An inland tie-line operates at and has a series reactance of over its length of

PHYSICS · Multi-part · Fermi University Physics · Electricity, Magnetism & Electromagnetism · Earth, Climate & Energy Physics · Energy systems, storage and demand

Energy from Physics, Ch The grid with variable renewables: power flow, inertia, adequacy and electrification

Problem

An inland tie-line operates at 275 kV275\,\mathrm{kV} and has a series reactance of 0.35 Ω km−10.35\,\Omega\,\mathrm{km^{-1}} over its length of 300 km300\,\mathrm{km}. Resistance and charging current may be ignored. The voltage magnitude is the same, 275 kV275\,\mathrm{kV}, at both ends. ((a)) Find the line's total reactance XX. ((b)) Find the maximum real power the line can transfer between its ends.

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