Voltage Equation of Synchronous Motor Calculator

✖Back EMF is a voltage that is generated in a motor or generator due to the motion of the armature or rotor. It is called "back" EMF as its polarity opposes the voltage applied.ⓘ Back EMF [E_b]			+10% -10%
✖Armature Current Motor is defined as the armature current developed in an synchronous motor due to the rotation of rotor.ⓘ Armature Current [I_a]			+10% -10%
✖The synchronous impedance (Z_S ) is an imaginary impedance employed to account for the voltage effects in the armature circuit of the alternator.ⓘ Synchronous Impedance [Z_S]			+10% -10%

✖Voltage, electric pressure or electric tension is the difference in electric potential between two points in electrical machines.ⓘ Voltage Equation of Synchronous Motor [V]

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Formula

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Voltage Equation of Synchronous Motor

Formula

`"V" = "E"_{"b"}+"I"_{"a"}*"Z"_{"S"}`

Example

`"245.675V"="180V"+"3.70A"*"17.75Ω"`

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Voltage Equation of Synchronous Motor Solution

STEP 0: Pre-Calculation Summary

Formula Used

Voltage = Back EMF+Armature Current*Synchronous Impedance
V = E_b+I_a*Z_S
This formula uses 4 Variables

Variables Used

Voltage - (Measured in Volt) - Voltage, electric pressure or electric tension is the difference in electric potential between two points in electrical machines.
Back EMF - (Measured in Volt) - Back EMF is a voltage that is generated in a motor or generator due to the motion of the armature or rotor. It is called "back" EMF as its polarity opposes the voltage applied.
Armature Current - (Measured in Ampere) - Armature Current Motor is defined as the armature current developed in an synchronous motor due to the rotation of rotor.
Synchronous Impedance - (Measured in Ohm) - The synchronous impedance (Z_S ) is an imaginary impedance employed to account for the voltage effects in the armature circuit of the alternator.

STEP 1: Convert Input(s) to Base Unit

Back EMF: 180 Volt --> 180 Volt No Conversion Required
Armature Current: 3.7 Ampere --> 3.7 Ampere No Conversion Required
Synchronous Impedance: 17.75 Ohm --> 17.75 Ohm No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = E_b+I_a*Z_S --> 180+3.7*17.75

Evaluating ... ...

V = 245.675

STEP 3: Convert Result to Output's Unit

245.675 Volt --> No Conversion Required

FINAL ANSWER

245.675 Volt <-- Voltage

(Calculation completed in 00.011 seconds)

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Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< 6 Voltage & EMF Calculators

Load Voltage of Synchronous Motor given 3 Phase Mechanical Power

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

Load Voltage of Synchronous Motor using 3 Phase Input Power

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

Back EMF of Synchronous Motor using Mechanical Power

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

Voltage of Synchronous Motor given Input Power

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

Back EMF of Synchronous Motor given Armature Winding Constant

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

Voltage Equation of Synchronous Motor

Go Voltage = Back EMF+Armature Current*Synchronous Impedance

Voltage Equation of Synchronous Motor Formula

Voltage = Back EMF+Armature Current*Synchronous Impedance
V = E_b+I_a*Z_S

Is synchronous motor a fixed speed motor?

This is where the term synchronous motor comes from, as the speed of the rotor of the motor is the same as the rotating magnetic field. It is a fixed speed motor because it has only one speed, which is synchronous speed.

How to Calculate Voltage Equation of Synchronous Motor?

Voltage Equation of Synchronous Motor calculator uses Voltage = Back EMF+Armature Current*Synchronous Impedance to calculate the Voltage, Voltage Equation of Synchronous Motor is similar to that of a transformer, with the back EMF playing the role of the induced voltage in the transformer. Voltage is denoted by V symbol.

How to calculate Voltage Equation of Synchronous Motor using this online calculator? To use this online calculator for Voltage Equation of Synchronous Motor, enter Back EMF (E_b), Armature Current (I_a) & Synchronous Impedance (Z_S) and hit the calculate button. Here is how the Voltage Equation of Synchronous Motor calculation can be explained with given input values -> 245.675 = 180+3.7*17.75.

FAQ

What is Voltage Equation of Synchronous Motor?

Voltage Equation of Synchronous Motor is similar to that of a transformer, with the back EMF playing the role of the induced voltage in the transformer and is represented as V = E_b+I_a*Z_S or Voltage = Back EMF+Armature Current*Synchronous Impedance. Back EMF is a voltage that is generated in a motor or generator due to the motion of the armature or rotor. It is called "back" EMF as its polarity opposes the voltage applied, Armature Current Motor is defined as the armature current developed in an synchronous motor due to the rotation of rotor & The synchronous impedance (Z_S ) is an imaginary impedance employed to account for the voltage effects in the armature circuit of the alternator.

How to calculate Voltage Equation of Synchronous Motor?

Voltage Equation of Synchronous Motor is similar to that of a transformer, with the back EMF playing the role of the induced voltage in the transformer is calculated using Voltage = Back EMF+Armature Current*Synchronous Impedance. To calculate Voltage Equation of Synchronous Motor, you need Back EMF (E_b), Armature Current (I_a) & Synchronous Impedance (Z_S). With our tool, you need to enter the respective value for Back EMF, Armature Current & Synchronous Impedance 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 Voltage?

In this formula, Voltage uses Back EMF, Armature Current & Synchronous Impedance. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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