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Determine dVx/dx and dIx/dx for a long transmission line. B) Determine Vx and Ix. A) Derive the propagation constant. B) Define propagation constant. A) Derive the impedance characteristic. B) Define...

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Determine dVx/dx and dIx/dx for a long transmission line. B) Determine Vx and Ix.
  1. A) Derive the propagation constant. B) Define propagation constant.
  1. A) Derive the impedance characteristic. B) Define impedance characteristic.
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Department of Electrical Engineering EEGR424 Power Systems Do your own work A) Determine dVx/dx and dIx/dx for a long transmission line. B) Determine Vx and Ix. A) Derive the propagation constant. B) Define propagation constant. A) Derive the impedance characteristic. B) Define impedance characteristic. In a distribution network to a sub transmission (69KV from a 1MW plant) customer using a Sparrow AWG=2 aluminum cable, steel reinforced cable A) plot using excel the voltage and current for a 350Km transmission line at 25 degrees Celsius and 75 degrees Celsius. A) If I tell you that the resistance and admittance is equal 0, what does that mean for the transmission line? B) A) Derive the impedance characteristic and the propagation constant when R and G = 0. Power Factor Correction: Given: Vin= 120V Sin (2*pi*60Hz*t), R1= 1Kohms, R2= 1Kohms, L1= 1H Determine the apparent power. Determine the power factor. Design the circuit to provide a power factor of .9. Given a 3-Bus system that possess a generation bus-1, slack bus-2, and load bus-3 provide the balanced equation for the real power for the load bus the reactive power for the load bus. The real power for the slack bus.

Answered Same Day Dec 26, 2021

Solution

David answered on Dec 26 2021
118 Votes
Department of Electrical Engineering
EEGR424 Power Systems
Do your own work
1. A) Determine dVx/dx and dIx/dx for a long transmission line. B) Determine Vx and Ix.
Solution:
A power transmission line with its effective length of around 250 Kms or above is refe
ed to as
a long transmission line. The line constants are uniformly distributed over the entire length of
line. Calculations related to circuit parameters (ABCD parameters) of such a power transmission
is not that simple, as was the case for a short transmission line or medium transmission line.
The reason being that, the effective circuit length in this case is much higher than what it was for
the former models (long and medium line) and, thus ruling out the approximations considered
there like.

1. Ignoring the shunt admittance of the network, like in a small transmission line model.
2. Considering the circuit impedance and admittance to be lumped and concentrated at a
point as was the case for the medium line model.
Rather, for all practical reasons we should consider the circuit impedance and admittance
to be distributed over the entire circuit length as shown in the figure below.
The calculations of circuit parameters for this reason are going to be slightly more
igorous as we will see here. For accurate modeling to determine circuit parameters let us
consider the circuit of the long transmission line as shown in the diagram below.

Here a line of length l > 250km is supplied with a sending end voltage and...
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