感应炉系统温度动力学建模与控制

R. Ristiana, A. Syaichu-Rohman, P. Rusmin
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引用次数: 5

摘要

本文阐述了感应炉温度动力学的建模与控制。采用感应炉熔炼金属,将原料废钢加工成铁素体含量0.22 wt %的碳。感应炉温度的动态响应影响着所得产品。因此,需要温度动力学控制器来产生期望的过程响应。感应炉系统由电系统动力学和热系统动力学组成。电气系统的动力学以电路的形式表示感应炉系统,即带并联谐振电路的馈流逆变器。同时,热系统动力学代表了热能传递过程,它是根据能量平衡原理发展起来的,包括产生的热量和热损失。感应炉系统动力学建模为二阶系统,时间常数线圈比时间常数温度快1000倍。因此,在忽略时间常数线圈的情况下,感应炉系统动态模型可以转化为一阶非线性系统。然后,通过替换变量得到线性方程组。通过调节PWM控制感应电炉的输入功率,实现感应电炉的温度控制。PI控制器设计了三种情况,即线性模型带线性PI控制器,饱和线性模型带线性PI控制器,饱和线性模型带抗上弦PI控制器。每种情况都用Simulink进行了仿真。为了得到合适的规格,温度应控制在912摄氏度。当最大超调量为7%,上升时间为2.9秒时,可以获得最佳效果。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Modeling and control of temperature dynamics in induction furnace system
This paper explains modeling and control of temperature dynamics on induction furnace. Induction furnace is used for melting metal to process raw material scrap into steel ferrit rate 0.22 wt % carbons. The dynamics response of the induction furnace temperature affects the resulting product. Therefore, the controller of temperature dynamics is required to produce the desired process response. The induction furnace systems consist of electrical and thermal system dynamics. The dynamics of the electrical system represents the induction furnace system in the form of an electric circuit i.e. fed current inverter with a parallel resonant circuit. Meanwhile, the thermal system dynamics represents the thermal energy transfer process, which is developed with the principle of energy balance, including heat generated energy and heat loss. Induction furnace system dynamics is modelled in an order 2 system, with a time constant coil 1000 times faster than time constant temperature. Thus, by ignoring the time constant coil, induction furnace system dynamic model can be transformed into a first order nonlinear system. Then, linear system can be obtained by making a replacement variable. Induction furnace temperature control has been implemented by adjusting the PWM to control the input power to the induction furnace. PI controller is designed in three cases, namely linear model with linear PI controller, saturated linear model with linear PI controller, and saturated linear model with anti-windup PI controller. Each case is simulated by Simulink. To get the appropriate specifications, the temperature should be controlled at 912 Celsius degree. The best results can be achieved with maximum overshoot is 7% and the rise time is 2.9 seconds.
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