一种基于伪Wigner-Ville分析的动态优化问题网格重构策略

徐炜峰; 江爱朋; 王浩坤; 蒋恩辉; 丁强; 高寒寒

doi:10.11949/j.issn.0438-1157.20180805

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一种基于伪Wigner-Ville分析的动态优化问题网格重构策略

过程系统工程 | 更新时间：2020-06-24

- 一种基于伪Wigner-Ville分析的动态优化问题网格重构策略
- A grid reconstruction strategy based on pseudo Wigner-Ville analysis for dynamic optimization problem
- 化工学报 2019年第S1期页码：158-167
- 作者机构：
  
  杭州电子科技大学自动化学院，浙江杭州 310018
- 作者简介：
  
  徐炜峰（1994—），男，硕士研究生，xuweifeng61@163.com
  江爱朋（1976—），男，教授，jiangaipeng@163.com
- 基金信息：
  
  国家自然科学基金项目(61374142);浙江省公益计划项目(2017C31065);浙江省自然科学基金项目(LY16F030006);杭州电子科技大学核心课程建设项目(GK168800299024-012)
- DOI：10.11949/j.issn.0438-1157.20180805
  中图分类号： TP 273.1
- 收稿：2018-07-10，
  
  修回：2018-09-25，
- 稿件说明：
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徐炜峰, 江爱朋, 王浩坤, 蒋恩辉, 丁强, 高寒寒. 一种基于伪Wigner-Ville分析的动态优化问题网格重构策略[J]. 化工学报, 2019, 70(S1): 158-167

XU Weifeng, JIANG Aipeng, WANG Haokun, JIANG Enhui, DING Qiang, GAO Hanhan. A grid reconstruction strategy based on pseudo Wigner-Ville analysis for dynamic optimization problem[J]. CIESC Journal, 2019, 70(S1): 158-167
徐炜峰, 江爱朋, 王浩坤, 蒋恩辉, 丁强, 高寒寒. 一种基于伪Wigner-Ville分析的动态优化问题网格重构策略[J]. 化工学报, 2019, 70(S1): 158-167 DOI： 10.11949/j.issn.0438-1157.20180805.

XU Weifeng, JIANG Aipeng, WANG Haokun, JIANG Enhui, DING Qiang, GAO Hanhan. A grid reconstruction strategy based on pseudo Wigner-Ville analysis for dynamic optimization problem[J]. CIESC Journal, 2019, 70(S1): 158-167 DOI： 10.11949/j.issn.0438-1157.20180805.

摘要

为了解决控制向量参数化方法逼近精度和计算时间之间的矛盾，提出了一种基于伪Wigner-Ville时频分析的控制向量参数化方法。该方法首先给定较少的网格进行第一次优化迭代，快速获得控制变量的大致轨迹。然后通过伪Wigner-Ville分析得出不同时间网格节点瞬时频率变化对性能指标的影响，籍此对原有网格节点进行重构，包括对时间节点的消除、细化。并且结合变时间节点控制向量参数化方法的思想，将瞬时频率为极大值时对应的时间节点作为待优化参数，与控制变量一同进行求解优化，从而找到准确的最优时间切换点。三个经典的化工反应实例用于验证所提方法，计算结果表明：与传统的控制向量参数化方法和文献结果相比，所提方法可以更有效地重构时间网格，找到准确的时间切换点，不仅计算成本低，而且计算精度更出色。

Abstract

In order to solve the contradiction between approximation accuracy and computation time of control vector parameterization (CVP) method

a control vector parameterization method based on pseudo Wigner-Ville time-frequency analysis is proposed. The method first gives a small number of meshes for the first optimization iteration

and quickly obtains the approximate trajectory of the control variables. Then

through the pseudo Wigner-Ville analysis

the influence of the instantaneous frequency change of the mesh nodes on the performance index is obtained

and the original mesh nodes are reconstructed based on above analysis

including the elimination and refinement of the time nodes. And then combined with the variable time node CVP method

the corresponding time nodes with the maximum instantaneous frequency are used as parameters

which are optimized together with the control variables to find accurate time switching points. Three classical chemical reaction examples are used to verify the proposed method. The calculation results show that compared with the traditional CVP method and literature results

the proposed method can reconstruct the time grid more effectively and find more accurate time switching points

leading to lower calculation cost and more accurate solution.

关键词

Keywords

references

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