A rapid-convergent particle swarm optimization approach for multiscale design of high-permeance seawater reverse osmosis systems

Ke Chen, Jiu Luo, Junzhi Chen, Yutong Lu, Yi Heng
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Abstract

Directly solving sophisticated partial differential equation constrained optimization problems is not only extremely time-consuming, but also very hard to find unique optimal solutions. Here, we propose stable and efficient surrogate models for seawater reverse osmosis desalination processes that enable thorough quantitative description of hydrodynamics and local transport characteristics in narrow flow channels. Without iteratively solving complex multi-physics simulation problem taking several hours, the proposed multi-scale design optimization framework significantly reduces the problem complexity by computing the surrogate models in seconds. Moreover, a fast-converging active subspace particle swarm optimization framework is proposed to address the optimal design problem. Compared to the standard particle swarm optimization algorithm, the proposed method enhances the average optimum by 14% and the standard deviation of optimum results for multiple runs is reduced by no less than ten times. The optimized desalination system achieves 9% reduction on energy consumption and 30% improvement on water production efficiency. Ke Chen and colleagues address the optimal design problem for the multiscale design of high-permeability seawater reverse osmosis desalination systems, aiming to develop a stable and efficient surrogate model. This technique enables a quantitative description of hydrodynamics processes and local transport characteristics in narrow flow channels.

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用于高渗透率海水反渗透系统多尺度设计的快速收敛粒子群优化方法。
直接求解复杂的偏微分方程约束优化问题不仅非常耗时,而且很难找到唯一的最优解。在此,我们为海水反渗透淡化过程提出了稳定、高效的替代模型,该模型能够全面定量描述狭窄流道中的流体动力学和局部传输特性。所提出的多尺度设计优化框架无需反复求解复杂的多物理场仿真问题(耗时数小时),只需在几秒钟内计算代用模型,从而大大降低了问题的复杂性。此外,还提出了一种快速收敛的主动子空间粒子群优化框架来解决优化设计问题。与标准粒子群优化算法相比,所提出的方法将平均最优结果提高了 14%,多次运行最优结果的标准偏差降低了不少于 10 倍。优化后的海水淡化系统能耗降低了 9%,产水效率提高了 30%。
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