The amount of energy from a given size system varies based on the site. Using Mwanza, Tanzania as a typical site, a system to reliably supply 2 kWh of AC electricity per day would consist of two 320-340 Wp modules, an MPPT charge controller, a 2.5 kW inverter and some batteries. Induction cooktops are typically rated at either 1,000W-AC or 1800-2200 W-AC. The smaller unit will require longer cooking times (same overall energy) and will put less stress on the battery.
The batteries are a critical part of the system, as well as the most expensive component. Lead-carbon batteries have excellent cycle life as well as high efficiency and relatively low cost. The recommended battery size for this application would be two 12V-G31 units — 110 Ah / 220 Ah at 24 VDC