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