Design Constant of DC Machine Solution

STEP 0: Pre-Calculation Summary
Formula Used
Machine Constant = (Number of Conductors*Number of Poles)/(2*pi*Number of Parallel Paths)
Kf = (Z*P)/(2*pi*nll)
This formula uses 1 Constants, 4 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Machine Constant - Machine Constant refers to the parameter which usually has a constant value for a particular type of dc machine.
Number of Conductors - Number of Conductors in the armature winding is made up of a large number of individual conductors, which are arranged in a specific pattern to produce the desired electrical output.
Number of Poles - Number of Poles refers to the total count of poles in an electrical machine for the flux generation.
Number of Parallel Paths - Number of parallel paths in dc machine basically the conductors and coils are placed in their slots and connected to the commutator using either the lap winding method or the wave winding method.
STEP 1: Convert Input(s) to Base Unit
Number of Conductors: 12 --> No Conversion Required
Number of Poles: 9 --> No Conversion Required
Number of Parallel Paths: 6 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Kf = (Z*P)/(2*pi*nll) --> (12*9)/(2*pi*6)
Evaluating ... ...
Kf = 2.86478897565412
STEP 3: Convert Result to Output's Unit
2.86478897565412 --> No Conversion Required
FINAL ANSWER
2.86478897565412 2.864789 <-- Machine Constant
(Calculation completed in 00.004 seconds)

Credits

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Vishwakarma Government Engineering College (VGEC), Ahmedabad
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16 DC Machine Characterstics Calculators

Mechanical Efficiency given Induced Voltage and Armature Current
Go Mechanical Efficiency = (Electrical Efficiency*Output Voltage*Armature Current)/(Angular Speed*Torque)
Electrical Efficiency of DC Machine
Go Electrical Efficiency = (Mechanical Efficiency*Angular Speed*Torque)/(Output Voltage*Armature Current)
Design Constant of DC Machine
Go Machine Constant = (Number of Conductors*Number of Poles)/(2*pi*Number of Parallel Paths)
Angular Speed of DC Machine using Kf
Go Angular Speed = Armature Voltage/(Machine Constant*Magnetic Flux*Armature Current)
Armature Induced Voltage of DC Machine given Kf
Go Armature Voltage = Machine Constant*Armature Current*Magnetic Flux*Angular Speed
Back EMF of DC Generator
Go Back EMF = Output Voltage-(Armature Current*Armature Resistance)
Magnetic Flux of DC Machine given Torque
Go Magnetic Flux = Torque/(Machine Constant*Armature Current)
EMF Generated in DC Machine with Lap Winding
Go EMF = (Rotor Speed*Number of Conductors*Flux per Pole)/60
Torque generated in DC Machine
Go Torque = Machine Constant*Magnetic Flux*Armature Current
Coil Span of DC Motor
Go Coil Span Factor = Number of Commutator Segments/Number of Poles
Front Pitch for DC Machine
Go Front Pitch = ((2*Number of Slots)/Number of Poles)-1
Back Pitch for DC Machine
Go Back Pitch = ((2*Number of Slots)/Number of Poles)+1
Input Power of DC Motor
Go Input Power = Supply Voltage*Armature Current
Pole Pitch in DC Generator
Go Pole Pitch = Number of Slots/Number of Poles
Back Pitch for DC Machine given Coil Span
Go Back Pitch = Coil Span*Coil Span Factor
Output Power of DC Machine
Go Output Power = Angular Speed*Torque

Design Constant of DC Machine Formula

Machine Constant = (Number of Conductors*Number of Poles)/(2*pi*Number of Parallel Paths)
Kf = (Z*P)/(2*pi*nll)

What is a DC machine?

A DC machine is an electromechanical energy alteration device. The working principle of a DC machine is when electric current flows through a coil within a magnetic field, and then the magnetic force generates a torque that rotates the dc motor.

How to Calculate Design Constant of DC Machine?

Design Constant of DC Machine calculator uses Machine Constant = (Number of Conductors*Number of Poles)/(2*pi*Number of Parallel Paths) to calculate the Machine Constant, The Design Constant of DC Machine are values or factors used in the design of machine components and systems to ensure their safe and efficient operation. These constants are based on scientific and engineering principles and are typically established through empirical testing and analysis. Machine Constant is denoted by Kf symbol.

How to calculate Design Constant of DC Machine using this online calculator? To use this online calculator for Design Constant of DC Machine, enter Number of Conductors (Z), Number of Poles (P) & Number of Parallel Paths (nll) and hit the calculate button. Here is how the Design Constant of DC Machine calculation can be explained with given input values -> 2.864789 = (12*9)/(2*pi*6).

FAQ

What is Design Constant of DC Machine?
The Design Constant of DC Machine are values or factors used in the design of machine components and systems to ensure their safe and efficient operation. These constants are based on scientific and engineering principles and are typically established through empirical testing and analysis and is represented as Kf = (Z*P)/(2*pi*nll) or Machine Constant = (Number of Conductors*Number of Poles)/(2*pi*Number of Parallel Paths). Number of Conductors in the armature winding is made up of a large number of individual conductors, which are arranged in a specific pattern to produce the desired electrical output, Number of Poles refers to the total count of poles in an electrical machine for the flux generation & Number of parallel paths in dc machine basically the conductors and coils are placed in their slots and connected to the commutator using either the lap winding method or the wave winding method.
How to calculate Design Constant of DC Machine?
The Design Constant of DC Machine are values or factors used in the design of machine components and systems to ensure their safe and efficient operation. These constants are based on scientific and engineering principles and are typically established through empirical testing and analysis is calculated using Machine Constant = (Number of Conductors*Number of Poles)/(2*pi*Number of Parallel Paths). To calculate Design Constant of DC Machine, you need Number of Conductors (Z), Number of Poles (P) & Number of Parallel Paths (nll). With our tool, you need to enter the respective value for Number of Conductors, Number of Poles & Number of Parallel Paths 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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