4. A 400 kV, 150 km long OHL with parameters R-0.017 2/km, XL50.27 2/km and X 94520 2/km is used to transmit 1800 MW at 0.9 power factor (lag). Calculate the sending end voltage using: a) Simple short-line R/L model b) Full distributed line model

4. A 400 kV, 150 km long OHL with parameters R-0.017 2/km, XL50.27 2/km and X 94520 2/km is used to transmit 1800 MW at 0.9 power factor (lag). Calculate the sending end voltage using: a) Simple short-line R/L model b) Full distributed line model

Power System Analysis and Design (MindTap Course List)

6th Edition

ISBN:9781305632134

Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Chapter8: Symmetrical Components

Section: Chapter Questions

Problem 8.10P

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Concept explainers

Maximum power transfer theorem

A resistive load will consume maximum power from a network when the load resistance is equal to the resistance of the network as viewed from the open-circuit terminals, with all energy sources removed leaving only the internal resistances. Physicist Moritz von Jacobi introduced the maximum power transfer theorem in 1940. Therefore, this theorem is also known as Jacobi's law.

Question

4. A 400 kV, 150 km long OHL with parameters R-0.017 2/km, X₁50.27 2/km and
X 94520 2/km is used to transmit 1800 MW at 0.9 power factor (lag). Calculate the
sending end voltage using:
a) Simple short-line R/L model
b) Full distributed line model

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