Math Problem Statement
A generator has an output voltage of 13.8 kV and is scheduled to deliver 50 MW of real power and 50 MVAR of reactive power. What is the magnitude of the current at the generator terminals
Solution
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Math Problem Analysis
Mathematical Concepts
Electrical Power Systems
Complex Power (Apparent, Real, and Reactive)
Phasor Analysis
Three-Phase Power
Formulas
Apparent Power S = P + jQ
Magnitude of Apparent Power |S| = √(P^2 + Q^2)
Current Magnitude |I| = |S| / (√3 * V)
Theorems
Pythagorean Theorem (used to calculate magnitude of apparent power)
Three-Phase Power System Analysis
Suitable Grade Level
College-Level Electrical Engineering
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