Question

A simple power system is shown in Figure 1 below. (a) Draw the impedance diagram using base of 230V and 45kVA at the Zone 1. (b) Determine the current flow through the line. (c) Prove that the per unit current for both primary and secondary transformer 1, T1 are the same, by using base values of 45 kVA and 230V at supply. T1 1\text{\texteuro} 50Hz 230V 50kVA 5% Zone 1 230-460V 45kVA 5% Line T2 2.5+2j \Omega Load 2 \Omega 460-230V 25kVA Zone 2 4.6% Zone 3

          A simple power system is shown in Figure 1 below.
(a) Draw the impedance diagram using base of 230V and 45kVA at the Zone 1.
(b) Determine the current flow through the line.
(c) Prove that the per unit current for both primary and secondary transformer 1, T1 are
the same, by using base values of 45 kVA and 230V at supply.
T1
1\text{\texteuro} 50Hz
230V
50kVA
5%
Zone 1
230-460V
45kVA
5%
Line
T2
2.5+2j \Omega
Load
2 \Omega
460-230V
25kVA
Zone 2
4.6%
Zone 3

A simple power system is shown in Figure 1 below.
(a) Draw the impedance diagram using base of 230V and 45kVA at the Zone 1.
(b) Determine the current flow through the line.
(c) Prove that the per unit current for both primary and secondary transformer 1, T1 are
the same, by using base values of 45 kVA and 230V at supply.
T1
1€ 50Hz
230V
50kVA
5%
Zone 1
230-460V
45kVA
5%
Line
T2
2.5+2j ΩLoad
2 Ω460-230V
25kVA
Zone 2
4.6%
Zone 3

Added by Morgan W.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Ashwin Banarsee

Step 1

The per unit impedance is calculated by dividing the actual impedance by the base impedance. Given data: - Line impedance: 2.5 + 2j Ω - Transformer T1: 45kVA, 5% impedance - Transformer T2: 25kVA, 4.6% impedance First, let's calculate the base impedance: Base Show more…

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A simple power system is shown in Figure 1 below: (2) Draw the impedance diagram using a base of 230V and 4SkVA at Zone 1. (0) Determine the current flow through the line. (C) Prove that the per unit current for both primary and secondary transformers 1, T1, are the same by using base values of 45 kVA and 230V at supply. T1 T2 Line Load 2.5+2jQ 20 10 S0Hz 230V 50kVA 5% 230-460V 45kVA 5% 460-230V 25kVA 4.6% Zone 1 Zone 2 Zone 3