Armature Diameter using Specific Magnetic Loading Calculator

✖The number of poles determines the synchronous speed and operating characteristics of the machine.ⓘ Number of Poles [n]			+10% -10%
✖Flux per pole is defined as the magnetic flux present at each pole of any electrical machine.ⓘ Flux per Pole [Φ]			+10% -10%
✖Specific Magnetic loading is defined as the total flux per unit area over the surface of the armature periphery and is denoted by B_av for any electrical machine.ⓘ Specific Magnetic Loading [B_av]			+10% -10%
✖Armature core length refers to the axial length of the armature core, which is the part of the machine that houses the armature winding.ⓘ Armature Core Length [L_a]			+10% -10%

✖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 Diameter using Specific Magnetic Loading [D_a]

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Formula

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Armature Diameter using Specific Magnetic Loading

Formula

`"D"_{"a"} = ("n"*"Φ")/(pi*"B"_{"av"}*"L"_{"a"})`

Example

`"0.5004m"=("4"*"0.054Wb")/(pi*"0.458Wb/m²"*"0.3m")`

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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)
D_a = (n*Φ)/(pi*B_av*L_a)
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 B_av 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

D_a = (n*Φ)/(pi*B_av*L_a) --> (4*0.054)/(pi*0.458*0.3)

Evaluating ... ...

D_a = 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 00.004 seconds)

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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)
D_a = (n*Φ)/(pi*B_av*L_a)

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 D_a 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 (B_av) & Armature Core Length (L_a) 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 D_a = (n*Φ)/(pi*B_av*L_a) 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 B_av 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 (B_av) & Armature Core Length (L_a). 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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