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Simulation- Based Design Study Modeling a Wind Turbine Chris Gloss, Andrew Lincoln, Matthew Mustard, John Semmens, & Shereef Shehab
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Introduction 2
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Scope Goals o Develop a fully functional model of a 1.5 MW wind turbine based on industry standards o Utilize available wind data for Atlanta’s Airport o Determine the feasibility of installing a wind turbine in Atlanta Design Variables o Rotor Radius o Tower Height To develop a model of a wind turbine that will provide its expected utility using the Dymola and Model Center software. Wind Turbine Modeling3
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Influence Diagram Wind Turbine Modeling4
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Blades NACA 4412 Airfoil Triangular planform. Assumed to be made of fiberglass and hollow. Moment of inertia of the blade about the base was calculated. Wind Turbine Modeling5
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Dymola Model: Overview Wind Turbine Modeling6
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Implementation of a PID Controller Wind Turbine Modeling7
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Role of Uncertainty The central composite experiment showed which uncertain variables have the greatest effect. Wind Turbine Modeling8
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Monte Carlo Analysis Wind Turbine Modeling9
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Dymola Model: Dymola Model: Cost Wind Turbine Modeling10
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NPV Model Wind Turbine Modeling11
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@Risk – Monte Carlo within Excel AEP = 3,950,000 kW-hr Left: Cost = $1,880,000 Right: Cost = $1,770,000 Wind Turbine Modeling12
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Determination of r NPV Maximum = $3,856,616.88 NPV Minimum = ($1,173,934.14) At what dollar amount are we indifferent between the NPV maximum and minimum? Chosen value = $200,000 Using a Matlab script the risk aversion coefficient is 4.2438x10 -7 Wind Turbine Modeling13
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Full Factorial Exploration Wind Turbine Modeling14
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Deterministic Optimization Wind Turbine Modeling15
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Optimization with Uncertainty Wind Turbine Modeling16 Results Optimum Rotor Radius 43.65 m Optimum Hub Height85 m Maximum Expected Utility -$14,205.40 StatisticExpected Utility ($) Minimum-1,917,290 Maximum950,206 Mean-14,205.40 Median53,432.20 Lower 25%-134,740 Upper 25%265,559 Standard Deviation 521,651
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Thank You Does any one have any questions? Wind Turbine Modeling17
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