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Lossless Power Delivered in Synchronous Machine Formula

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Lossless Power Delivered by Synchronous Machine is the power that is converted from electrical to mechanical power without any electrical loss. Check FAQs

P l = P max \cdot \sin (δ)

P_l - Lossless Power Delivered?P_max - Maximum Power?δ - Electrical Power Angle?

Lossless Power Delivered in Synchronous Machine Example

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Here is how the Lossless Power Delivered in Synchronous Machine equation looks like with Values.

Here is how the Lossless Power Delivered in Synchronous Machine equation looks like with Units.

Here is how the Lossless Power Delivered in Synchronous Machine equation looks like.

707.1068 = 1000 \cdot \sin (45)

707.1068W = 1000W \cdot \sin (45°)

707.1068 = 1000 \cdot \sin (45)

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Lossless Power Delivered in Synchronous Machine Solution

Follow our step by step solution on how to calculate Lossless Power Delivered in Synchronous Machine?

FIRST Step Consider the formula

P l = P max \cdot \sin (δ)

Next Step Substitute values of Variables

∴

P l = 1000W \cdot \sin (45°)

Next Step Convert Units

∴

P l = 1000W \cdot \sin (0.7854rad)

Next Step Prepare to Evaluate

∴

P l = 1000 \cdot \sin (0.7854)

Next Step Evaluate

∴

P l = 707.106781186443W

LAST Step Rounding Answer

∴

P l = 707.1068W

Lossless Power Delivered in Synchronous Machine Formula Elements

Variables

Functions

Lossless Power Delivered

Lossless Power Delivered by Synchronous Machine is the power that is converted from electrical to mechanical power without any electrical loss.

Symbol: P_l

Measurement: PowerUnit: W

Note: Value should be greater than 0.

Formulas to find Lossless Power Delivered

Maximum Power

Maximum Power is the amount of power that is associated with the electrical power angle.

Symbol: P_max

Measurement: PowerUnit: W

Note: Value should be greater than 0.

Formulas to find Maximum Power

Electrical Power Angle

Electrical Power Angle is the angular displacement between the rotor and stator position in the magnetic field of a synchronous machine, also known as the Load Angle used in power angle curve.

Symbol: δ

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Electrical Power Angle

sin

Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.

Syntax: sin(Angle)

Other formulas in Power System Stability category

Go Kinetic Energy of Rotor

KE = (\frac{1}{2}) \cdot J \cdot {ω s}^{2} \cdot 10^{- 6}

Go Speed of Synchronous Machine

ω es = (\frac{P}{2}) \cdot ω r

Go Inertia Constant of Machine

M = \frac{G \cdot H}{180 \cdot fs}

Go Rotor Acceleration

P a = P i - P ep

How to Evaluate Lossless Power Delivered in Synchronous Machine?

Lossless Power Delivered in Synchronous Machine evaluator uses Lossless Power Delivered = Maximum Power*sin(Electrical Power Angle) to evaluate the Lossless Power Delivered, Lossless Power Delivered in Synchronous Machine is defined as the product of maximum power and the sine of electrical power angle. Losses in a power system can occur due to factors such as resistance in transmission lines, transformers, and other components, as well as reactive power losses. Lossless Power Delivered is denoted by P_l symbol.

How to evaluate Lossless Power Delivered in Synchronous Machine using this online evaluator? To use this online evaluator for Lossless Power Delivered in Synchronous Machine, enter Maximum Power (P_max) & Electrical Power Angle (δ) and hit the calculate button.

FAQs on Lossless Power Delivered in Synchronous Machine

What is the formula to find Lossless Power Delivered in Synchronous Machine?

The formula of Lossless Power Delivered in Synchronous Machine is expressed as Lossless Power Delivered = Maximum Power*sin(Electrical Power Angle). Here is an example- 707.1068 = 1000*sin(0.785398163397301).

How to calculate Lossless Power Delivered in Synchronous Machine?

With Maximum Power (P_max) & Electrical Power Angle (δ) we can find Lossless Power Delivered in Synchronous Machine using the formula - Lossless Power Delivered = Maximum Power*sin(Electrical Power Angle). This formula also uses Sine (sin) function(s).

Can the Lossless Power Delivered in Synchronous Machine be negative?

No, the Lossless Power Delivered in Synchronous Machine, measured in Power cannot be negative.

Which unit is used to measure Lossless Power Delivered in Synchronous Machine?

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

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Lossless Power Delivered in Synchronous Machine Formula

Lossless Power Delivered in Synchronous Machine Example

Lossless Power Delivered in Synchronous Machine Solution

Lossless Power Delivered in Synchronous Machine Formula Elements

Other formulas in Power System Stability category

How to Evaluate Lossless Power Delivered in Synchronous Machine?

FAQs on Lossless Power Delivered in Synchronous Machine

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