Jan Terpak

• Technical University of Košice

Hot metal is produced in a blast furnace. Subsequently, the hot metal is loaded from the blast furnace into a torpedo car and transported to the ladle, where the desulfurization process of the hot metal is realized. After desulfurization, the hot metal is poured from the ladle into the oxygen converter. The temperature of the hot metal has an impac...

Hot metal is loaded from the torpedo car to the ladle, where desulfurization is realized. The main aim of the desulfurization process is to reduce the amount of sulfur in hot metal. During this process, the temperature of desulfurized hot metal is changed. The continuous measurement of this temperature during the desulfurization process is not impl...

This paper deals with the analysis of the time-fractional diffusion-wave equation as one-dimensional problem in a large plane wall, long cylinder, and sphere. The result of the analysis is the proposal of one general mathematical model that describes various geometries and different processes. Finite difference method for solving the time-fractiona...

In the steel production process in the LD converter, it is important to have information about the melt temperature. The temperature and chemical composition of the steel are important parameters in this process in terms of its completion. During the process, continuous measurement of the melt temperature and thus also information about the end of...

The underground coal gasification is a continually evolving technology, which converts coal to calorific gas. There are many important parameters in this technology, which are difficult to measure. These parameters include the underground cavity growth, amount gasified coal, and the leakage of input and output gaseous components into the surroundin...

This paper deals with the application of the fractional calculus as a tool for mathematical modeling and analysis of real processes, so called fractional-order processes. It is well-known that most real industrial processes are fractional-order ones. The main purpose of the article is to demonstrate a simple and effective method for the treatment o...

This contribution deals with fractional heat conduction models and their applications. A brief historical overview of the authors who have dealt with the heat conduction equation is given in the introduction. The one-dimensional heat conduction models using integer-and fractional-order derivatives are listed. Numerical methods of solution of the he...

In this chapter, we investigate the dynamics of fractional order models in bio-medical. First, we examine the fractional order model of HIV Infection and analyze the stability results for non-infected and infected equilibrium points. Then, we concentrate on the fractional order tumor growth model and establish a sufficient condition for existence a...

The subject of this article is the service-oriented architecture utilization in the design and implementation of a web service that is intended to perform selected thermochemical calculations for chemical reactions. Computing functions allow the chemical reaction calculations, such as molar heat capacity, enthalpy, entropy and Gibbs free energy. In...

The paper deals with providing and use of thermochemical calculations for chemical reaction in a web service form. In the introductory part, sources of thermochemical data are analyzed being currently available in various forms from books to web applications or services. Next section is devoted to selected thermochemical calculations of chemical re...

The article discusses the utilization of the service oriented architecture using the web service for creating the mathematical models in the area of processing the raw materials. In the introduction there are described objects and processes from the area of processing the raw materials and there is described the creation of their mathematical model...

The contribution deals with the issue of the application web services orchestration and choreography in the creation of mathematical models. The introduction describes importance of mathematical models and their application in the fields of design, optimization, and control of processes. Choreography and orchestration of web services are essential...

The contribution deals with the fractional heat conduction models and their use for determining thermal diffusivity. A brief historical overview of the authors who have dealt with the heat conduction equation is described in the introduction of the paper. The one-dimensional heat conduction models with using integer- and fractional-order derivative...

The web service ThermoChemDC is designed to address selected thermochemical calculations of chemical reactions for the purposes of process modelling in the acquisition and processing of raw materials. The first version of the web service contains the calculation of the heat capacity change, the calculation of the heat of reaction, the calculation o...

The article deals with the heat conduction modeling. A brief historical overview of the authors who have dealt with the heat conduction and overview of solving methods is listed in the introduction of article. In the next section a mathematical model of one-dimensional heat conduction with using derivatives of integer- and fractional-order is descr...

The article deals with the web service, which is proposed to support specific thermochemical calculations. Creation of mathematical models and their use in process control of the raw materials processing requires extensive support of thermochemical calculations. In the beginning of the article is introduced analysis of the current state of software...

This contribution deals with the mathematical modeling of one-dimensional heat conduction using integer- and fractional-order derivatives. In the introduction of contribution the processes in a field of the raw materials processing in which an important role is the process of heat transfer by conduction, are analyzed. An overview of the description...

The paper deals with testing of the web service ThermoChemDC intended for thermochemical calculations by means of a comparison of the results of this service with other sources. The service is based on the use of other web service TermPropService intended for thermochemical properties, which for its operation utilizes a comprehensive database infra...

Article is dedicated to creating and implementing a web service ThermoChemDC designed to address selected thermochemical calculations of chemical reactions for the purposes of process modeling in the acquisition and processing of raw materials. These calculations include the calculation of the heat capacity change, calculate the heat of reaction, c...

Real objects in general are fractional-order (FO) systems, although in some types of systems the order is very close to integer order (IO). Since major advances have been made in the theory and practice of the identification of FO controlled objects and in the design of FO controllers, it is possible to consider also the real order of the dynamical...

The number of studies on the control of fractional-order processes—processes having dynamics described by differential equations of arbitrary order—has been increasing in the past two decades and it is now ubiquitous. Various methods have emerged and have been proven to effectively control such processes—usually resulting in fractional-order contro...

As it results from many research works, the majority of real dynamical objects are fractional-order systems, although in some types of systems the order is very close to integer order. Application of fractional-order models is more adequate for the description and analysis of real dynamical systems than integer-order models, because their total ent...

