Question

Balanced- Δ and-Y Loads A balanced, positive-sequence, Y-connected voltage source with Eab=480∠0∘ volts is applied to a balanced- Δ load with ZΔ=30∠40∘Ω. The line impedance between the source and load is ZL=1/85∘Ω, for each phase. Calculate the line currents, the Δ-load currents, and the voltages at the load terminals.

Answer 1

The student's question concerns calculating the line and load currents and voltages for a balanced delta-connected load in a three-phase electrical system. Essential techniques include converting delta to star (wye) impedances and applying Ohm's Law in the context of complex phasor relationships.

Step-by-step explanation:

The question involves a three-phase electrical system with a Y-connected voltage source and a balanced delta-connected (Δ-connected load) load. The line currents, delta load currents, and load terminal voltages must be calculated given the source voltage, load impedance, and line impedance. The calculation requires understanding of three-phase power systems, complex numbers for calculating impedances, and phasor diagrams for current and voltage relationships.

Calculations would involve transforming the delta impedance to its equivalent star impedance to solve for the phase currents easily, and using Ohm's Law (V=IZ) with the transformed impedances to find the currents in the line (line currents) and the load (phase currents). Finally, the line-to-line and line-to-neutral voltages at the load would be found using the phase currents and impedances.