A three bus power system with base of 100 MVA and 11 kV whose bus impedances matrix Z-bus for the system given in the following:
$[\begin{matrix} j 0.16 & j 0.08 & j 0.12 \\ j 0.08 & j 0.24 & j 0.16 \\ j 0.12 & j 0.16 & j 0.34 \end{matrix}]$
When 5% over voltage occurs in bus-2, fault takes place.
Find the sub-transient current in the fault bus and the bus voltages in the remaining buses during the fault.

বাংলাদেশ পল্লী বিদ্যুতায়ন বোর্ড - পল্লী বিদ্যুৎ সমিতি - সহকারী জেনারেল ম্যানেজার (ওএন্ডএম/পিএন্ডএম/ইএন্ডসি) (28-02-2026) ইলেকট্রিক্যাল এন্ড ইলেকট্রনিক্স ইঞ্জিনিয়ারিং (EEE)

Created: 1 week ago | Updated: 1 week ago

Updated: 1 week ago

Ans :

Given,

$Z_{22} = j 0.24$

$P r e f a u l t v o l t a g e a t B u s - 2 = 1.05 р и$

Sub-transient Fault Current,

$I_{f} = \frac{1.05}{j 0.24} = - j 4.375 р и$

$| I f | = 4.375 p u$

Base current,

$100 \times 10^{6}$

$I_{b a s e} = \frac{100 \times 10^{6}}{\sqrt{3} \times 11 \times 10^{3}}$

$I_{f} = 22.96 k A$

Bus Voltages During Fault,

$V_{i} = V_{i}^{0} - Z_{i 2} l_{f}$

Bus-1:

$V_{1} = 1 - (j 0.08) (- j 4.375) = 1 - 0.35$

$= 0.65 р и$

Bus-2 (fault bus), $V_{2} = 0$

Bus-3:

$V_{3} = 1 - (j 0.16) (- j 4.375) = 1 - 0.70$

$= 0.30 p u$

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Question:
A three bus power system with base of 100 MVA and 11 kV whose bus impedances matrix Z-bus for the system given in the following:
$[\begin{matrix} j 0.16 & j 0.08 & j 0.12 \\ j 0.08 & j 0.24 & j 0.16 \\ j 0.12 & j 0.16 & j 0.34 \end{matrix}]$
When 5% over voltage occurs in bus-2, fault takes place.
Find the sub-transient current in the fault bus and the bus voltages in the remaining buses during the fault.

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ইলেকট্রিক্যাল এন্ড ইলেকট্রনিক্স ইঞ্জিনিয়ারিং (EEE)

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