Three single-phase two-winding transformers, each rated 25 MVA , 34 . 5 / 13 . 8 kV , are connected to form a three-phase Δ − Δ bank. Balanced positive-suence voltages are applied to the high-voltage terminals, and a balanced, resistive Y load connected to the low-voltage terminals absorbs 75 MW at 13.8 kV. If one of the single-phase transformers is removed (resulting in an open − Δ connection) and the balanced load is simultaneously reduced to 43.3 MW ( 57 . 7 % of the original value), determine (a) the load voltages V a η , V b η , and V c η ; (b) load currents I a , I b , and I c ; and (c) the MVA supplied by each of the remaining two transformers. Are balanced voltages still applied to the load? Is the open − Δ transformer overloaded?
Three single-phase two-winding transformers, each rated 25 MVA , 34 . 5 / 13 . 8 kV , are connected to form a three-phase Δ − Δ bank. Balanced positive-suence voltages are applied to the high-voltage terminals, and a balanced, resistive Y load connected to the low-voltage terminals absorbs 75 MW at 13.8 kV. If one of the single-phase transformers is removed (resulting in an open − Δ connection) and the balanced load is simultaneously reduced to 43.3 MW ( 57 . 7 % of the original value), determine (a) the load voltages V a η , V b η , and V c η ; (b) load currents I a , I b , and I c ; and (c) the MVA supplied by each of the remaining two transformers. Are balanced voltages still applied to the load? Is the open − Δ transformer overloaded?
Solution Summary: The author calculates the line-to-line voltage rating for every single-phase transformer.
Three single-phase two-winding transformers, each rated
25 MVA
,
34
.
5
/
13
.
8
kV
, are connected to form a three-phase
Δ
−
Δ
bank. Balanced positive-suence voltages are applied to the high-voltage terminals, and a balanced, resistive Y load connected to the low-voltage terminals absorbs 75 MW at 13.8 kV. If one of the single-phase transformers is removed (resulting in an open
−
Δ
connection) and the balanced load is simultaneously reduced to 43.3 MW (
57
.
7
%
of the original value), determine (a) the load voltages
V
a
η
,
V
b
η
,
and
V
c
η
;
(b) load currents
I
a
,
I
b
,
and
I
c
;
and (c) the MVA supplied by each of the remaining two transformers. Are balanced voltages still applied to the load? Is the open
−
Δ
transformer overloaded?
4. For the periodic signal shown in Fig. 4;
a) Find the exponential Fourier Series for y(t).
b) Use Parseval's Theorem to compute the total power contained in the 4th harmonic and all higher
harmonics.
2+
y(t)
+
-2л
-л
0
2л
Зл
4л
Fig. 4
2. a) Find the Fourier transform of the signal
shown in Fig. 2 and express it in its most
compact form;
b) Find the value of the energy spectral
density at f=1/4.
0
-2
-1
-3.
Fig. 1
g(t)
3
1
2
t-
Fig 2
5. Consider a filter whose transfer function is: H(f) =
-12xfß
(a + jπ f ) ²
(a) show that the filter is non-causal for α = 3, p= -1;
(b) choose alternate values of α, ẞ that result in a causal filter, and demonstrate that your choice
valid.
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How does a Transformer work - Working Principle electrical engineering; Author: The Engineering Mindset;https://www.youtube.com/watch?v=UchitHGF4n8;License: Standard Youtube License