Per-unit & symmetrical components
The two universal building blocks of power-system analysis.
Lessons
DC circuits & Thevenin / Norton
Ohm + Kirchhoff + mesh/nodal methods. Thevenin equivalent (V_th, R_th) and Norton dual (I_N, R_N). Max power transfer (R_L = R_th, η = 50%). Superposition. Foundation of all linear circuit analysis.
Per-unit system + base conversion
Why expressing every quantity as a fraction of a base makes power-system math beautiful — and how to convert between bases without panic.
Symmetrical components — Fortescue decomposition
Any three unbalanced phasors split uniquely into a balanced positive-sequence + a balanced negative-sequence + a zero-sequence set. The algebra behind all unbalanced fault analysis.
Three-phase circuit analysis — Y, Δ, and the power triangle
Line vs phase, Y ↔ Δ conversion, P = √3·V_LL·I_L·cos θ, complex power S = V·I*, and PF correction with capacitors.
Single-phase AC analysis — phasors, complex impedance, resonance, max power
Phasor algebra, Z_L = jωL, Z_C = -j/(ωC), series + parallel RLC, resonance with Q & bandwidth, and conjugate-matched maximum power transfer.