Equations for Describing Behavior Tables in Thermodynamics Using Genetic Programming: Synthesizing the Saturated Water and Steam Table

Abstract

There are several tables with important data used in the calculus of different processes like machining tables, friction tables and thermodynamics processes tables, or as it is explored in this paper, the description of saturated water and steam table. We propose the generation of equations for describing the entire behavior of numerical values in a table using Genetic Programming (GP), when table data describes the variable behavior of a dependent function. This obtained equations simplify the calculus process without requiring several tables and allowing to work when tables are not available for a desired value of an independent variable, a common situation in thermodynamics. In this case it is tested the proposed algorithm for synthesizing the saturated water and steam table.

Automatic Generation of Programs for Data Tables with Batch Least Square Mamdani Inference Systems: Application in the AWG Table

“…Arrays of rows and columns for presenting information are called tables, they are used in several areas where is required to show value responses, relationships, scores, percentages, and statistical results, among others. Measurements obtained from input-output models and the evaluation of functions are information that could be also expressed using tables by describing the behavior of dependent variables in function of independent variables; i.e., its relation can be expressed as a mathematical function [1]. Tables increase the speed when accessing to information, but they need space so that tables be presented and this could make that all the required values be not always included forcing a person to perform interpolation or extrapolation operations for determining the missing values [1].…”

“…An alternative way for converting tables to programs is explored in [1] in this work tables are returned to equations by using Genetic Programming (GP) an optimizing algorithm for determining unknown structures using natural selection principles. But this technique uses a high complexity algorithm, which could demand long time for determining a suitable equation solution, depending from the data.…”