This calculation includes:

• Solar Panel Wattage required
• Battery Capacity needed (12V Acid battery)
• Charge Controller
• Cables & Accessories
• Installation & Maintenance Costs
• Total System Cost in USD

1. Power Consumption Calculation

• Induction Cooktop Power: 5000W (5kW)
• Daily Usage: 6 hours per day
• Total Energy Consumption Per Day: 5000W×6 hours=30,000Wh (30kWh)5000W \times 6 \text{ hours} = 30,000Wh \text{ (30kWh)}5000W×6 hours=30,000Wh (30kWh)
• Total Energy Consumption Per Month: 30,000Wh×30 days=900,000Wh (900kWh)30,000Wh \times 30 \text{ days} = 900,000Wh \text{ (900kWh)}30,000Wh×30 days=900,000Wh (900kWh)

2. Battery Requirement Calculation

• System Voltage: 72V
• Total Required Battery Capacity (Ah): 30,000Wh72V=417Ah\frac{30,000Wh}{72V} = 417Ah72V30,000Wh​=417Ah
• Battery Configuration:
  • Using 12V, 100Ah batteries
  • To achieve 72V system, 6 batteries must be connected in series
  • To meet 417Ah, we need 5 parallel sets of 6 batteries
  • Total Batteries Required: 6×5=30 batteries6 \times 5 = 30 \text{ batteries}6×5=30 batteries
• Battery Cost Calculation:
  • Estimated cost per 12V 100Ah battery: $146
  • Total Battery Cost: 30×146=$4,38030 \times 146 = \mathbf{\$4,380}30×146=$4,380

3. Solar Panel Requirement Calculation

• Solar Power Needed (with 5 Hours of Peak Sunlight): 30,000Wh5 hours=6000W\frac{30,000Wh}{5 \text{ hours}} = 6000W5 hours30,000Wh​=6000W
• Solar Panels Required:
  • Each 200W panel produces 200W × 5 hours = 1000Wh (1kWh) per day
  • Total Panels Required: 30,000Wh1000Wh=30 panels\frac{30,000Wh}{1000Wh} = 30 \text{ panels}1000Wh30,000Wh​=30 panels
• Solar Panel Cost Calculation:
  • Estimated cost per 200W panel: $60
  • Total Solar Panel Cost: 30×60=$1,80030 \times 60 = \mathbf{\$1,800}30×60=$1,800

4. Charge Controller Requirement

• Required Charge Controller:
  • 72V system requires a charge controller with at least 100A capacity
  • Estimated cost for a 100A Charge Controller: $150

5. Cables & Accessories Cost

• High-capacity solar cables, connectors, battery wiring: $100

6. Installation & Maintenance Costs

• Installation (Labor, Panel Mounting, Wiring): $200
• Annual Maintenance (Battery Check, Cleaning Panels): $100

7. Total System Cost Breakdown

Final Summary

Additional Notes:

• Battery Lifespan: Lead-acid batteries last 3-5 years, and may need replacement.
• Solar Panel Lifespan: 25+ years with minimal maintenance.
• Backup Options: Extra battery storage can be added for nighttime cooking.