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Output Power of Synchronous Machine Formula

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The output power of a synchronous machine refers to the electrical power that it can deliver or generate. It is the power that is transferred from the machine to an external load or system. Check FAQs

P o = C o(ac) \cdot 1000 \cdot {D a}^{2} \cdot L a \cdot N s

P_o - Output Power?C_o(ac) - Output Coefficient AC?D_a - Armature Diameter?L_a - Armature Core Length?N_s - Synchronous Speed?

Output Power of Synchronous Machine Example

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Here is how the Output Power of Synchronous Machine equation looks like with Values.

Here is how the Output Power of Synchronous Machine equation looks like with Units.

Here is how the Output Power of Synchronous Machine equation looks like.

600.8296 = 0.85 \cdot 1000 \cdot {0.5}^{2} \cdot 0.3 \cdot 1500

600.8296kW = 0.85 \cdot 1000 \cdot {0.5m}^{2} \cdot 0.3m \cdot 1500rev/s

600.8296 = 0.85 \cdot 1000 \cdot {0.5}^{2} \cdot 0.3 \cdot 1500

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Output Power of Synchronous Machine Solution

Follow our step by step solution on how to calculate Output Power of Synchronous Machine?

FIRST Step Consider the formula

P o = C o(ac) \cdot 1000 \cdot {D a}^{2} \cdot L a \cdot N s

Next Step Substitute values of Variables

∴

P o = 0.85 \cdot 1000 \cdot {0.5m}^{2} \cdot 0.3m \cdot 1500rev/s

Next Step Convert Units

∴

P o = 0.85 \cdot 1000 \cdot {0.5m}^{2} \cdot 0.3m \cdot 9424.778rad/s

Next Step Prepare to Evaluate

∴

P o = 0.85 \cdot 1000 \cdot {0.5}^{2} \cdot 0.3 \cdot 9424.778

Next Step Evaluate

∴

P o = 600829.594968452W

Next Step Convert to Output's Unit

∴

P o = 600.829594968452kW

LAST Step Rounding Answer

∴

P o = 600.8296kW

Output Power of Synchronous Machine Formula Elements

Variables

Output Power

The output power of a synchronous machine refers to the electrical power that it can deliver or generate. It is the power that is transferred from the machine to an external load or system.

Symbol: P_o

Measurement: PowerUnit: kW

Note: Value should be greater than 0.

Formulas to find Output Power

Output Coefficient AC

Output coefficient AC is, Substitution of equations of electric loading and magnetic loadings in the power equation, we have, where C0 is called the output coefficient.(11 Bav q Kw η cos Φ x 10-3).

Symbol: C_o(ac)

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Output Coefficient AC

Armature Diameter

Armature diameter refers to the diameter of the armature core, which is a component found in certain types of electric machines, such as motors and generators.

Symbol: D_a

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Armature Diameter

Armature Core Length

Armature core length refers to the axial length of the armature core, which is the part of the machine that houses the armature winding.

Symbol: L_a

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Armature Core Length

Synchronous Speed

Synchronous speed (rps) is a significant parameter for the rotating magnetic field-type AC motor. It is determined by the frequency and the number of magnetic poles.

Symbol: N_s

Measurement: Angular VelocityUnit: rev/s

Note: Value should be greater than 0.

Formulas to find Synchronous Speed

Other formulas in Electrical Parameters category

Go Specific Electric Loading

q av = \frac{I a \cdot Z}{π \cdot n || \cdot D a}

Go Specific Electric Loading using Output Coefficient AC

q av = \frac{C o(ac) \cdot 1000}{11 \cdot B av \cdot K w}

Go Winding Factor using Output Coefficient AC

K w = \frac{C o(ac) \cdot 1000}{11 \cdot B av \cdot q av}

Go Output Coefficient using Output Equation

C o(ac) = \frac{P o}{L a \cdot {D a}^{2} \cdot N s \cdot 1000}

How to Evaluate Output Power of Synchronous Machine?

Output Power of Synchronous Machine evaluator uses Output Power = Output Coefficient AC*1000*Armature Diameter^2*Armature Core Length*Synchronous Speed to evaluate the Output Power, The Output Power of synchronous machine refers to the electrical power that it can deliver or generate. It is the power that is transferred from the machine to an external load or system. The output power of a synchronous machine is typically expressed in watts (W) or kilowatts (kW) and is an important parameter in determining the capacity and performance of the machine in various applications. Output Power is denoted by P_o symbol.

How to evaluate Output Power of Synchronous Machine using this online evaluator? To use this online evaluator for Output Power of Synchronous Machine, enter Output Coefficient AC (C_o(ac)), Armature Diameter (D_a), Armature Core Length (L_a) & Synchronous Speed (N_s) and hit the calculate button.

FAQs on Output Power of Synchronous Machine

What is the formula to find Output Power of Synchronous Machine?

The formula of Output Power of Synchronous Machine is expressed as Output Power = Output Coefficient AC*1000*Armature Diameter^2*Armature Core Length*Synchronous Speed. Here is an example- 0.60083 = 0.85*1000*0.5^2*0.3*9424.77796028944.

How to calculate Output Power of Synchronous Machine?

With Output Coefficient AC (C_o(ac)), Armature Diameter (D_a), Armature Core Length (L_a) & Synchronous Speed (N_s) we can find Output Power of Synchronous Machine using the formula - Output Power = Output Coefficient AC*1000*Armature Diameter^2*Armature Core Length*Synchronous Speed.

Can the Output Power of Synchronous Machine be negative?

No, the Output Power of Synchronous Machine, measured in Power cannot be negative.

Which unit is used to measure Output Power of Synchronous Machine?

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

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Output Power of Synchronous Machine Formula

Output Power of Synchronous Machine Example

Output Power of Synchronous Machine Solution

Output Power of Synchronous Machine Formula Elements

Other formulas in Electrical Parameters category

How to Evaluate Output Power of Synchronous Machine?

FAQs on Output Power of Synchronous Machine

Variable Name