Nonlinear equation system solving method and device based on chemical equilibrium model

Abstract

The invention relates to the technical field of chemical equilibrium, in particular to a nonlinear equation system solving method and device based on a chemical equilibrium model. The method comprisesthe following steps: generating a global search solution according to to-be-optimized parameters, and enabling ng global search solutions to form a global search set Q; if the fitness value reductionamount of the global search solution in recent k iterations is smaller than a threshold beta, calling an SQP algorithm to perform local fine adjustment, otherwise, generating nl local search solutions; when the fitness value of the local search solution is smaller than that of the corresponding global search solution, setting the local search solution as a new global search solution; generating aglobal search solution in the whole solution space; according to the fitness value, screening out ng global search solutions from the newly generated global search solutions and Q, updating Q, and storing the global search solutions with the fitness value not greater than a threshold mu to S; when the fitness evaluation frequency is greater than mf, outputting S; otherwise, returning to the localsearch step to continue iteration. According to the method, the efficiency of searching multiple solutions is improved, and the distribution characteristics of the solutions are described.

Description

technical field [0001] The invention relates to the technical field of chemical balance, in particular to a method and device for solving a nonlinear equation system based on a chemical balance model. Background technique [0002] Solving multiple solutions of nonlinear equation systems in chemical equilibrium systems is of great significance for analyzing chemical equilibrium systems. For example, to guide the research and development personnel to understand the different proportions of the various components in the chemically balanced product under different external conditions. [0003] For example, for a certain chemical equilibrium system, the nonlinear equation system consists of m nonlinear equation systems. [0004] [0005] f in formula (1) i (x 1 ,...,x d )=0, (1<i<m) is the i-th nonlinear equation with d independent variables. x j ,(1<j<d) is the jth independent variable. [0006] Currently, sequential quadratic programming (SQP) and evolutio...

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Problems solved by technology

[0011] The above method has the following disadvantages: 1. The performance of the sequence quadratic programming algorithm is greatly affected by the initial guess value, and it is easy to fall into a local optimal solution, and it is impossible to find multiple solutions of the nonlinear equation system

2. The evolutionary intelligent optimization algorithm has limited ability to find multiple solutions at the same time, and cannot find multiple solutions at the same time

[0014] The local search efficiency of the DR-JADE method is low, and excessive computing resources are consumed in order to improve the accuracy of the found solutions, resulting in a small number of solutions found under the condition of limited computing resources, and the distribution characteristics of the solutions cannot be described

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