Open AccessOptimal Calculation of Solid Propellant Burning Equilibrium Ingredients Based on Genetic Algorithm
Author(s) -
Hu Kuan,
Linlin Zhang,
Xinlong Chang,
Chun-wen Wang
Publication year - 2020
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1584/1/012026
Subject(s) - lagrange multiplier , dimension (graph theory) , mathematical optimization , propellant , genetic algorithm , curse of dimensionality , multiplier (economics) , computer science , mathematics , dimensionality reduction , independence (probability theory) , algorithm , engineering , statistics , artificial intelligence , pure mathematics , economics , macroeconomics , aerospace engineering
To aim at defects caused by using Lagrange multiplier to solve equilibrium ingredients in engineering, genetic algorithm based on reduction of dimensionality and mixture rank are adopted in this paper. In genetic algorithm, design dimension is decreased through independence analysis of design variables, and individuals are ranked with violation degree and violation times simultaneously. The method in this paper can solve the problems brought by Lagrange multiplier method, which were unable to effectively deal with quantity equal constraints in equilibrium ingredients optimization and increased the number of unknown variables and calculation difficulties for complex propellant. Moreover, the method can also avoid the problem of computing termination on account of minus value during ingredients calculation, and can be easier to get global optimal solution. Furthermore, an integrated calculation frame of equilibrium ingredients is established by combining equilibrium ingredients optimization model with burning temperature model. Finally, an example is used to verify the method’s validity and feasibility.