Hand-Solved Fault Analysis

Job ID: 40006562

Budget: $30 – $250 USD

I have a set of multi-step power-system problems that must be solved entirely by hand and presented clearly, step-by-step. The tasks span single-line-to-ground and line-to-line faults, construction of positive-, negative-, and zero-sequence networks, transformer phasing checks, relay reach and apparent-impedance calculations, and Thévenin equivalent derivations at specified buses. A short bonus section explores mutual coupling between parallel transmission lines.

What I need from you is an in-depth analysis for every item—not just numeric answers, but the reasoning, symmetrical-component substitutions, and matrix operations that lead there. Wherever a diagram or sequence network is required, sketch it neatly, label all impedances, and reference it in the written solution. Conclude with the neutral-resistor power calculation and the symmetrical-component phasor sets.

Submit a clean, legible PDF (scans or tablet handwriting are both fine) showing every algebraic step, phasor diagram, and final numeric result so that another engineer could follow the logic without additional notes.