Angular Slot Pitch in Synchronous Motor Calculator

✖Number of Poles is defined as the total number of poles present in any electrical machine.ⓘ Number of Poles [P]			+10% -10%
✖The number of slots per pole per phase determines how the winding layout is arranged. It is also disclosing information about the winding factor and its harmonics.ⓘ Number of Slots [n_s]			+10% -10%

✖Angular Slot Pitch is angle between two consecutive slots in the rotor of a Synchronous Motor.ⓘ Angular Slot Pitch in Synchronous Motor [Y]

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Formula

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Angular Slot Pitch in Synchronous Motor

Formula

`"Y" = ("P"*180)/("n"_{"s"}*2)`

Example

`"162.8406°"=("3"*180)/("95"*2)`

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Angular Slot Pitch in Synchronous Motor Solution

STEP 0: Pre-Calculation Summary

Formula Used

Angular Slot Pitch = (Number of Poles*180)/(Number of Slots*2)
Y = (P*180)/(n_s*2)
This formula uses 3 Variables

Variables Used

Angular Slot Pitch - (Measured in Radian) - Angular Slot Pitch is angle between two consecutive slots in the rotor of a Synchronous Motor.
Number of Poles - Number of Poles is defined as the total number of poles present in any electrical machine.
Number of Slots - The number of slots per pole per phase determines how the winding layout is arranged. It is also disclosing information about the winding factor and its harmonics.

STEP 1: Convert Input(s) to Base Unit

Number of Poles: 3 --> No Conversion Required
Number of Slots: 95 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Y = (P*180)/(n_s*2) --> (3*180)/(95*2)

Evaluating ... ...

Y = 2.84210526315789

STEP 3: Convert Result to Output's Unit

2.84210526315789 Radian -->162.840636510896 Degree (Check conversion here)

FINAL ANSWER

162.840636510896 ≈ 162.8406 Degree <-- Angular Slot Pitch

(Calculation completed in 00.004 seconds)

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Home » Engineering » Electrical » Machine » AC Machines » Synchronous Motor » Mechanical Specification » Angular Slot Pitch in Synchronous Motor

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Created by Aman Dhussawat

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

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Verified by Parminder Singh

Chandigarh University (CU), Punjab

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< 5 Mechanical Specification Calculators

Distribution Factor in Synchronous Motor

Go Distribution Factor = (sin((Number of Slots*Angular Slot Pitch)/2))/(Number of Slots*sin(Angular Slot Pitch/2))

Magnetic Flux of Synchronous Motor given Back EMF

Go Magnetic Flux = Back EMF/(Armature Winding Constant*Synchronous Speed)

Armature Winding Constant of Synchronous Motor

Go Armature Winding Constant = Back EMF/(Magnetic Flux*Synchronous Speed)

Angular Slot Pitch in Synchronous Motor

Go Angular Slot Pitch = (Number of Poles*180)/(Number of Slots*2)

Number of Poles given Synchronous Speed in Synchronous Motor

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

< 25 Synchronous Motor Circuit Calculators

Load Current of Synchronous Motor given 3 Phase Mechanical Power

Go Load Current = (Three Phase Mechanical Power+3*Armature Current^2*Armature Resistance)/(sqrt(3)*Load Voltage*cos(Phase Difference))

Power Factor of Synchronous Motor given 3 Phase Mechanical Power

Go Power Factor = (Three Phase Mechanical Power+3*Armature Current^2*Armature Resistance)/(sqrt(3)*Load Voltage*Load Current)

Distribution Factor in Synchronous Motor

Go Distribution Factor = (sin((Number of Slots*Angular Slot Pitch)/2))/(Number of Slots*sin(Angular Slot Pitch/2))

Load Current of Synchronous Motor using 3 Phase Input Power

Go Load Current = Three Phase Input Power/(sqrt(3)*Load Voltage*cos(Phase Difference))

3 Phase Input Power of Synchronous Motor

Go Three Phase Input Power = sqrt(3)*Load Voltage*Load Current*cos(Phase Difference)

Mechanical Power of Synchronous Motor

Go Mechanical Power = Back EMF*Armature Current*cos(Load Angle-Phase Difference)

Armature Current of Synchronous Motor given 3 Phase Mechanical Power

Go Armature Current = sqrt((Three Phase Input Power-Three Phase Mechanical Power)/(3*Armature Resistance))

Armature Current of Synchronous Motor given Mechanical Power

Go Armature Current = sqrt((Input Power-Mechanical Power)/Armature Resistance)

