Компенсация неустойчивости работы одноклетьевого стана холодной прокатки с использованием ПИД-регулятора
Keywords:
cold rolling, self-oscillations, transverse ribbing, natural frequencies, industrial experimentAbstract
In metallurgy, problems may arise during rolling due to the occurrence of selfoscillations. When rolling thin bands, self-oscillations occur, as a rule, at rolling speeds above a thousand meters per minute and at frequencies ranging from 100 to 600 Hz. On single-cell mills, when rolling particularly thin strips, self-oscillations can occur at speeds in the range of 100–200 meters per minute. At the same time, the oscillation frequencies are in the range of 9–10 Hz. The cause of selfoscillation is nonconservative forces in the rolling core or parametric fluctuations due to the occurrence of hysteresis. For low-frequency self-oscillations, the influence of the automatic control system (ATS) on the rolling process is significant. The CAP system is a PID controller in which each component, proportional, integral and differential, performs its specific function. In ferrous metallurgy, only a part of the components of the PID controller can be used in automatic control systems. For example, only the integral component or the proportional and integral component. This is due to the fact that in some cases, the differential component, which is designed to stabilize the rolling process, can lead to a loss of stability. Industrial studies have shown that the use of a proportional component in conjunction with an integral component leads to intense self-oscillation. The frequency range ranges from 9 to 11 Hz. When working using only the integral component of the PID controller, there are no self-oscillations with frequencies of 9–11 Hz, but instability appears in the frequency range from 0.2 to 1 Hz. Construction of numerical models of the mill using the MATLAB, MathCAD, and Anaconda packages (Python). For systems described by ordinary differential equations with constant coefficients, both linear and non-linear, it is necessary to use the differential component of the PID controller to stabilize rolling processes.References
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