Armature Diameter using Output Equation Calculator

✖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 [P_o]			+10% -10%
✖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%
✖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%
✖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%

✖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 using Output Equation [D_a]

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Formula

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Armature Diameter using Output Equation

Formula

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

Example

`"0.499655m"=sqrt("600kW"/("0.85"*1000*"1500rev/s"*"0.3m"))`

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Armature Diameter using Output Equation Solution

STEP 0: Pre-Calculation Summary

Formula Used

Armature Diameter = sqrt(Output Power/(Output Coefficient AC*1000*Synchronous Speed*Armature Core Length))
D_a = sqrt(P_o/(C_o(ac)*1000*N_s*L_a))
This formula uses 1 Functions, 5 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

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.
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).
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.
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.

STEP 1: Convert Input(s) to Base Unit

Output Power: 600 Kilowatt --> 600000 Watt (Check conversion here)
Output Coefficient AC: 0.85 --> No Conversion Required
Synchronous Speed: 1500 Revolution per Second --> 9424.77796028944 Radian per Second (Check conversion here)
Armature Core Length: 0.3 Meter --> 0.3 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D_a = sqrt(P_o/(C_o(ac)*1000*N_s*L_a)) --> sqrt(600000/(0.85*1000*9424.77796028944*0.3))

Evaluating ... ...

D_a = 0.499654693469282

STEP 3: Convert Result to Output's Unit

0.499654693469282 Meter --> No Conversion Required

FINAL ANSWER

0.499654693469282 ≈ 0.499655 Meter <-- Armature Diameter

(Calculation completed in 00.004 seconds)

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< 7 Mechanical Parameters Calculators

Armature Diameter using Output Equation

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

Armature Core Length using Output Equation

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

Area of Field Conductor

Go Area of Field Conductor = (Full Load Field MMF*Resistivity*Length of Mean Turn)/Field Coil Voltage

Diameter of Damper Bar

Go Diameter of Damper Bar = sqrt((4*Area of Damper Winding)/pi)

Cross Sectional Area of Damper Winding

Go Cross-Sectional Area of Damper Winding = Area of Damper Winding/Number of Damper Bar

Number of Damper Bars

Go Number of Damper Bar = Pole Arc/(0.8*Slot Pitch)

Length of Damper Bar

Go Length of Damper Bar = 1.1*Armature Core Length

Armature Diameter using Output Equation Formula

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

Why is it called armature?

The word armature was first used in its electrical sense, i.e. keeper of a magnet, in mid 19th century. The parts of an alternator or related equipment can be expressed in either mechanical terms or electrical terms.

What is limiting value of armature diameter?

The diameter of the commutator is chosen as 60 to 80% of armature diameter. The limiting factor is the peripheral speed.

How to Calculate Armature Diameter using Output Equation?

Armature Diameter using Output Equation calculator uses Armature Diameter = sqrt(Output Power/(Output Coefficient AC*1000*Synchronous Speed*Armature Core Length)) to calculate the Armature Diameter, The Armature diameter using output equation formula helps in calculating length of the diameter of the armature of any electrical machine. The output equation relates the machine's output power to various design parameters, including the armature diameter. Armature Diameter is denoted by D_a symbol.

How to calculate Armature Diameter using Output Equation using this online calculator? To use this online calculator for Armature Diameter using Output Equation, enter Output Power (P_o), Output Coefficient AC (C_o(ac)), Synchronous Speed (N_s) & Armature Core Length (L_a) and hit the calculate button. Here is how the Armature Diameter using Output Equation calculation can be explained with given input values -> 0.499655 = sqrt(600000/(0.85*1000*9424.77796028944*0.3)).

FAQ

What is Armature Diameter using Output Equation?

The Armature diameter using output equation formula helps in calculating length of the diameter of the armature of any electrical machine. The output equation relates the machine's output power to various design parameters, including the armature diameter and is represented as D_a = sqrt(P_o/(C_o(ac)*1000*N_s*L_a)) or Armature Diameter = sqrt(Output Power/(Output Coefficient AC*1000*Synchronous Speed*Armature Core Length)). 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 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), 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 & Armature core length refers to the axial length of the armature core, which is the part of the machine that houses the armature winding.

How to calculate Armature Diameter using Output Equation?

The Armature diameter using output equation formula helps in calculating length of the diameter of the armature of any electrical machine. The output equation relates the machine's output power to various design parameters, including the armature diameter is calculated using Armature Diameter = sqrt(Output Power/(Output Coefficient AC*1000*Synchronous Speed*Armature Core Length)). To calculate Armature Diameter using Output Equation, you need Output Power (P_o), Output Coefficient AC (C_o(ac)), Synchronous Speed (N_s) & Armature Core Length (L_a). With our tool, you need to enter the respective value for Output Power, Output Coefficient AC, Synchronous Speed & Armature Core Length 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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