Output Power of Synchronous Machine Solution

STEP 0: Pre-Calculation Summary
Formula Used
Output Power = Output Coefficient AC*1000*Armature Diameter^2*Armature Core Length*Synchronous Speed
Po = Co(ac)*1000*Da^2*La*Ns
This formula uses 5 Variables
Variables Used
Output Power - (Measured in Watt) - 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.
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).
Armature Diameter - (Measured in Meter) - 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.
Armature Core Length - (Measured in Meter) - Armature core length refers to the axial length of the armature core, which is the part of the machine that houses the armature winding.
Synchronous Speed - (Measured in Radian per Second) - 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.
STEP 1: Convert Input(s) to Base Unit
Output Coefficient AC: 0.85 --> No Conversion Required
Armature Diameter: 0.5 Meter --> 0.5 Meter No Conversion Required
Armature Core Length: 0.3 Meter --> 0.3 Meter No Conversion Required
Synchronous Speed: 1500 Revolution per Second --> 9424.77796028944 Radian per Second (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Po = Co(ac)*1000*Da^2*La*Ns --> 0.85*1000*0.5^2*0.3*9424.77796028944
Evaluating ... ...
Po = 600829.594968452
STEP 3: Convert Result to Output's Unit
600829.594968452 Watt -->600.829594968452 Kilowatt (Check conversion ​here)
FINAL ANSWER
600.829594968452 600.8296 Kilowatt <-- Output Power
(Calculation completed in 00.004 seconds)

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Electrical Parameters Calculators

Specific Electric Loading
​ LaTeX ​ Go Specific Electric Loading = (Armature Current*Number of Conductors)/(pi*Number of Parallel Paths*Armature Diameter)
Output Power of Synchronous Machine
​ LaTeX ​ Go Output Power = Output Coefficient AC*1000*Armature Diameter^2*Armature Core Length*Synchronous Speed
Specific Electric Loading using Output Coefficient AC
​ LaTeX ​ Go Specific Electric Loading = (Output Coefficient AC*1000)/(11*Specific Magnetic Loading*Winding Factor)
Winding Factor using Output Coefficient AC
​ LaTeX ​ Go Winding Factor = (Output Coefficient AC*1000)/(11*Specific Magnetic Loading*Specific Electric Loading)

Output Power of Synchronous Machine Formula

​LaTeX ​Go
Output Power = Output Coefficient AC*1000*Armature Diameter^2*Armature Core Length*Synchronous Speed
Po = Co(ac)*1000*Da^2*La*Ns

What is output coefficient of machine?

The term (Ia Z/A) represents the total ampere-conductors on the armature and is called the electric loading. Electric loading/unit length of armature periphery is called the specific electric loading q.That is, Where C0 is called the output coefficeint.

How do you calculate the output power of a synchronous motor?

To obtain the power output we subtract the iron, friction, and excitation losses from the power developed. Therefore, net output power, Pout = Pm - iron, friction, and excitation losses. The above two stages can be shown diagrammatically called as Power Flow Diagram of a Synchronous Motor.

How to Calculate Output Power of Synchronous Machine?

Output Power of Synchronous Machine calculator uses Output Power = Output Coefficient AC*1000*Armature Diameter^2*Armature Core Length*Synchronous Speed to calculate 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 Po symbol.

How to calculate Output Power of Synchronous Machine using this online calculator? To use this online calculator for Output Power of Synchronous Machine, enter Output Coefficient AC (Co(ac)), Armature Diameter (Da), Armature Core Length (La) & Synchronous Speed (Ns) and hit the calculate button. Here is how the Output Power of Synchronous Machine calculation can be explained with given input values -> 0.60083 = 0.85*1000*0.5^2*0.3*9424.77796028944.

FAQ

What is Output Power of Synchronous Machine?
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 and is represented as Po = Co(ac)*1000*Da^2*La*Ns or Output Power = Output Coefficient AC*1000*Armature Diameter^2*Armature Core Length*Synchronous Speed. 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), 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, Armature core length refers to the axial length of the armature core, which is the part of the machine that houses the armature winding & 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.
How to calculate Output Power of Synchronous Machine?
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 is calculated using Output Power = Output Coefficient AC*1000*Armature Diameter^2*Armature Core Length*Synchronous Speed. To calculate Output Power of Synchronous Machine, you need Output Coefficient AC (Co(ac)), Armature Diameter (Da), Armature Core Length (La) & Synchronous Speed (Ns). With our tool, you need to enter the respective value for Output Coefficient AC, Armature Diameter, Armature Core Length & Synchronous Speed 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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