Pitch Factor in Induction Motor Calculator

✖Short Pitched Anglel, the coil span will be (180 - θ)° electrical (θ = angle by which coils are short-pitched and always less than pole pitch).ⓘ Short Pitched Angle [θ]

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✖Pitch Factor, the ratio of the voltage induced in a short-pitch winding to the voltage that would be induced if the winding were full pitch.ⓘ Pitch Factor in Induction Motor [K_p]

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Formula

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Pitch Factor in Induction Motor

Formula

`"K"_{"p"} = cos("θ"/2)`

Example

`"0.707107"=cos("90°"/2)`

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Pitch Factor in Induction Motor Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pitch Factor = cos(Short Pitched Angle/2)
K_p = cos(θ/2)
This formula uses 1 Functions, 2 Variables

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)

Variables Used

Pitch Factor - Pitch Factor, the ratio of the voltage induced in a short-pitch winding to the voltage that would be induced if the winding were full pitch.
Short Pitched Angle - (Measured in Radian) - Short Pitched Anglel, the coil span will be (180 - θ)° electrical (θ = angle by which coils are short-pitched and always less than pole pitch).

STEP 1: Convert Input(s) to Base Unit

Short Pitched Angle: 90 Degree --> 1.5707963267946 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

K_p = cos(θ/2) --> cos(1.5707963267946/2)

Evaluating ... ...

K_p = 0.707106781186652

STEP 3: Convert Result to Output's Unit

0.707106781186652 --> No Conversion Required

FINAL ANSWER

0.707106781186652 ≈ 0.707107 <-- Pitch Factor

(Calculation completed in 00.004 seconds)

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Created by Aman Dhussawat

GURU TEGH BAHADUR INSTITUTE OF TECHNOLOGY (GTBIT), NEW DELHI

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Chandigarh University (CU), Punjab

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< 3 Mechanical Specifications Calculators

Thrust in Linear Induction Motor

Go Force = Rotor Input Power/Linear Synchronous Speed

Force by Linear Induction Motor

Go Force = Input Power/Linear Synchronous Speed

Pitch Factor in Induction Motor

Go Pitch Factor = cos(Short Pitched Angle/2)

< 25 Induction Motor Circuit Calculators

Torque of Induction Motor under Running Condition

Go Torque = (3*Slip*EMF^2*Resistance)/(2*pi*Synchronous Speed*(Resistance^2+(Reactance^2*Slip)))

Rotor Current in Induction Motor

Go Rotor Current = (Slip*Induced EMF)/sqrt(Rotor Resistance per Phase^2+(Slip*Rotor Reactance per Phase)^2)

Starting Torque of Induction Motor

Go Torque = (3*EMF^2*Resistance)/(2*pi*Synchronous Speed*(Resistance^2+Reactance^2))

Maximum Running Torque

Go Running Torque = (3*EMF^2)/(4*pi*Synchronous Speed*Reactance)

Linear Synchronous Speed

Go Linear Synchronous Speed = 2*Pole Pitch Width*Line Frequency

Stator Copper Loss in Induction Motor

Go Stator Copper Loss = 3*Stator Current^2*Stator Resistance

Rotor Copper Loss in Induction Motor

Go Rotor Copper Loss = 3*Rotor Current^2*Rotor Resistance

Synchronous Speed in Induction Motor

Go Synchronous Speed = (120*Frequency)/(Number of Poles)

Frequency given Number of Poles in Induction Motor

Go Frequency = (Number of Poles*Synchronous Speed)/120

Armature Current given Power in Induction Motor

Go Armature Current = Output Power/Armature Voltage

Synchronous Speed of Induction Motor given Efficiency

Go Synchronous Speed = (Motor Speed)/(Efficiency)

Rotor Efficiency in Induction Motor

Go Efficiency = (Motor Speed)/(Synchronous Speed)

Field Current using Load Current in Induction Motor

Go Field Current = Armature Current-Load Current

Rotor Input Power in Induction Motor

Go Rotor Input Power = Input Power-Stator Losses

Load Current in Induction Motor

Go Load Current = Armature Current-Field Current

Force by Linear Induction Motor

Go Force = Input Power/Linear Synchronous Speed

Motor Speed given Efficiency in Induction Motor

Go Motor Speed = Efficiency*Synchronous Speed

Rotor Copper Loss given Input Rotor Power

Go Rotor Copper Loss = Slip*Rotor Input Power

Pitch Factor in Induction Motor

Go Pitch Factor = cos(Short Pitched Angle/2)

Gross Mechanical Power in Induction Motor

Go Mechanical Power = (1-Slip)*Input Power

Rotor Frequency given Supply Frequency

Go Rotor Frequency = Slip*Frequency

Resistance given Slip at Maximum Torque

Go Resistance = Slip*Reactance

Reactance given Slip at Maximum Torque

Go Reactance = Resistance/Slip

Breakdown Slip of Induction Motor

Go Slip = Resistance/Reactance

Slip given Efficiency in Induction Motor

Go Slip = 1-Efficiency

Pitch Factor in Induction Motor Formula

Pitch Factor = cos(Short Pitched Angle/2)
K_p = cos(θ/2)

What is pitch factor for 3rd harmonic?

A third harmonic component of flux density wave may be assumed to be produced by 3 poles as compared to the one pole for fundamental component. In view of this, the angular slot pitch for third harmonic will be 3γ and hence nγ for nth harmonics.

How to Calculate Pitch Factor in Induction Motor?

Pitch Factor in Induction Motor calculator uses Pitch Factor = cos(Short Pitched Angle/2) to calculate the Pitch Factor, Pitch Factor in Induction Motor is defined as the ratio of emf generated in short pitch coil to the emf generated in full pitch coil. Pitch Factor is denoted by K_p symbol.

How to calculate Pitch Factor in Induction Motor using this online calculator? To use this online calculator for Pitch Factor in Induction Motor, enter Short Pitched Angle (θ) and hit the calculate button. Here is how the Pitch Factor in Induction Motor calculation can be explained with given input values -> 0.707107 = cos(1.5707963267946/2).

FAQ

What is Pitch Factor in Induction Motor?

Pitch Factor in Induction Motor is defined as the ratio of emf generated in short pitch coil to the emf generated in full pitch coil and is represented as K_p = cos(θ/2) or Pitch Factor = cos(Short Pitched Angle/2). Short Pitched Anglel, the coil span will be (180 - θ)° electrical (θ = angle by which coils are short-pitched and always less than pole pitch).

How to calculate Pitch Factor in Induction Motor?

Pitch Factor in Induction Motor is defined as the ratio of emf generated in short pitch coil to the emf generated in full pitch coil is calculated using Pitch Factor = cos(Short Pitched Angle/2). To calculate Pitch Factor in Induction Motor, you need Short Pitched Angle (θ). With our tool, you need to enter the respective value for Short Pitched Angle 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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