For a 50 Hz 300 km long transmission line V_{S} = 145∠4.9° kV, I_{S} = 0.164∠36.9° kA. What is the sending end power?
Sending end power factor = cos(4.9deg + 36.9 deg)
= cos (41.8 deg) = 0.745 lagging
Vs = 145√3
Sending end power = √(V_{s} x I_{s }x cosΦ)= √3 x 145√3 x 0.164 x 0.745 = 53.2 MW.
The ABCD constants of a 3phase transmission line are
A = D = 0.8 ∠1°
B = 170 ∠85° Ω
C = 0.002 ∠90.4° mho
The sending end voltage is 400 kV. The receiving end voltage under noload condition is
At no load V_{s} = AV_{r} as I_{r} = 0
If a 250 MVA, 11/400 kV threephase power transformer has leakage reactance of 0.05 per unit on the base of 250 MVA and the primary voltage of 11kV, then the actual leakage reactance of the transformer referred to the secondary side of 400 kV is
Z_{1}(actual) = Z_{pu} . Z_{base}
The surge impedance of a 3phase, 400 kV transmission line is 400 Ω. The surge impedance loading (SIL) is
The 50 Hz generating units operate in parallel with in the same power plant and have the following ratings:
Unit 1: 500 MVA, 0.85 power factor, 20 kV, 3000 rpm,
H_{1} = 5 MJ/MVA
Unit 2: 200 MVA, 0.9 power factor, 20 kV, 1500 rpm,
H_{2} = 5 MJ/MVA.
The equivalent inertia constant H in MJ/MVA on 100 MVA base is
S_{e }H_{e} = S_{1} H_{1} + S_{2} H_{2}
= 500 × 5 + 200 × 5 = 3500
∴ He (100 MVA base = 3500/100
= 35.0 MJ/MVA
If a travellingwave travelling along a lossfree overhead line does not result in any reflection after it has reached the far end, then the far end of the line is
That’s why line terminated into a resistance equal to surge impedance of the line is called as infinite line.
The active and the reactive power delivered at the receiving end of a short transmission line of impedance Z∠Ψ are respectively given by
V_{S} and V_{R} being the magnitude of voltage at the sending and receiving ends, δ is the powerangle. At the powerlimit condition i.e., for maximum P_{R}
At maximum P_{R} , Ψ = δ and corresponding
Q_{R} is given By QR
If a 500 MVA, 11 kV threephase generator at 50 Hz feeds, through a transfer impedance of (0.0 + J 0.605) Ω per phase, an infinite bus also at 11 kV; then the maximum steady state power transfer on the base of 500 MVA and 11 kV is
Maximum steadystate power
In a three unit insulator string, voltage across the lowest unit is 17.5 kV and string efficiency is 84.28%. The total voltage across the string will be equal to
Total voltage across the string
= 0.8428 × 17.5 × 3 = 44.25 kV
Bundled conductors are used for EHV transmission lines primarily for reducing the
The bundle acts as far as the electric field is concerned, like a conductor of diameter much larger than that of the component conductors. This reduces the voltage gradient. In other words a higher voltage can be used for permissible levels of Radio interference.
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