Math Problem Statement
Solution
The problem in the image asks to calculate the annual electricity generation of a solar power system (PV system) installed on an area of 30 m × 40 m, given the following information:
- The total average solar radiation in the region is 1,200 kWh/m²/year.
- The energy production efficiency of the PV system is 21%.
- We are asked to calculate the electricity generated by the system annually in kWh.
Step-by-Step Calculation:
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Calculate the total area of the PV system:
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Determine the total solar energy received by this area per year:
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Apply the system efficiency to calculate the actual electricity generated:
Final Answer:
The solar PV system will generate 302,400 kWh per year.
Do you have any questions or would you like a more detailed explanation?
Here are 5 related questions:
- How is solar radiation typically measured in different regions?
- How does the efficiency of a PV system affect energy production over time?
- What factors could influence the real-world efficiency of a solar panel system?
- How would a change in the size of the PV system affect the annual electricity generation?
- What are the benefits of using solar energy compared to other renewable energy sources?
Tip: Solar panel efficiency can decrease over time due to factors like dirt accumulation, degradation, and temperature changes. Regular maintenance can help sustain performance.
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Math Problem Analysis
Mathematical Concepts
Area Calculation
Energy Conversion
Efficiency
Formulas
Area = Length × Width
Total Solar Energy = Area × Solar Radiation per m²
Electricity Generated = Total Solar Energy × Efficiency
Theorems
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Suitable Grade Level
High School