Robust Optimal Design of a Gas Turbine Cogeneration Plant Based on Minimax Regret Criterion

1999 ◽  
Author(s):  
Ryohei Yokoyama ◽  
Koichi Ito
Keyword(s):  
Energy Supply ◽  
Minimax Regret ◽  
Cogeneration Plant ◽  
Total Cost ◽  
Energy Demands ◽  
Robust Optimal Design ◽  
Annual Total ◽  
Minimax Regret Criterion ◽  
Maximum Regret ◽  
Annual Total Cost

A robust optimal design method based on the minimax regret criterion is proposed for unit sizing of energy supply plants so that they are robust economically against the uncertainty in energy demands. Equipment capacities and utility contract demands as well as energy flow rates are determined to minimize the maximum regret in the annual total cost and to satisfy all the possible energy demands. This optimization problem is formulated as a kind of multilevel linear programming one, and its solution is derived by repeatedly evaluating lower and upper bounds for the optimal value of the maximum regret in the annual total cost. Through a case study on a gas turbine cogeneration plant for district energy supply, it is shown that determining equipment capacities appropriately is more important under uncertain energy demands rather than certain ones. It is also shown that the ratio of power generating capacity to total power supply capacity decreases with an increase of the uncertainty in energy demands.

Multiobjective Robust Optimal Design of a Gas Turbine Cogeneration Plant Under Uncertain Energy Demands

2001 ◽  
Author(s):  
Ryohei Yokoyama ◽  
Koichi Ito
Keyword(s):  
Optimal Design ◽  
Energy Saving ◽  
Gas Turbine ◽  
Energy Supply ◽  
Design Method ◽  
Primary Energy ◽  
Weighted Sum ◽  
Cogeneration Plant ◽  
Energy Demands ◽  
Robust Optimal Design

A multiobjective robust optimal design method based on the minimax regret criterion is proposed for sizing equipment of energy supply plants so that they are robust in economic and energy saving characteristics under uncertain energy demands. Equipment capacities and utility contract demands as well as energy flow rates are determined to minimize a weighted sum of the maximum regrets in the annual total cost and primary energy consumption, and satisfy all the possible energy demands. This optimization problem is formulated as a kind of multilevel linear programming one, and its solution is derived by repeatedly evaluating lower and upper bounds for the optimal value of the weighted sum of the maximum regrets. Through a case study on a gas turbine cogeneration plant for district energy supply, the trade-off relationship between the robustness in economic and energy saving characteristics is clarified.

Robust Optimal Design in Multistage Expansion of a Gas Turbine Cogeneration Plant Under Uncertain Energy Demands

2003 ◽  
Author(s):  
Ryohei Yokoyama ◽  
Koichi Ito ◽  
Tatsuhiro Murata
Keyword(s):  
Optimal Design ◽  
Gas Turbine ◽  
Energy Supply ◽  
Design Method ◽  
Design Stage ◽  
Cogeneration Plant ◽  
District Energy ◽  
Expansion Planning ◽  
Energy Demands ◽  
Robust Optimal Design

In designing cogeneration plants, the estimation of energy demands is an important work. However, many conditions under which energy demands are estimated have some uncertainty at the design stage. Therefore, designers should consider that energy demands have some uncertainty, evaluate the robustness in the performance under uncertain energy demands, and design plants rationally in consideration of the robustness. The authors have developed a robust optimal design method based on the minimax regret criterion for the single-stage planning of energy supply plants. In this paper, the method is extended for the multistage expansion planning. Under uncertain energy demands increasing stepwise, equipment capacities and utility contract demands as well as energy flow rates for each expansion period are determined in consideration of their sequential relationships to minimize the maximum regret in the annual total cost and satisfy all the possible energy demands for all the expansion periods. Through a case study on a gas turbine cogeneration plant for district energy supply, features of the economic robustness and the robust optimal design are clarified in relation to the uncertainty in energy demands and the numbers of years for the expansion periods.

Robust Optimal Design in Multistage Expansion of a Gas Turbine Cogeneration Plant Under Uncertain Energy Demands

2004 ◽  
Vol 126 (4) ◽  
pp. 823-830 ◽  
Author(s):  
Ryohei Yokoyama ◽  
Koichi Ito ◽  
Tatsuhiro Murata
Keyword(s):  
Optimal Design ◽  
Gas Turbine ◽  
Energy Supply ◽  
Design Method ◽  
Design Stage ◽  
Cogeneration Plant ◽  
District Energy ◽  
Expansion Planning ◽  
Energy Demands ◽  
Robust Optimal Design

In designing cogeneration plants, the estimation of energy demands is an important work. However, many conditions under which energy demands are estimated have some uncertainty at the design stage. Therefore, designers should consider that energy demands have some uncertainty, evaluate the robustness in the performance under uncertain energy demands, and design plants rationally in consideration of the robustness. The authors have developed a robust optimal design method based on the minimax regret criterion for the single-stage planning of energy supply plants. In this paper, the method is extended for the multistage expansion planning. Under uncertain energy demands increasing stepwise, equipment capacities and utility contract demands as well as energy flow rates for each expansion period are determined in consideration of their sequential relationships to minimize the maximum regret in the annual total cost and satisfy all the possible energy demands for all the expansion periods. Through a case study on a gas turbine cogeneration plant for district energy supply, features of the economic robustness and the robust optimal design are clarified in relation to the uncertainty in energy demands and the numbers of years for the expansion periods.

Optimal Sizing of a Gas Turbine Cogeneration Plant in Consideration of Its Operational Strategy

1994 ◽  
Vol 116 (1) ◽  
pp. 32-38 ◽  
Author(s):  
R. Yokoyama ◽  
K. Ito ◽  
Y. Matsumoto
Keyword(s):  
Programming Problem ◽  
Gas Turbine ◽  
Mixed Integer ◽  
Turbine Plant ◽  
Operational Strategies ◽  
Integer Linear Programming Problem ◽  
Energy Demands ◽  
Annual Total ◽  
Planning Problems ◽  
Annual Total Cost

An optimal planning method is proposed for the fundamental design of cogeneration plants. Equipment capacities and utility maximum demands are determined so as to minimize the annual total cost in consideration of the plants’ annual operational strategies for the variations of both electricity and thermal energy demands. These sizing and operational planning problems are formulated as a nonlinear programming problem and a mixed-integer linear programming problem, respectively. They are solved efficiently in consideration of their hierarchical relationship by a penalty method. A numerical example about a gas turbine plant is given to ascertain the validity and effectiveness of the proposed method.

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