NCEES 530

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Attached is my work on how I solved problem 530 using 2 different methods.

The 0.025 is the per-unit impedance of the utility. It comes from the following:

  • The utility has a line-to-line voltage of 12.47 KV and a 3-phase fault duty (available 3-phase fault short circuit power) of 40 MVA. So it can be represented by an impedance of:
    ZU = VU LL^2 / SU, SC = (12.47 KV)^2 / (40 MVA) = 3.888 ohms
  • The base values for the utility correspond to the primary side of the given transformer. So:
    V Base1 LL = 12.47 KV
    S Base 3-ph = 1000 KVA
    Z Base 1 = V Base 1 LL^2 / S Base 3-ph = (12.47 KV)^2 / (1000 KVA) = 155.501 ohms
  • The p.u. impedance of the utility is then:
    ZU pu = ZU / Z Base 1 = 3.888 / 155.501 = 0.025 p.u.
 

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