## Output Coefficient using Output Equation Solution

STEP 0: Pre-Calculation Summary
Formula Used
Output Coefficient AC = Output Power/(Armature Core Length*Armature Diameter^2*Synchronous Speed*1000)
Co(ac) = Po/(La*Da^2*Ns*1000)
This formula uses 5 Variables
Variables Used
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).
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.
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.
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.
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 Power: 600 Kilowatt --> 600000 Watt (Check conversion ​here)
Armature Core Length: 0.3 Meter --> 0.3 Meter No Conversion Required
Armature Diameter: 0.5 Meter --> 0.5 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
Co(ac) = Po/(La*Da^2*Ns*1000) --> 600000/(0.3*0.5^2*9424.77796028944*1000)
Evaluating ... ...
Co(ac) = 0.8488263632
STEP 3: Convert Result to Output's Unit
0.8488263632 --> No Conversion Required
0.8488263632 0.848826 <-- Output Coefficient AC
(Calculation completed in 00.004 seconds)
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## < 13 Electrical Parameters Calculators

Specific Electric Loading = (Armature Current*Number of Conductors)/(pi*Number of Parallel Paths*Armature Diameter)
Output Coefficient using Output Equation
Output Coefficient AC = Output Power/(Armature Core Length*Armature Diameter^2*Synchronous Speed*1000)
Synchronous Speed using Output Equation
Synchronous Speed = Output Power/(Output Coefficient AC*1000*Armature Diameter^2*Armature Core Length)
Output Power of Synchronous Machine
Output Power = Output Coefficient AC*1000*Armature Diameter^2*Armature Core Length*Synchronous Speed
Field Resistance
Field Resistance = (Turns per Coil*Resistivity*Length of Mean Turn)/Area of Field Conductor
Winding Factor using Output Coefficient AC
Current per Phase
Current per Phase = (Apparent Power*1000)/(Induced Emf per Phase*3)
Current in Conductor
Current in Conductor = Current per Phase/Number of Parallel Paths
Field Coil Voltage
Field Coil Voltage = Field Current*Field Resistance
Field Current
Field Current = Field Coil Voltage/Field Resistance
Apparent Power
Apparent Power = Rated Real Power/Power Factor
Short Circuit Ratio
Short Circuit Ratio = 1/Synchronous Reactance

## Output Coefficient using Output Equation Formula

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

## What is output equation?

Output equations assign the result of a measurement to a variable, which you can use in other equations just like other variables. A project can include multiple Output Equations documents, each of which can contain multiple output equations and standard equations.

## What is the formula of the output coefficient in synchronous machines?

SYNCHRONOUS MACHINES Output Equation Q = m Eph Iph 10-3 = 11 Bave ac Kw x 10-3 D2L ns = Co D2L ns Where Co = output coefficient (see Unit -4 for derivation).

## How to Calculate Output Coefficient using Output Equation?

Output Coefficient using Output Equation calculator uses Output Coefficient AC = Output Power/(Armature Core Length*Armature Diameter^2*Synchronous Speed*1000) to calculate the Output Coefficient AC, The Output coefficient using output equation formula is product of specific magnetic loading and specific electrical loading,its value depends on selection of these loadings. Output Coefficient AC is denoted by Co(ac) symbol.

How to calculate Output Coefficient using Output Equation using this online calculator? To use this online calculator for Output Coefficient using Output Equation, enter Output Power (Po), Armature Core Length (La), Armature Diameter (Da) & Synchronous Speed (Ns) and hit the calculate button. Here is how the Output Coefficient using Output Equation calculation can be explained with given input values -> 0.848826 = 600000/(0.3*0.5^2*9424.77796028944*1000).

### FAQ

What is Output Coefficient using Output Equation?
The Output coefficient using output equation formula is product of specific magnetic loading and specific electrical loading,its value depends on selection of these loadings and is represented as Co(ac) = Po/(La*Da^2*Ns*1000) or Output Coefficient AC = Output Power/(Armature Core Length*Armature Diameter^2*Synchronous Speed*1000). 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, 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 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 & 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 Coefficient using Output Equation?
The Output coefficient using output equation formula is product of specific magnetic loading and specific electrical loading,its value depends on selection of these loadings is calculated using Output Coefficient AC = Output Power/(Armature Core Length*Armature Diameter^2*Synchronous Speed*1000). To calculate Output Coefficient using Output Equation, you need Output Power (Po), Armature Core Length (La), Armature Diameter (Da) & Synchronous Speed (Ns). With our tool, you need to enter the respective value for Output Power, Armature Core Length, Armature Diameter & 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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