Output Power of Synchronous Machine Calculator

✖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).ⓘ Output Coefficient AC [C_o(ac)]			+10% -10%
✖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 Diameter [D_a]			+10% -10%
✖Armature core length refers to the axial length of the armature core, which is the part of the machine that houses the armature winding.ⓘ Armature Core Length [L_a]			+10% -10%
✖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.ⓘ Synchronous Speed [N_s]			+10% -10%

✖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 Power of Synchronous Machine [P_o]

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Formula

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Output Power of Synchronous Machine

Formula

`"P"_{"o"} = "C"_{"o(ac)"}*1000*"D"_{"a"}^2*"L"_{"a"}*"N"_{"s"}`

Example

`"600.8296kW"="0.85"*1000*("0.5m")^2*"0.3m"*"1500rev/s"`

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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
P_o = C_o(ac)*1000*D_a^2*L_a*N_s
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

P_o = C_o(ac)*1000*D_a^2*L_a*N_s --> 0.85*1000*0.5^2*0.3*9424.77796028944

Evaluating ... ...

P_o = 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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< 13 Electrical Parameters Calculators

Specific Electric Loading

Go Specific Electric Loading = (Armature Current*Number of Conductors)/(pi*Number of Parallel Paths*Armature Diameter)

Output Coefficient using Output Equation

Go Output Coefficient AC = Output Power/(Armature Core Length*Armature Diameter^2*Synchronous Speed*1000)

Synchronous Speed using Output Equation

Go Synchronous Speed = Output Power/(Output Coefficient AC*1000*Armature Diameter^2*Armature Core Length)

Output Power of Synchronous Machine

Go Output Power = Output Coefficient AC*1000*Armature Diameter^2*Armature Core Length*Synchronous Speed

Field Resistance

Go Field Resistance = (Turns per Coil*Resistivity*Length of Mean Turn)/Area of Field Conductor

Specific Electric Loading using Output Coefficient AC

Go Specific Electric Loading = (Output Coefficient AC*1000)/(11*Specific Magnetic Loading*Winding Factor)

Winding Factor using Output Coefficient AC

Go Winding Factor = (Output Coefficient AC*1000)/(11*Specific Magnetic Loading*Specific Electric Loading)

Current per Phase

Go Current per Phase = (Apparent Power*1000)/(Induced Emf per Phase*3)

Current in Conductor

Go Current in Conductor = Current per Phase/Number of Parallel Paths

Field Coil Voltage

Go Field Coil Voltage = Field Current*Field Resistance

Field Current

Go Field Current = Field Coil Voltage/Field Resistance

Apparent Power

Go Apparent Power = Rated Real Power/Power Factor

Short Circuit Ratio

Go Short Circuit Ratio = 1/Synchronous Reactance

Output Power of Synchronous Machine Formula

Output Power = Output Coefficient AC*1000*Armature Diameter^2*Armature Core Length*Synchronous Speed
P_o = C_o(ac)*1000*D_a^2*L_a*N_s

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 P_o 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 (C_o(ac)), Armature Diameter (D_a), Armature Core Length (L_a) & Synchronous Speed (N_s) 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 P_o = C_o(ac)*1000*D_a^2*L_a*N_s 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 (C_o(ac)), Armature Diameter (D_a), Armature Core Length (L_a) & Synchronous Speed (N_s). 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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