Mathematical model of integrated thermal apparatus

Mathematical model for the integrated thermal apparatus was developed. It consists of program modules from which individualfurnace model can be generated. For the model generation elementary balance method was used. Generation of the individual modelincludes model formulation and parameters determination. Model formulation is based on first principles, heuristics and empirical results.Parameters determination is generally based on priory information, but it has to take into account specific conditions. The developed modelwas adapted for real time applications. For quantitative application developed model has to be calibrated. For the calibration theoperational furnace can be used. For model calibration of not existing furnace the priory knowledge and physical model can be used.Presented model was calibrated on experimental furnace. The results were gained by simulations

FRACTIONAL-ORDER STATE SPACE MODELS

Abstract: In this paper we will present some alternative types of mathematical description and methods of solution of the fractional-order dynamical system in the state space. We point out the difference in the true sense of the name „state “ space for the integer-order and fractional-order system and the importance of the initialization function for the fractionalorder system. Some implications concerning the state feedback control theory are discussed. Presented are the results of simulations. Key words: fractional-order system, state space model, initialization problem

Simulace prediktivního řízení pro rotační pec produkující slinek

The paper describes the design of predictive control algorithm for rotary furnace control. At the beginning of the paper, there are defined the main aims of the predictive control. Then, the functional diagram using artificial neural networks as a reference model is proposed and, eventually, the functionality of described approach is demonstrated on a simulated example.V příspěvku je popsán návrh algoritmu prediktivního řízení rotační pece na výrobu magnezitového slinku. Jsou definovány cíle prediktivního řízení a navrženo jeho funkční schéma s využitím umělé neuronové sítě jako referenčního modelu. Na simulovaném příkladu je ověřena provozuschopnost návrhu

MATHEMATICAL MODEL OF THE THEORETICAL TEMPERATURE OF THE BLAST FURNACE

Abstract: In this contribution we will present a description of the mathematical model of the blast furnace theoretical temperature combustion. The developed mathematical model served for analysis, monitoring, and control of the theoretical temperature. At the end we will present the results of analysis obtained with the model at parameter optimisation of the mixed blast furnace wind parameters. Key words: blast furnace, theoretical combustion temperature, mathematical model.