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Estimate the distance over which a load of 1500kw at a p.f. 0.8 lagging can be delivered by a 3-phase transmission line having conductors each of resistance 1 ohm per kilometre. The voltage at the receiving end is to be 132 kv and the loss in the transmission is to be 5%.?
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Estimate the distance over which a load of 1500kw at a p.f. 0.8 laggin...
Calculation of the Transmission Line Distance

Given Data:

  • Load (P) = 1500kW

  • Power Factor (PF) = 0.8 lagging

  • Voltage at Receiving End (Vr) = 132kV

  • Loss in Transmission (L) = 5%

  • Conductor Resistance (R) = 1 Ohm/km



Calculation:

The formula to calculate the transmission line distance is:

Distance = (Vr x √3 x P.F x Load x R)/(1000 x (1 - L))

Substituting the given values, we get:

Distance = (132 x √3 x 0.8 x 1500 x 1)/(1000 x (1 - 0.05))

Distance = 338.2 km

Therefore, the distance over which a load of 1500kW at a power factor of 0.8 lagging can be delivered by a 3-phase transmission line having conductors each of resistance 1 ohm per kilometre is 338.2 km.

Explanation:

The given problem is related to the transmission of electric power through a 3-phase transmission line. The load, power factor, voltage at the receiving end, loss in transmission, and conductor resistance are given. We have to calculate the distance over which the load can be delivered.

The formula to calculate the transmission line distance is derived from the basic power equation, which states that the power is equal to the voltage multiplied by the current. In a 3-phase system, the power is equal to the product of the voltage, current, power factor, and √3. The resistance of the conductor is also considered in the calculation of power loss.

The distance over which the load can be delivered depends on the voltage at the receiving end, power factor, load, conductor resistance, and power loss. As the power loss increases, the distance over which the load can be delivered decreases.

In the given problem, the calculated distance is 338.2 km, which means that the load can be delivered over a distance of 338.2 km with a voltage of 132kV at the receiving end, a power factor of 0.8 lagging, and a power loss of 5%.
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it depends on the length of the conductor the capacitance of the line is proportional to the length of the transmission line their effect is negligible on the performance of short having a length less than 80 km and low voltage transmission accidents of the transmission line along with the conductances forms the shunted mittens the conductance and the transmission line is because of the leakage over the surface of the conductor considered a line consisting of two conductors and be each of radius are the distance between the conductors being Des shown in the diagram below minus the potential difference between the conductors and via's work QA charge on conductor QB charge on conductor vvab pencil difference between conductor and the Epsilon minus absolute primitivity QA plus QV = 0 so that QA equals QB - equals DBA equals data equals DB equals our substituting these values and voltage equation we get the capacitance between the conductors is cab is referred to as lying to line capacitance if the two conductors are in VR oppositely charge then the potential difference between them is zero then the potential of each conductor is given by one half bath the capacitance between each conductor and point of zero potential and is capacitive CN is called the capacitance to neut or capacitance to ground capacitance cab is the combination of two equal capacity and VN series thus capacitance to neutral is twice the capacitance between the conductors IE CN equals to Cave the absolute primitivity Epsilon is given by Epsilon equals epsilono Epsilon are where epsilano is the permittivity of the free space and Epsilon or is the relative primitivity of the medium prayer capacitance reactants between one conductor and neutral capacitance of the symmetrical three phase line let a balanced system of voltage be applied to a symmetrical three-phase line shown below the phasor diagram of the three phase line with equilateral spacing is shown below take the voltage of conductor to neutral as a reference phaser the potential difference between conductor and we can be written the similarly potential difference between conductors and sea is on adding equations one and two we get also combining equation three and four from equation 6 and 7 the line to neutral capacitance the capacitance of symmetrical three phase line is same as that of the two wire line Related: Capacitance of Transmission Lines?

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Estimate the distance over which a load of 1500kw at a p.f. 0.8 lagging can be delivered by a 3-phase transmission line having conductors each of resistance 1 ohm per kilometre. The voltage at the receiving end is to be 132 kv and the loss in the transmission is to be 5%.?
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Estimate the distance over which a load of 1500kw at a p.f. 0.8 lagging can be delivered by a 3-phase transmission line having conductors each of resistance 1 ohm per kilometre. The voltage at the receiving end is to be 132 kv and the loss in the transmission is to be 5%.? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about Estimate the distance over which a load of 1500kw at a p.f. 0.8 lagging can be delivered by a 3-phase transmission line having conductors each of resistance 1 ohm per kilometre. The voltage at the receiving end is to be 132 kv and the loss in the transmission is to be 5%.? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Estimate the distance over which a load of 1500kw at a p.f. 0.8 lagging can be delivered by a 3-phase transmission line having conductors each of resistance 1 ohm per kilometre. The voltage at the receiving end is to be 132 kv and the loss in the transmission is to be 5%.?.
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