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### Proposed Question: Design and Analysis of a Hybrid Renewable Energy System

#### Background: Participants are tasked with designing a hybrid renewable energy system for a small island. The system should combine solar and wind power to meet the island's energy demands efficiently.

#### Data and Diagrams Provided: 1. **Diagram 1**: Layout of the island showing possible locations for solar panels and wind turbines. 2. **Diagram 2**: Electrical schematic of the hybrid system, including solar panels, wind turbines, batteries, and load connections. 3. **Numerical Data**: - Average solar irradiance: \(200 \, \text{W/m}^2\) - Efficiency of solar panels: \(15%\) - Average wind speed: \(7 \, \text{m/s}\) - Efficiency of wind turbines: \(30%\) - Daily energy consumption of the island: \(500 \, \text{kWh}\) - Battery storage capacity: \(800 \, \text{kWh}\) - Maximum power capacity for solar panels: \(200 \, \text{kW}\) - Maximum power capacity for wind turbines: \(300 \, \text{kW}\)

#### Task: 1. Determine the optimal combination of solar panels and wind turbines to meet the energy demands of the island. 2. Calculate the total area required for the solar panels and the number of wind turbines needed. 3. Design the layout for placing the solar panels and wind turbines on the island, considering efficiency and space constraints. 4. Analyze how the system will meet the daily energy demands and manage excess energy or deficits.

#### Skills Tested: - Understanding of renewable energy systems - Electrical engineering design principles - Analytical and problem-solving skills - Efficiency optimization

Diagram 2: Electrical Schematic of the Hybrid System