Multiobjective Optimal Design of Energy Supply Systems Based on Relative Robustness Criterion
Multiobjective Optimal Design of Energy Supply Systems Based on Relative Robustness Criterion
复制标题
基于相对鲁棒性准则的供能系统多目标优化设计
DOI：
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发表时间：
2002
期刊：
影响因子：
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通讯作者：
T. Wakui
中科院分区：
文献类型：
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作者：
M. Fujita;R. Yokoyama;T. Wakui
摘要 提出一种基于相对鲁棒性准则的鲁棒优化设计方法，对能源供应系统进行单元规模调整，使其在能源需求不确定的情况下具有经济鲁棒性。确定设计变量或设备容量的值，以及操作变量或公用事业合同需求和能量流量的值，以最小化年度总成本中的最大归一化遗憾或最大遗憾率并满足所有可能的能源需求。该优化问题被表述为多级非线性规划问题，通过分数式、双层和线性规划的方式反复评估最大后悔率最优值的上下界来获得其解。通过对热电联产系统的案例研究，阐明了基于相对稳健性准则的稳健优化设计的特征。
Abstract A robust optimal design method, based on the relative robustness criterion, is proposed to conduct the unit sizing of energy supply systems, so that they are robust economically under uncertain energy demands. The values of design variables or equipment capacities, as well as those of operation variables or utility contract demands and energy flow rates, are determined to minimize the maximum normalized regret or the maximum regret rate in the annual total cost and satisfy all the possible energy demands. This optimization problem is formulated as a multi-level nonlinear programming problem, and its solution is obtained by repeatedly evaluating the upper and lower bounds for the optimal value of the maximum regret rate by means of the fractional, the bi-level and the linear programming. Through a case study on a cogeneration system, features of the robust optimal design, based on the relative robustness criterion, are clarified.