Metadata
Interdisciplinary / Other Grade 9-12 Apply Hard-
Subject
Interdisciplinary / Other
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Education level
Grade 9-12
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Cognitive goals
Apply
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Difficulty estimate
Hard
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Tags
renewable energy, optimization, emissions, seasonal demand, energy planning
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Number of questions
5
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Created on
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Generation source
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License
CC0 Public domain
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Prompt
Assess students' ability to formulate and solve a constrained optimization problem to select installed capacities of renewable technologies and storage for a small town so as to minimize combined lifecycle cost and CO2 emissions over a year with seasonal (monthly/weekly or hourly) demand and generation profiles. Students should define decision variables, construct a weighted objective function (cost + emissions), set constraints (time-step energy balance, capacity limits, storage charging/discharging dynamics, reliability/reserve or unmet-demand limits, non-negativity), choose an appropriate solution approach (LP/MIP or heuristic), specify required data and assumptions (generation profiles, demand seasonality, costs, emission factors), run a baseline optimization, perform sensitivity analysis on weightings, storage size, and technology costs, and interpret trade-offs and policy implications in results and recommendations.
Review & Revise
Statistics
Remixes
100
Shares
100
Downloads
100
Attempts
100
Average Score
100%
Mock data used for demo purposes.