Average Gap Density using Limiting Value of Core Length Calculator

✖Limiting value of Core length is the emf induced in a conductor should exceed 7.5/TcNc in order that the maximum value at load between adjacent segments limited to 30 V.ⓘ Limiting Value of Core Length [L_limit]			+10% -10%
✖Peripheral speed of armature is the distance travel by the armature per unit time is called as peripheral speed. n = speed in r.p.s.ⓘ Peripheral Speed of Armature [V_a]			+10% -10%
✖Turns per coil refers to the number of turns or windings of wire in each coil of the machine's winding system.ⓘ Turns per Coil [T_c]			+10% -10%
✖Number of coils between adjacent segments ,1 for simplex lap winding and P/2 for a simplex wave winding.ⓘ Number of Coils between Adjacent Segments [n_c]			+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.ⓘ Average Gap Density using Limiting Value of Core Length [B_av]

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Formula

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Average Gap Density using Limiting Value of Core Length

Formula

`"B"_{"av"} = (7.5)/("L"_{"limit"}*"V"_{"a"}*"T"_{"c"}*"n"_{"c"})`

Example

`"0.457764Wb/m²"=(7.5)/("0.3008m"*"0.0445m/s"*"204"*"6")`

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Average Gap Density using Limiting Value of Core Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

Specific Magnetic Loading = (7.5)/(Limiting Value of Core Length*Peripheral Speed of Armature*Turns per Coil*Number of Coils between Adjacent Segments)
B_av = (7.5)/(L_limit*V_a*T_c*n_c)
This formula uses 5 Variables

Variables Used

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.
Limiting Value of Core Length - (Measured in Meter) - Limiting value of Core length is the emf induced in a conductor should exceed 7.5/TcNc in order that the maximum value at load between adjacent segments limited to 30 V.
Peripheral Speed of Armature - (Measured in Meter per Second) - Peripheral speed of armature is the distance travel by the armature per unit time is called as peripheral speed. n = speed in r.p.s.
Turns per Coil - Turns per coil refers to the number of turns or windings of wire in each coil of the machine's winding system.
Number of Coils between Adjacent Segments - Number of coils between adjacent segments ,1 for simplex lap winding and P/2 for a simplex wave winding.

STEP 1: Convert Input(s) to Base Unit

Limiting Value of Core Length: 0.3008 Meter --> 0.3008 Meter No Conversion Required
Peripheral Speed of Armature: 0.0445 Meter per Second --> 0.0445 Meter per Second No Conversion Required
Turns per Coil: 204 --> No Conversion Required
Number of Coils between Adjacent Segments: 6 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

B_av = (7.5)/(L_limit*V_a*T_c*n_c) --> (7.5)/(0.3008*0.0445*204*6)

Evaluating ... ...

B_av = 0.457764387131855

STEP 3: Convert Result to Output's Unit

0.457764387131855 Tesla -->0.457764387131855 Weber per Square Meter (Check conversion here)

FINAL ANSWER

0.457764387131855 ≈ 0.457764 Weber per Square Meter <-- Specific Magnetic Loading

(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

Average Gap Density using Limiting Value of Core Length Formula

Specific Magnetic Loading = (7.5)/(Limiting Value of Core Length*Peripheral Speed of Armature*Turns per Coil*Number of Coils between Adjacent Segments)
B_av = (7.5)/(L_limit*V_a*T_c*n_c)

What is Airgap density?

The air gap flux density is the major parameter that a motor designer will base a motor design on. This presentation will show that the motor magnetic circuit designs can be modified to allow maximum motor performance with lower energy grade magnetic materials than the present high energy rare earth magnets.

Why do we need air gap in motors?

The air gap of a motor is the gap between the stator teeth or core and the rotor magnets. This gap is a key component in the motor design, and affects the overall strength of the magnetic circuit and motor efficiency.

How to Calculate Average Gap Density using Limiting Value of Core Length?

Average Gap Density using Limiting Value of Core Length calculator uses Specific Magnetic Loading = (7.5)/(Limiting Value of Core Length*Peripheral Speed of Armature*Turns per Coil*Number of Coils between Adjacent Segments) to calculate the Specific Magnetic Loading, The Average gap density using Limiting value of core length 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 is denoted by B_av symbol.

How to calculate Average Gap Density using Limiting Value of Core Length using this online calculator? To use this online calculator for Average Gap Density using Limiting Value of Core Length, enter Limiting Value of Core Length (L_limit), Peripheral Speed of Armature (V_a), Turns per Coil (T_c) & Number of Coils between Adjacent Segments (n_c) and hit the calculate button. Here is how the Average Gap Density using Limiting Value of Core Length calculation can be explained with given input values -> 0.457764 = (7.5)/(0.3008*0.0445*204*6).

FAQ

What is Average Gap Density using Limiting Value of Core Length?

The Average gap density using Limiting value of core length 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 and is represented as B_av = (7.5)/(L_limit*V_a*T_c*n_c) or 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 is the emf induced in a conductor should exceed 7.5/TcNc in order that the maximum value at load between adjacent segments limited to 30 V, Peripheral speed of armature is the distance travel by the armature per unit time is called as peripheral speed. n = speed in r.p.s, Turns per coil refers to the number of turns or windings of wire in each coil of the machine's winding system & Number of coils between adjacent segments ,1 for simplex lap winding and P/2 for a simplex wave winding.

How to calculate Average Gap Density using Limiting Value of Core Length?

The Average gap density using Limiting value of core length 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 is calculated using Specific Magnetic Loading = (7.5)/(Limiting Value of Core Length*Peripheral Speed of Armature*Turns per Coil*Number of Coils between Adjacent Segments). To calculate Average Gap Density using Limiting Value of Core Length, you need Limiting Value of Core Length (L_limit), Peripheral Speed of Armature (V_a), Turns per Coil (T_c) & Number of Coils between Adjacent Segments (n_c). With our tool, you need to enter the respective value for Limiting Value of Core Length, Peripheral Speed of Armature, Turns per Coil & Number of Coils between Adjacent Segments 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 Specific Magnetic Loading?

In this formula, Specific Magnetic Loading uses Limiting Value of Core Length, Peripheral Speed of Armature, Turns per Coil & Number of Coils between Adjacent Segments. We can use 1 other way(s) to calculate the same, which is/are as follows -

Specific Magnetic Loading = (Output Coefficient DC*1000)/(pi^2*Specific Electric Loading)

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