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Input Power of Synchronous Motor Formula

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Input Power is defined as the total power supplied to the electrical motor from the source which is connected to it. Check FAQs

P in = I a \cdot V \cdot \cos (Φ s)

P_in - Input Power?I_a - Armature Current?V - Voltage?Φ_s - Phase Difference?

Input Power of Synchronous Motor Example

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Here is how the Input Power of Synchronous Motor equation looks like with Values.

Here is how the Input Power of Synchronous Motor equation looks like with Units.

Here is how the Input Power of Synchronous Motor equation looks like.

769.0306 = 3.7 \cdot 240 \cdot \cos (30)

769.0306W = 3.7A \cdot 240V \cdot \cos (30°)

769.0306 = 3.7 \cdot 240 \cdot \cos (30)

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Input Power of Synchronous Motor Solution

Follow our step by step solution on how to calculate Input Power of Synchronous Motor?

FIRST Step Consider the formula

P in = I a \cdot V \cdot \cos (Φ s)

Next Step Substitute values of Variables

∴

P in = 3.7A \cdot 240V \cdot \cos (30°)

Next Step Convert Units

∴

P in = 3.7A \cdot 240V \cdot \cos (0.5236rad)

Next Step Prepare to Evaluate

∴

P in = 3.7 \cdot 240 \cdot \cos (0.5236)

Next Step Evaluate

∴

P in = 769.030558560581W

LAST Step Rounding Answer

∴

P in = 769.0306W

Input Power of Synchronous Motor Formula Elements

Variables

Functions

Input Power

Input Power is defined as the total power supplied to the electrical motor from the source which is connected to it.

Symbol: P_in

Measurement: PowerUnit: W

Note: Value can be positive or negative.

Formulas to find Input Power

Armature Current

Armature Current Motor is defined as the armature current developed in an synchronous motor due to the rotation of rotor.

Symbol: I_a

Measurement: Electric CurrentUnit: A

Note: Value can be positive or negative.

Formulas to find Armature Current

Voltage

Voltage, electric pressure or electric tension is the difference in electric potential between two points in electrical machines.

Symbol: V

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Voltage

Phase Difference

Phase Difference in Synchronous Motor is defined as the difference in the phase angle of Voltage and Armature current of a synchronous motor.

Symbol: Φ_s

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Phase Difference

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

Other formulas in Power category

Go Armature Current of Synchronous Motor given 3 Phase Mechanical Power

I a = \sqrt{\frac{P in(3Φ) - P me(3Φ)}{3 \cdot R a}}

Go Armature Current of Synchronous Motor given Input Power

I a = \frac{P in}{\cos (Φ s) \cdot V}

Go Armature Current of Synchronous Motor given Mechanical Power

I a = \sqrt{\frac{P in - P m}{R a}}

Go Load Current of Synchronous Motor given 3 Phase Mechanical Power

I L = \frac{P me(3Φ) + 3 \cdot {I a}^{2} \cdot R a}{\sqrt{3} \cdot V L \cdot \cos (Φ s)}

How to Evaluate Input Power of Synchronous Motor?

Input Power of Synchronous Motor evaluator uses Input Power = Armature Current*Voltage*cos(Phase Difference) to evaluate the Input Power, The Input Power of Synchronous Motor formula is defined as the power of the synchronous motor at the input side. Input Power is denoted by P_in symbol.

How to evaluate Input Power of Synchronous Motor using this online evaluator? To use this online evaluator for Input Power of Synchronous Motor, enter Armature Current (I_a), Voltage (V) & Phase Difference (Φ_s) and hit the calculate button.

FAQs on Input Power of Synchronous Motor

What is the formula to find Input Power of Synchronous Motor?

The formula of Input Power of Synchronous Motor is expressed as Input Power = Armature Current*Voltage*cos(Phase Difference). Here is an example- 769.0306 = 3.7*240*cos(0.5235987755982).

How to calculate Input Power of Synchronous Motor?

With Armature Current (I_a), Voltage (V) & Phase Difference (Φ_s) we can find Input Power of Synchronous Motor using the formula - Input Power = Armature Current*Voltage*cos(Phase Difference). This formula also uses Cosine (cos) function(s).

Can the Input Power of Synchronous Motor be negative?

Yes, the Input Power of Synchronous Motor, measured in Power can be negative.

Which unit is used to measure Input Power of Synchronous Motor?

Input Power of Synchronous Motor is usually measured using the Watt[W] for Power. Kilowatt[W], Milliwatt[W], Microwatt[W] are the few other units in which Input Power of Synchronous Motor can be measured.

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