Armature Diameter using Specific Magnetic Loading Solution

STEP 0: Pre-Calculation Summary
Formula Used
Armature Diameter = (Number of Poles*Flux per Pole)/(pi*Specific Magnetic Loading*Armature Core Length)
Da = (n*Φ)/(pi*Bav*La)
This formula uses 1 Constants, 5 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
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.
Number of Poles - The number of poles determines the synchronous speed and operating characteristics of the machine.
Flux per Pole - (Measured in Weber) - Flux per pole is defined as the magnetic flux present at each pole of any electrical 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 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
Number of Poles: 4 --> No Conversion Required
Flux per Pole: 0.054 Weber --> 0.054 Weber No Conversion Required
Specific Magnetic Loading: 0.458 Weber per Square Meter --> 0.458 Tesla (Check conversion ​here)
Armature Core Length: 0.3 Meter --> 0.3 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Da = (n*Φ)/(pi*Bav*La) --> (4*0.054)/(pi*0.458*0.3)
Evaluating ... ...
Da = 0.500399821074955
STEP 3: Convert Result to Output's Unit
0.500399821074955 Meter --> No Conversion Required
FINAL ANSWER
0.500399821074955 0.5004 Meter <-- Armature Diameter
(Calculation completed in 00.010 seconds)

Credits

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Created by ANKIT PAUL
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

Armature Diameter using Specific Magnetic Loading Formula

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

What is the purpose of armature core in DC machine?

The armature core serves the following purposes:
(i) It houses the conductors in the slots.
(ii) It provides an easy path for magnetic flux.
Since armature is a rotating part of the machine, reversal of flux takes place in the core, hence hysteresis losses are produced.

Why does the weight of iron in the armature core decrease with increase in number of pole?

in the armature increases and therefore efficiency of the machine decreases. It is clear that is 1/P As is also almost constant for a given iron. Thus, as the number of poles increases, And hence the weight of iron used for the yoke reduces.

How to Calculate Armature Diameter using Specific Magnetic Loading?

Armature Diameter using Specific Magnetic Loading calculator uses Armature Diameter = (Number of Poles*Flux per Pole)/(pi*Specific Magnetic Loading*Armature Core Length) to calculate the Armature Diameter, The Armature diameter using Specific magnetic loading formula is defined as the relation between the armature diameter and the specific magnetic loading of a given electrical machine. Armature Diameter is denoted by Da symbol.

How to calculate Armature Diameter using Specific Magnetic Loading using this online calculator? To use this online calculator for Armature Diameter using Specific Magnetic Loading, enter Number of Poles (n), Flux per Pole (Φ), Specific Magnetic Loading (Bav) & Armature Core Length (La) and hit the calculate button. Here is how the Armature Diameter using Specific Magnetic Loading calculation can be explained with given input values -> 0.5004 = (4*0.054)/(pi*0.458*0.3).

FAQ

What is Armature Diameter using Specific Magnetic Loading?
The Armature diameter using Specific magnetic loading formula is defined as the relation between the armature diameter and the specific magnetic loading of a given electrical machine and is represented as Da = (n*Φ)/(pi*Bav*La) or Armature Diameter = (Number of Poles*Flux per Pole)/(pi*Specific Magnetic Loading*Armature Core Length). The number of poles determines the synchronous speed and operating characteristics of the machine, Flux per pole is defined as the magnetic flux present at each pole of any electrical machine, 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 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 Armature Diameter using Specific Magnetic Loading?
The Armature diameter using Specific magnetic loading formula is defined as the relation between the armature diameter and the specific magnetic loading of a given electrical machine is calculated using Armature Diameter = (Number of Poles*Flux per Pole)/(pi*Specific Magnetic Loading*Armature Core Length). To calculate Armature Diameter using Specific Magnetic Loading, you need Number of Poles (n), Flux per Pole (Φ), Specific Magnetic Loading (Bav) & Armature Core Length (La). With our tool, you need to enter the respective value for Number of Poles, Flux per Pole, Specific Magnetic Loading & Armature Core Length 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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