Open AccessInvestigation of adequacy of mathematical model of the „crane-load” system with frequency-controlled drive
Author(s) -
Yuriy Romasevych,
В. С. Ловейкін,
V. Krushelnitsky,
V. Makarets
Publication year - 2021
Publication title -
energetika ì avtomatika
Language(s) - English
Resource type - Journals
ISSN - 2223-0858
DOI - 10.31548/energiya2021.02.069
Subject(s) - rope , control theory (sociology) , mathematical model , nonlinear system , voltage , standard deviation , differential equation , frequency deviation , computer science , engineering , mathematics , structural engineering , automatic frequency control , electrical engineering , statistics , mathematical analysis , physics , control (management) , quantum mechanics , artificial intelligence
In this work, experimental studies were conducted to evaluate the adequacy of the model of the „crane-load” system movement. For research, a laboratory installation (trolley with a load on a flexible suspension), a frequency converter, and encoders were used to measure the position of the trolley and the angle of deviation of the rope with the load from the vertical. Six experiments were performed by varying the duration of the increase and decrease of the frequency of the supply voltage of the trolley drive from 0.5 to 3 s. The increase and decrease of frequency voltage occurred according to a linear law. The data obtained during the experiments were compared with those that correspond to the mathematical model of the „crane-load” system. The mathematical model uses the Kloss equation, and also takes into account the change of frequency of the supply voltage of the drive from the condition of ensuring the overload capacity of the drive. Estimation of deviation of experimental data with results of numerical integration of mathematical model of the movement of the „crane-load” system was carried out based on the coefficient of variation (quantitative analysis) and graphic dependences (qualitative analysis). The obtained results showed the adequacy of the mathematical model of the motion of the „crane-load” system in the form of a system of nonlinear differential equations. Key words: mathematical model, dynamic system, frequency-controlled drive