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A 3-phase transformer has rating of 20 MVA, 220 kV (star) -33 kV (delta) with leakage reactance of 12%. The transformer reactance (in ohms) referred to each phase of the lv delta connected side is?
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A 3-phase transformer has rating of 20 MVA, 220 kV (star) -33 kV (delt...
Transformer Reactance Calculation


Given Information:


  • Transformer rating: 20 MVA

  • High voltage (HV) side: 220 kV (star)

  • Low voltage (LV) side: 33 kV (delta)

  • Leakage reactance: 12%



Step 1: Calculation of the HV current

The HV current can be calculated using the formula:

IHV = P / (sqrt(3) x VHV)

Where:


  • P = Transformer rating = 20 MVA

  • VHV = High voltage side = 220 kV (star)


Substituting the values, we get:

IHV = 20 x 106 / (sqrt(3) x 220 x 103) = 57.36 A


Step 2: Calculation of the LV current

The LV current can be calculated using the formula:

ILV = P / (sqrt(3) x VLV)

Where:


  • P = Transformer rating = 20 MVA

  • VLV = Low voltage side = 33 kV (delta)


Substituting the values, we get:

ILV = 20 x 106 / (sqrt(3) x 33 x 103) = 105.56 A


Step 3: Calculation of the transformer impedance

The transformer impedance can be calculated using the formula:

ZT = VHV / IHV

Where:


  • VHV = High voltage side = 220 kV (star)

  • IHV = HV current = 57.36 A


Substituting the values, we get:

ZT = 220 x 103 / 57.36 = 3831.6 Ω


Step 4: Calculation of the transformer reactance

The transformer reactance can be calculated using the formula:

XT = ZT x sin(θ)

Where:


  • ZT = Transformer impedance = 3831.6 Ω

  • θ =
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A 3-phase transformer has rating of 20 MVA, 220 kV (star) -33 kV (delta) with leakage reactance of 12%. The transformer reactance (in ohms) referred to each phase of the lv delta connected side is?
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