Renewable Energy Systems

Solar PV sizing multiplies module efficiency by array area and irradiance for peak power, then by peak sun hours for daily energy; series strings add voltage while parallel strings add current to meet the inverter window.

Wind power scales with the cube of wind speed, P = ½ρAV³, but a turbine can extract at most a fraction C_p (≤ 0.593, the Betz limit) of it — so a small speed increase gives a large power gain.

Integrating renewables into the grid must respect voltage, frequency and fault-ride-through limits; high penetration lowers system inertia, making frequency more sensitive to generation–load imbalance.

Battery capacity in watt-hours is voltage times amp-hours; the C-rate sets the charge/discharge current, and usable energy depends on the allowed depth of discharge and round-trip efficiency.

A hybrid system combines solar, wind, storage and a diesel backup so their complementary profiles meet the load reliably; sizing balances loss-of-load probability against the levelised cost of energy.