Power Factor of Synchronous Motor using 3 Phase Input Power

Go Power Factor = Three Phase Input Power/(sqrt(3)*Load Voltage*Load Current)

Armature Resistance of Synchronous Motor given 3 Phase Mechanical Power

Go Armature Resistance = (Three Phase Input Power-Three Phase Mechanical Power)/(3*Armature Current^2)

3 Phase Mechanical Power of Synchronous Motor

Go Three Phase Mechanical Power = Three Phase Input Power-3*Armature Current^2*Armature Resistance

Phase Angle between Voltage and Armature Current given Input Power

Go Phase Difference = acos(Input Power/(Voltage*Armature Current))

Armature Current of Synchronous Motor given Input Power

Go Armature Current = Input Power/(cos(Phase Difference)*Voltage)

Input Power of Synchronous Motor

Go Input Power = Armature Current*Voltage*cos(Phase Difference)

Armature Resistance of Synchronous Motor given Input Power

Go Armature Resistance = (Input Power-Mechanical Power)/(Armature Current^2)

Magnetic Flux of Synchronous Motor given Back EMF

Go Magnetic Flux = Back EMF/(Armature Winding Constant*Synchronous Speed)

Armature Winding Constant of Synchronous Motor

Go Armature Winding Constant = Back EMF/(Magnetic Flux*Synchronous Speed)

Mechanical Power of Synchronous Motor given Input Power

Go Mechanical Power = Input Power-Armature Current^2*Armature Resistance

Power Factor of Synchronous Motor given Input Power

Go Power Factor = Input Power/(Voltage*Armature Current)

Angular Slot Pitch in Synchronous Motor

Go Angular Slot Pitch = (Number of Poles*180)/(Number of Slots*2)

Output Power for Synchronous Motor

Go Output Power = Armature Current^2*Armature Resistance

Number of Poles given Synchronous Speed in Synchronous Motor

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

Synchronous Speed of Synchronous Motor

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

Synchronous Speed of Synchronous Motor given Mechanical Power

Go Synchronous Speed = Mechanical Power/Gross Torque

Mechanical Power of Synchronous Motor given Gross Torque

Go Mechanical Power = Gross Torque*Synchronous Speed

Angular Slot Pitch in Synchronous Motor Formula

Angular Slot Pitch = (Number of Poles*180)/(Number of Slots*2)
Y = (P*180)/(n_s*2)

What is angular slot pitch?

These slots are distributed along the periphery of stator in 2 pole pitches. Therefore the angle between any two consecutive slots will be equal to 20 degree (2×180 / 18 = 20). This angle between two consecutive slots is called Angular Slot Pitch. It is in electrical degree not in mechanical degree

How to Calculate Angular Slot Pitch in Synchronous Motor?

Angular Slot Pitch in Synchronous Motor calculator uses Angular Slot Pitch = (Number of Poles*180)/(Number of Slots*2) to calculate the Angular Slot Pitch, The Angular Slot Pitch in Synchronous Motor formula is defined as the angle between two consecutive slots is called Angular Slot Pitch. Angular Slot Pitch is denoted by Y symbol.

How to calculate Angular Slot Pitch in Synchronous Motor using this online calculator? To use this online calculator for Angular Slot Pitch in Synchronous Motor, enter Number of Poles (P) & Number of Slots (n_s) and hit the calculate button. Here is how the Angular Slot Pitch in Synchronous Motor calculation can be explained with given input values -> 9330.081 = (3*180)/(95*2).

FAQ

What is Angular Slot Pitch in Synchronous Motor?

The Angular Slot Pitch in Synchronous Motor formula is defined as the angle between two consecutive slots is called Angular Slot Pitch and is represented as Y = (P*180)/(n_s*2) or Angular Slot Pitch = (Number of Poles*180)/(Number of Slots*2). Number of Poles is defined as the total number of poles present in any electrical machine & The number of slots per pole per phase determines how the winding layout is arranged. It is also disclosing information about the winding factor and its harmonics.

How to calculate Angular Slot Pitch in Synchronous Motor?

The Angular Slot Pitch in Synchronous Motor formula is defined as the angle between two consecutive slots is called Angular Slot Pitch is calculated using Angular Slot Pitch = (Number of Poles*180)/(Number of Slots*2). To calculate Angular Slot Pitch in Synchronous Motor, you need Number of Poles (P) & Number of Slots (n_s). With our tool, you need to enter the respective value for Number of Poles & Number of Slots 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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