Math Problem Statement
In question 9, what is the peak output power of the PV panel if solar energy available is for 5.4 hours daily under standard insolation? 257 W 457 W 357 W 300 W
Solution
To determine the peak output power of a PV (photovoltaic) panel, we need to use the formula that relates the daily energy production, peak power, and the number of hours of available sunlight:
Given:
- Daily Energy Production (solar energy available) = ?
- Hours of Sunlight (under standard insolation) = 5.4 hours
Assuming the daily energy production is given, we can rearrange the formula to find the Peak Power:
Without the specific value for the daily energy production, we would typically assume that the problem requires us to select the value that aligns with the given insolation hours and typical PV panel performance under standard conditions.
Standard Conditions Assumption:
Let's assume the standard solar insolation is around 1000 W/m² (standard test condition) and that the total daily energy production is calculated for a 1 m² panel.
To find the Peak Output Power that aligns with the available sunlight, we consider a typical average output for a residential or commercial panel, which ranges from around 250 W to 400 W per panel.
Given Choices Analysis:
- 257 W: This could be a panel with lower efficiency or a smaller panel.
- 457 W: This is a high-efficiency panel.
- 357 W: A typical value for medium-sized high-efficiency panels.
- 300 W: A very standard average-sized panel under optimal conditions.
Given that 5.4 hours of daily sunlight is considered a decent amount of insolation and that most panels under these conditions would output near their peak power, the answer seems to align most closely with 357 W. This is a standard efficiency panel's peak output power under typical sunlight duration.
Answer: 357 W
Would you like more details on how this is calculated or other related information?
Related Questions:
- What is the typical efficiency range of a commercial PV panel?
- How does shading affect the peak output power of a PV panel?
- What is the difference between peak power and average power for a solar panel?
- How do temperature changes impact PV panel efficiency?
- What are the benefits of using Maximum Power Point Tracking (MPPT) in PV systems?
Tip: Remember, solar panel efficiency decreases slightly as the temperature increases. Proper ventilation or installation can help maintain optimal performance.
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Math Problem Analysis
Mathematical Concepts
Photovoltaic Systems
Solar Energy
Formulas
Peak Power calculation formula
Theorems
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Suitable Grade Level
Advanced