微分博弈  ,直接法  ,化工装置  ,数值优化 ," /> 微分博弈  ,直接法  ,化工装置  ,数值优化 ,"/> differential game, direct method, chemical plant, numerical optimization ,"/> <p class="MsoNormal"> <b><span>Numerical Algorithm for Chemical Plant Operation Optimization based on Differential Game </span></b><b>Direct Method</b><span></span>

Petrochemical Design ›› 2024, Vol. 41 ›› Issue (2): 14-21.doi: 10.3969/j.issn.1005-8168.2024.02-004

• DESIGN TECHNOLOGY • Previous Articles     Next Articles

Numerical Algorithm for Chemical Plant Operation Optimization based on Differential Game Direct Method

Zhu Qiang   

  1. SINOPEC Engineering Incorporation, Beijing, 100101
  • Received:2023-07-11 Online:2024-05-25 Published:2024-05-11

Abstract:

Based on the idea of distributed dynamic optimization, differential game and direct method of numerical optimization, this paper proposes a numerical algorithm for chemical plant operation optimization based on differential game direct method. Firstly, this paper constructs the mathematical proposition of chemical plant operation optimization based on differential game theory. Next, in order to ensure the real-time convergence of the large-scale dynamic optimization problem involved in this proposition, this paper decomposes the complex large-scale minimax problem in the differential game into several simple small-scale operation optimization sub-problems that are solved alternately. After that, the orthogonal collocation method is used to discretize the decomposed operation optimization sub-problems into nonlinear programming problems, and the solver is used to solve the above nonlinear programming problems in turn until the final optimization results converge successfully. The algorithm effectively improves the real-time, convergence, accuracy and optimality of the solution to chemical plant operation optimization problem, and provides technical support for the improvement of chemical plant economic benefits.

Key words:

differential game')">"> differential game, direct method, chemical plant, numerical optimization