Question

Consider a single-phase circuit where a 14 kV, 60 Hz voltage source feeds an electric load through a feeder whose impedance is 1.5 + j 3 Ω. The load is known to consume 4 MW and 3 MVAR. Let V and δ represent the rms voltage and its phase angle (relative to the source voltage) at the load terminals. Two equations are needed to solve for V and δ.

1) Derive two analytical expressions in terms of V and δ that need to be solved.

2) Determine the values of V and δ (hint: numerical solution is required) .

3) Determine the active and reactive powers supplied by the source.

Answer 1