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A Multi-Stage Optimization Model for Flexibility in Engineering Design Ramin Giahi, Cameron A. MacKenzie, Chao Hu Iowa State University Industrial and Manufacturing Systems Engineering 1 Engineering System Design Power generation 25 de


  1. A Multi-Stage Optimization Model for Flexibility in Engineering Design Ramin Giahi, Cameron A. MacKenzie, Chao Hu Iowa State University Industrial and Manufacturing Systems Engineering 1

  2. Engineering System Design Power generation 25 de Abril bridge Industrial and Manufacturing Systems Engineering 2

  3. Previous Works Flexibility in engineering system design: • • Flexibility in system design and implications for aerospace systems (Saleh et.al 2003) • A flexible and robust approach for preliminary engineering design based on designer's preference (Nahm et.al, 2007) • A real options approach to hybrid electric vehicle architecture design for flexibility (Kang et.al 2016) Industrial and Manufacturing Systems Engineering 3

  4. Our Research Contribution To The Engineering Design • Challenges with flexible design: • Operation of engineered systems for long time • Evaluation of the objective function with the use of computationally expensive simulation • Our contribution: Optimize the design when the objective function must be evaluated via simulation considering long range uncertainty and flexibility in design Industrial and Manufacturing Systems Engineering 4

  5. Research Framework Real world application Simulation Optimization Identify key and long- range uncertainty (forecast and simulate future Black box simulation optimization condition) Optimization with long- range uncertainty Optimal Optimal design without design with flexibility flexibility Industrial and Manufacturing Systems Engineering 5

  6. Application: Hybrid Renewable Energy System Industrial and Manufacturing Systems Engineering 6

  7. Hybrid Renewable Energy Systems Solar Energy to load panel Energy to load Excess energy to Battery battery Excess energy to Electrolyzer Demand Energy Electrolyzer Fuel cell to load Hydrogen Hydrogen Hydrogen Tank Wind turbine Energy to load Sharafi, Masoud, and Tarek Y. ELMekkawy. "Multi-objective optimal design of hybrid renewable energy systems using PSO-simulation based approach." Renewable Energy 68 (2014): 67-79. Industrial and Manufacturing Systems Engineering 7

  8. Application: Hybrid Renewable Energy System Design of hybrid renewable energy system • Hybrid renewable system includes: PV panels, wind • turbine, battery storage, electrolyzer, and fuel cell Design variables: capacity of the components of the • system Identify the optimal capacity of each component to • minimize the expected discounted cost Industrial and Manufacturing Systems Engineering 8

  9. Research Framework Real world application Simulation Optimization Identify key and long- range uncertainty (forecast and simulate future Black box simulation optimization condition) Optimization with long- range uncertainty Optimal Optimal design without design with flexibility flexibility Industrial and Manufacturing Systems Engineering 9

  10. Simulation of Energy Demand for California, 2017-2036 Historical demand Forecasted demand Industrial and Manufacturing Systems Engineering 10

  11. Research Framework Real world application Simulation Optimization Identify key and long- range uncertainty (forecast and simulate future Black box simulation optimization condition) Optimization with long- range uncertainty Optimal Optimal design without design with flexibility flexibility Industrial and Manufacturing Systems Engineering 11

  12. Mathematical Model • Goal: Find the optimal design of hybrid renewable energy system • Minimize expected discounted costs • Investment • Replacement • Maintenance • Decision variables: Capacity of solar, wind, battery, fuel cells, electrolyzer, and hydrogen tank Industrial and Manufacturing Systems Engineering 12

  13. Simulation Optimization Randomly Monte Carlo Cost select decision simulation variables Update decision Cost variables Cost New decision Monte Carlo Cost variables simulation Industrial and Manufacturing Systems Engineering 13

  14. Research Framework Real world application Simulation Optimization Identify key and long- range uncertainty (forecast and simulate future Black box simulation optimization condition) Optimization with long- range uncertainty Optimal Optimal design without design with flexibility flexibility Industrial and Manufacturing Systems Engineering 14

  15. Optimal Solution Components Capacity (Giga Watt) Percentage (%) Solar panel 392 78 Wind turbine 146 Battery 89 17 Electrolyzer 104 - Hydrogen tank 322 - Fuel cell 138 4 Diesel - 1 Expected cost $ 40.66 trillion - Industrial and Manufacturing Systems Engineering 15

  16. Demand Fulfillment Analysis: 1 Scenario Industrial and Manufacturing Systems Engineering 16 16

  17. Parallel Coordinate Plot for Hybrid Renewable Design Industrial and Manufacturing Systems Engineering 17

  18. Research Framework Real world application Simulation Optimization Identify key and long- range uncertainty (forecast and simulate future Black box simulation optimization condition) Optimization with long- range uncertainty Optimal Optimal design without design with flexibility flexibility Industrial and Manufacturing Systems Engineering 18

  19. Design Optimization with Flexibility Case 1: One time design modification at 2027 Optimize additional High capacity for high demand demand profile Optimize additional Medium capacity for medium demand Optimize design demand profile over 2017-2027 Optimize additional Low capacity for low demand demand profile 2017 2027 2037 Industrial and Manufacturing Systems Engineering 19

  20. Design Optimization with Flexibility • Case 2: Two times design modifications at 2027 and 2032 • Stage 1: Optimize design for 2017-2027 • Stage 2: Optimize additional capacity for 2027-2032, given the optimal initial design • Stage 3: Optimize additional capacity for 2032-2037, given the optimal initial design and each optimal expansion amounts of stage 2 • Find the expected cost of design (initial design cost + average expansion cost at stage 2 + average expansion cost at stage 3) Industrial and Manufacturing Systems Engineering 20

  21. Expected Cost of Design with and without Flexibility Industrial and Manufacturing Systems Engineering 21

  22. Conclusions Design under long-range uncertainty • • Hybrid renewable energy system • Monte Carlo simulation of uncertainties (e.g., demand) • Optimize design with and without flexibility • Compare the design without flexibility with design with flexibility Funding through the NSF-funded Center for e-design • rgiahi@iastate.edu Industrial and Manufacturing Systems Engineering 22

  23. Reference Saleh, Joseph H., Daniel E. Hastings, and Dava J. Newman. "Flexibility in system • design and implications for aerospace systems." Acta astronautica 53.12 (2003): 927-944. Nahm, Yoon-Eui, Haruo Ishikawa, and Young-Soon Yang. "A flexible and robust • approach for preliminary engineering design based on designer's preference." Concurrent Engineering 15.1 (2007): 53-62. Kang, Namwoo, Alparslan Emrah Bayrak, and Panos Y. Papalambros. "A Real • Options Approach to Hybrid Electric Vehicle Architecture Design for Flexibility." ASME 2016 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2016. Sharafi, Masoud, and Tarek Y. ELMekkawy. "Multi-objective optimal design of • hybrid renewable energy systems using PSO-simulation based approach." Renewable Energy 68 (2014): 67-79. Industrial and Manufacturing Systems Engineering 23

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