Limiting Value of Core Length Calculator

✖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%
✖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%

✖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]

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Formula

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Limiting Value of Core Length

Formula

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

Example

`"0.300645m"=(7.5)/("0.458Wb/m²"*"0.0445m/s"*"204"*"6")`

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Limiting Value of Core Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
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

Specific Magnetic Loading: 0.458 Weber per Square Meter --> 0.458 Tesla (Check conversion here)
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

L_limit = (7.5)/(B_av*V_a*T_c*n_c) --> (7.5)/(0.458*0.0445*204*6)

Evaluating ... ...

L_limit = 0.300645256876118

STEP 3: Convert Result to Output's Unit

0.300645256876118 Meter --> No Conversion Required

FINAL ANSWER

0.300645256876118 ≈ 0.300645 Meter <-- Limiting Value of Core Length

(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

Limiting Value of Core Length Formula

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

What are the factors the value of core length?

The value of core length to pole pitch varies from 0.6 to 2. It depends on the cost, efficiency, power factor, overall design.

What is limiting value of armature diameter?

The diameter of the commutator is chosen as 60 to 80% of armature diameter. The limiting factor is the peripheral speed.

How to Calculate Limiting Value of Core Length?

Limiting Value of Core Length calculator uses Limiting Value of Core Length = (7.5)/(Specific Magnetic Loading*Peripheral Speed of Armature*Turns per Coil*Number of Coils between Adjacent Segments) to calculate the Limiting Value of Core Length, The Limiting value of core length is the approaching or closest value of core length of the machine. It depends on the cost, efficiency, power factor, overall design. Limiting Value of Core Length is denoted by L_limit symbol.

How to calculate Limiting Value of Core Length using this online calculator? To use this online calculator for Limiting Value of Core Length, enter Specific Magnetic Loading (B_av), 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 Limiting Value of Core Length calculation can be explained with given input values -> 0.300645 = (7.5)/(0.458*0.0445*204*6).

FAQ

What is Limiting Value of Core Length?

The Limiting value of core length is the approaching or closest value of core length of the machine. It depends on the cost, efficiency, power factor, overall design and is represented as L_limit = (7.5)/(B_av*V_a*T_c*n_c) or Limiting Value of Core Length = (7.5)/(Specific Magnetic Loading*Peripheral Speed of Armature*Turns per Coil*Number of Coils between Adjacent Segments). 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, 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 Limiting Value of Core Length?

The Limiting value of core length is the approaching or closest value of core length of the machine. It depends on the cost, efficiency, power factor, overall design is calculated using Limiting Value of Core Length = (7.5)/(Specific Magnetic Loading*Peripheral Speed of Armature*Turns per Coil*Number of Coils between Adjacent Segments). To calculate Limiting Value of Core Length, you need Specific Magnetic Loading (B_av), 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 Specific Magnetic Loading, 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.

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