The grid is dark. The black-start plants (★ Hydro and the Gas turbines) can start with no external power. Start one, energize outward through a substation, and pick up load in blocks.
Power balance: 2H·df/dt ∝ (Pgen − Pload) = 0 MW · f = —
Net load = demand − (solar+wind) = 0 MW, carried by dispatchable plants
Meshed DC power flow: parallel paths split by impedance; a line trips at >103%, or >100% for 30 min
The network now has loops: two lines feed the Factory, and an east substation ties the Hospital and Airport to a local gas unit.
Power splits across parallel paths by impedance, so unloading one path loads the other. If a line trips on overload, its flow reroutes —
which can overload the next line and cascade. Solar and wind are must-take with no inertia; the dispatchable plants follow the net load.