A renewable energy analyst is comparing wind and solar output. Wind turbines generate 8.4 MW per day on average, while solar panels generate 5.6 MW per day in the same period. If the state needs 150 MW over 5 days, how many full days of combined wind and solar output are required to meet or exceed demand?
["How Wind and Solar Power Compare: Meeting State Demand with Renewable Outputs", "As states push toward clean energy transitions, understanding the output differences between wind and solar technologies becomes essential for planning reliable power systems. A key factor in this comparison is evaluating how much energy wind turbines and solar panels can generate over time to meet regional energy needs.", "Take, for example, a state needing 150 MW over 5 days. Analyzing daily renewable generation, wind turbines produce an average of 8.4 MW per day, while solar panels generate 5.6 MW per day. The challenge lies in determining how many full days of combined wind and solar output are required to meet or exceed this demand.", "### Daily Renewable Contribution\n- Wind output: 8.4 MW/day\n- Solar output: 5.6 MW/day\n- Combined daily output:\n [\n 8.4\ \ ext{MW} + 5.6\ \ ext{MW} = 14.0\ \ ext{MW per day}\n ]", "### Total Energy Needed\nThe state targets 150 MW over 5 days, meaning the daily average demand is:\n[\n\frac{150\ \ ext{MW}}{5\ \ ext{days}} = 30.0\ \ ext{MW/day}\n]", "But evaluating total output over full days requires aligning renewable generation with actual demand.", "### Days of Combined Output Required\nTo find how many full days of combined wind and solar output (14.0 MW/day) are needed to exceed or match 150 MW demand:\n[\nD = \frac{150\ \ ext{MW}}{14.0\ \ ext{MW/day}} \approx 10.71\ \ ext{days}\n]", "Since only full days count, and output is measured per 24-hour period, 11 full days of combined wind and solar generation are required to meet or exceed the state’s 150 MW over 5 days requirement.", "### Key Takeaway\nWind outperforms solar in daily output, but combining both technologies ensures a more consistent and reliable supply. In this scenario, eleven full days of combined wind (8.4 MW/day) and solar (5.6 MW/day) output deliver sufficient renewable energy to support the state’s 150 MW demand window.", "This comparative analysis helps policymakers and energy planners design resilient portfolios that leverage both wind and solar to maximize clean energy contributions reliably and sustainably.", "---", "Keywords: renewable energy comparison, wind vs solar output, energy demand planning, 8.4 MW wind output, 5.6 MW solar output, daily renewable generation, 150 MW energy need, full day output calculation"]
