Abstract

This article proposes an algorithm for solving the modeling problem with numerous variables in the MATLAB programming language. According to the developed algorithm, the MATLAB model calculates the values of solar insolation and ambient temperature of a particular location depending on five variables simultaneously: (1) time of day (τ), (2) day of the year (n), (3) tilt angle (β), (4) azimuth angle (γ) and (5) albedo (ρ). Meanwhile, the calculation results form a multidimensional database of solar insolation and ambient temperature of a given location for any values of the above variables and their combinations.An example of using the created database is given for calculating the annual total photovoltaic panel productivity and productivity dynamics on days of the year for latitude 41°2995′, which corresponds to a location in the city of Tashkent. The developed algorithm can be used to analyze/forecast the efficiency of solar plants using parameters from the database and other variables, such as temperature coefficient, dust content, nominal efficiency, wind speed, humidity, etc., as input data. The availability of data makes it possible to use data for both one-way and two-way reception of radiation as for bifacial photovoltaic panels. The database created based on the proposed program model can serve as a basis for comparison with other calculations or measurement databases and for studying or determining other parameters that affect possible differences in the compared data and creating advanced modeling algorithms for the solar irradiance.

中文翻译：

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MATLAB中数学模型的多元求解算法以创建环境参数数据库

摘要

本文提出了一种用于解决MATLAB编程语言中具有多个变量的建模问题的算法。根据开发的算法，MATLAB模型同时根据五个变量来计算特定位置的日照值和环境温度值：（1）一天中的时间（τ），（2）一年中的一天（n），（3）倾斜角（β），（4）方位角（γ）和（5）反射率（ρ）。同时，针对以上变量及其组合的任意值，计算结果形成了一个给定位置的日照和环境温度的多维数据库。在一年中的几天内，纬度为41°2995′，与塔什干市中的位置相对应。使用数据库中的参数和其他变量（例如温度系数，粉尘含量，标称效率，风速，湿度等）作为输入数据，可以将开发的算法用于分析/预测太阳能发电厂的效率。数据的可用性使得有可能像双面光伏板一样将数据用于辐射的单向和双向接收。基于建议的程序模型创建的数据库可以用作与其他计算或测量数据库进行比较以及研究或确定影响比较数据中可能差异的其他参数的基础，并可以为太阳辐照度创建高级建模算法。