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WEEK 20: DESIGN NOTES: EQUIVALENT CIRCUIT DIAGRAM


Legend: Formula: : Formula |Limits: : Limits, Range | Notes: : Notes


Updated: Saturday, October 06, 2000

<-- Back Items 100 - 108

Notes: The value used for slip, s is the Full Load Slip, Item No. 54a. Complete the Table similar to page 335-335, and plot the Characteristic Curve of line current, slip, torque, efficiency, power factor versus HP. Solve for the following conditions of Full Load Slip:
a. 50% of Full Load Slip
b. 75% of Full Load Slip
c. 100% of Full Load Slip, and
d. 120% of Full Load Slip

Item 109. Armature Resistance per phase, R1
Formula: Use: R1 =(Rf)
Notes:Where: (Rf), Resistance per phase, see Item No. 30.

Item 110. Armature Reactance per Phase, X1
Formula: Use: X1 =Xe / 2.
Notes:Where: Xe, Armature Reactance per phase, Item 69.

Item 111. Rotor Resistance per phase, R2
Formula: Use: R1 =(Rf)
Notes:Where: (Rf), Resistance per phase, see Item No. 30.

Item 112. Armature Reactance per Phase, X1
Formula: Use: X1 =Xe / 2.
Notes:Where: Xe, Armature Reactance per phase, Item 69.


Calculations for Rotor Circuit

Item 113. Equivalent Resistance per phase [Mechanical Load], R2m
Formula: Use: R2m = R2 × [(1 - s) / s) ]

Item 114. Equivalent Resistance per phase of Rotor Circuit, R2e
Formula: Use: R2e = R2 / s

Item 115. Impedance per phase in Rotor Circuit, Z2
Formula: Use: Z2 = R2e + jX2

Item 116. Equivalent Conductance per phase, G2
Formula: Use: G2 = R2e / Z2²

Item 117. Equivalent Susceptance per phase, B2
Formula: Use: B2 = X2 / Z2²


Calculations for Rotor and Exciting Circuits in Parallel

Item 118. Induced Voltage at No Load, Eo
Formula: Use: Eo = E - ( Ie × X1 )

Item 119. Conductance per phase of Exciting Circuit, go
Formula: Use: go = WA+R fe / (3 × Eo)

Item 120. Susceptance per phase of Exciting Circuit, bo
Formula: Use: bo = Io / Eo

Item 121. Admitance per phase in Rotor and Exciting Circuits, Y2-o
Formula: Use: Y2-o = (G2 + go ) + j ( Bo + bo )

Item 122. Resistance per phase in Rotor and Exciting Circuits, R2-o
Formula: Use: R2-o = (G2 + go ) / (Y2-o )²

Item 123. Reactance per phase in Rotor and Exciting Circuits, X2-o
Formula: Use: X2-o = (B2 + bo ) / (Y2-o )²

Item 124. Impedance per phase in Rotor & Exciting Circuits, Z2-o
Formula: Use: Z2-o = R2-o + jX2-o

 Items 125 - 139


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