Square Meter --> 0.458 Tesla (Check conversion here)
Armature Diameter: 0.5 Meter --> 0.5 Meter No Conversion Required
Armature Core Length: 0.3 Meter --> 0.3 Meter No Conversion Required
Flux per Pole: 0.054 Weber --> 0.054 Weber No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
n = (Bav*pi*Da*La)/Φ --> (0.458*pi*0.5*0.3)/0.054
Evaluating ... ...
n = 3.99680398706701
STEP 3: Convert Result to Output's Unit
3.99680398706701 --> No Conversion Required
FINAL ANSWER
3.99680398706701 4 <-- Number of Poles
(Calculation completed in 00.004 seconds)

Credits

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BANGALORE INSTITUTE OF TECHNOLOGY (BIT), BANGALORE
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19 DC Machines Calculators

Peripheral Speed of Armature using Limiting Value of Core Length
Go Peripheral Speed of Armature = (7.5)/(Specific Magnetic Loading*Limiting Value of Core Length*Turns per Coil*Number of Coils between Adjacent Segments)
Average Gap Density using Limiting Value of Core Length
Go Specific Magnetic Loading = (7.5)/(Limiting Value of Core Length*Peripheral Speed of Armature*Turns per Coil*Number of Coils between Adjacent Segments)
Limiting Value of Core Length
Go Limiting Value of Core Length = (7.5)/(Specific Magnetic Loading*Peripheral Speed of Armature*Turns per Coil*Number of Coils between Adjacent Segments)
Armature Core Length using Specific Magnetic Loading
Go Armature Core Length = (Number of Poles*Flux per Pole)/(pi*Armature Diameter*Specific Magnetic Loading)
Armature Diameter using Specific Magnetic Loading
Go Armature Diameter = (Number of Poles*Flux per Pole)/(pi*Specific Magnetic Loading*Armature Core Length)
Number of Poles using Specific Magnetic Loading
Go Number of Poles = (Specific Magnetic Loading*pi*Armature Diameter*Armature Core Length)/Flux per Pole
Flux per Pole using Specific Magnetic Loading
Go Flux per Pole = (Specific Magnetic Loading*pi*Armature Diameter*Armature Core Length)/Number of Poles
Area of Damper Winding
Go Area of Damper Winding = (0.2*Specific Electric Loading*Pole Pitch)/Current Density in Stator Conductor
Flux per Pole using Pole Pitch
Go Flux per Pole = Specific Magnetic Loading*Pole Pitch*Limiting Value of Core Length
Stator Conductor Cross Section Area
Go Stator Conductor Cross Section Area = Current in Conductor/Current Density in Stator Conductor
Specific Magnetic Loading using Output Coefficient DC
Go Specific Magnetic Loading = (Output Coefficient DC*1000)/(pi^2*Specific Electric Loading)
Output Coefficient DC
Go Output Coefficient DC = (pi^2*Specific Magnetic Loading*Specific Electric Loading)/1000
Number of Poles using Pole Pitch
Go Number of Poles = (pi*Armature Diameter)/Pole Pitch
Pole Pitch
Go Pole Pitch = (pi*Armature Diameter)/Number of Poles
Stator Conductors per Slot
Go Conductors per Slot = Number of Conductors/Number of Stator Slots
Number of Poles using Magnetic Loading
Go Number of Poles = Magnetic Loading/Flux per Pole
Flux per Pole using Magnetic Loading
Go Flux per Pole = Magnetic Loading/Number of Poles
Output Power of DC Machines
Go Output Power = Generated Power/Efficiency
Efficiency of DC Machine
Go Efficiency = Generated Power/Output Power

Number of Poles using Specific Magnetic Loading Formula

Number of Poles = (Specific Magnetic Loading*pi*Armature Diameter*Armature Core Length)/Flux per Pole
n = (Bav*pi*Da*La)/Φ

Factors influencing the Choices of specific magnetic loading

Following are the factors which influences the specific magnetic loading of the machine :
1. Iron loss
2. Voltage
3.Transient short circuit current
4. Stability
5. Parallel operation

Why does motor current increase with load?

When the loading on the motor is increased, the slip of the motor increase. The rotor induced voltage increase due to increase in the slip. The rotor current increase due to increase in rotor voltage with an increase in the slip. Thus, the motor current increase when motor load increases.

How to Calculate Number of Poles using Specific Magnetic Loading?

Number of Poles using Specific Magnetic Loading calculator uses Number of Poles = (Specific Magnetic Loading*pi*Armature Diameter*Armature Core Length)/Flux per Pole to calculate the Number of Poles, The Number of poles using Specific Magnetic Loading formula is defined as the number of poles in any electrical machine when its specific magnetic loading is given . Number of Poles is denoted by n symbol.

How to calculate Number of Poles using Specific Magnetic Loading using this online calculator? To use this online calculator for Number of Poles using Specific Magnetic Loading, enter Specific Magnetic Loading (Bav), Armature Diameter (Da), Armature Core Length (La) & Flux per Pole (Φ) and hit the calculate button. Here is how the Number of Poles using Specific Magnetic Loading calculation can be explained with given input values -> 4 = (0.458*pi*0.5*0.3)/0.054.

FAQ

What is Number of Poles using Specific Magnetic Loading?
The Number of poles using Specific Magnetic Loading formula is defined as the number of poles in any electrical machine when its specific magnetic loading is given and is represented as n = (Bav*pi*Da*La)/Φ or Number of Poles = (Specific Magnetic Loading*pi*Armature Diameter*Armature Core Length)/Flux per Pole. Specific Magnetic loading is defined as the total flux per unit area over the surface of the armature periphery and is denoted by Bav for any electrical machine, 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 & Flux per pole is defined as the magnetic flux present at each pole of any electrical machine.
How to calculate Number of Poles using Specific Magnetic Loading?
The Number of poles using Specific Magnetic Loading formula is defined as the number of poles in any electrical machine when its specific magnetic loading is given is calculated using Number of Poles = (Specific Magnetic Loading*pi*Armature Diameter*Armature Core Length)/Flux per Pole. To calculate Number of Poles using Specific Magnetic Loading, you need Specific Magnetic Loading (Bav), Armature Diameter (Da), Armature Core Length (La) & Flux per Pole (Φ). With our tool, you need to enter the respective value for Specific Magnetic Loading, Armature Diameter, Armature Core Length & Flux per Pole 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 Number of Poles?
In this formula, Number of Poles uses Specific Magnetic Loading, Armature Diameter, Armature Core Length & Flux per Pole. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Number of Poles = Magnetic Loading/Flux per Pole
  • Number of Poles = (pi*Armature Diameter)/Pole Pitch
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