Proportional-Integral-Derivative (PID) controllers have been the heart of control systems engineering practice for decades because of its simplicity and ability to satisfactory control different types of systems in different fields of science and engineering in general. It has receive widespread attention both in the academe and industry that made...

Real objects in general are fractional-order (FO) systems, although in some types of systems the order is very close to integer order (IO). Since major advances have been made in the theory and practice of the identification of FO controlled objects and in the design of FO controllers, it is possible to consider also the real order of the dynamical...

The article deals with the mathematical model of a one-dimensional heat conduction, which is applied to the experimental determination of thermal diffusivity, respectively specific heat capacity. In the introduction of a contribution are analyzed the processes in a field of the processing of raw materials in which an important role is the process o...

This contribution deals with the disclosure of the thermochemical properties of individual substances by using a service-oriented architecture through a web service that is implemented in the client environment MATLAB. The basic principles of service-oriented architecture and its use by web service are described and a specific web service that prov...

Linear passive and active electric circuits can be viewed as two-port networks - having two readily-accessible electrical terminals usually denoted as input and output ports. Two-port networks, also known as four-terminal networks, are usually represented using matrices which allow the network to be analyzed easily without getting through internal...

The contribution deals with proposal and realization of web service assigned for generation of form's input elements select and radio type. In introduction it offers short survey of actual frameworks with similar possibilities and determinates suggested web service in regard to some frameworks' disadvantages. The web service allows creation of elem...

Providing and utilization of web information on thermochemical data is described. Currently available thermochemical data such as heat of formation and coefficients for molar heat capacity, enthalpy and entropy calculation are analyzed. Their sources are NASA polynomials, Chemical Abstracts and literature data. The web service has a number of parti...

The paper is devoted to application of service oriented architecture in calculation of thermochemical properties. It describes for this purpose designed web service, its features and possibilities of utilization as well as basic principles of service oriented architecture that are used in web service design. As basic data sources were used NASA pol...

A great deal of modern methods for investigation, monitoring and control of the processes in the area of mining and processing of earth resources utilize approaches based upon modeling of these processes using the mathematical or physical models. As it results from the last research works, majority of the real processes in general are fractional-or...

In general, heat transfer is expressed by heat flux which depends on thermal resistance and temperature difference. Thermal resistance is determined by heat transfer area and coefficient of heat transfer. In case of convection heat transfer are considered heat transfer more often between liquids or liquid and grain material what is specific for are...

The contribution deals with the creation of mathematical model and its implementation in MATLAB environment in the form of simulation model, which is proposed mainly for analysis of thermal processes in thermo-insulating food packaging. The mathematical model of heat transfer in food packaging is described in the introduction of this paper. It is b...

This contribution deals with the creation of mathematical model of biomass gasification and combustion. In the introduction of contribution an analysis is given of biomass in terms of its occurrence, composition, and caloric value and also in terms of processes taking place with the biomass gasification and combustion. The idea for a complex model...

Real objects in general are fractional-order (FO) systems, although in some types of systems the order is very close to an integer order. Also application of FO models is more adequate for the description of dynamical systems than integer-order models. This paper is devoted to the analogue electronic realization of the FO systems, e.g. controlled o...

The contribution is devoted to graphic web presentation of selected thermochemical properties, e.g. molar heat capacity courses, using service oriented architecture (SOA) and web service for thermodynamic calculation support. In the introduction paper specifies graphic support (GD library). Solution of application is based on taking advantage of gr...

Real objects in general are fractional-order systems, although in some types of systems the order is very close to an integer order. Since major advances have been made in this area in the last decades, it is possible to consider also the real order of the dynamical systems by using fractional order of the differential equations. Such models are mo...

Proposed article deals with simulation model of heat exchanger and its comparison with real equipment. Heat exchanger is an equipment which is used for heating-up one medium by the other. Indirect heat transfer is considered i.e. medium are not in direct contact and heat transfer occurs through the wall. Mentioned heat exchanger is typical for area...

A control model of the steel casting process will be proposed using fractional order differential equations (FDE) and the orthogonal distance fitting (ODF). These two mathematical approaches will be used for creating a relationship between the speed of steel casting and the measured temperature of the steel strand in a critical place of the continu...

The contribution deals with modeling of heating process by phase transition. There are described real systems, which contain substances with multiple phases. Typical substance in raw material extracting and processing area is iron that in solid phase has a four modification. One phase is characterized usually with multiple temperature intervals for...

The contribution deals with proposal of conception and structure of two cooperating databases - preparatory and operating - for purposes of administration of database infrastructure of web service designed for thermodynamic calculations. The substances' data structure is in the both databases the same. Operating database directly supports web servi...

1 5/2010 www.strojarstvo.sk Metódy na riešenie Metódy na riešenie Metódy na riešenie Metódy na riešenie diferenciálnych rovníc neceločíselné-ho rádu pre simulačné účely TEXT: prof. pokro-ky v danej oblasti, je možné zohľadňovať reálny rád aj pri popise dynamických systémov použitím diferenciálnych rovníc neceločíselného rádu. V takých prípadoch sú...

In this paper we present the main features of an online system for real-time monitoring of the bottom part of the blast furnace. Firstly, monitoring concerns the furnace walls and furnace bottom temperatures measurement and their visualization. Secondly, monitored are the heat flows of the furnace walls and furnace bottom. In the case of two measur...

The blast-furnace wind from hot-blast stoves is a significant factor of the blast furnace functioning. The technology was analyzed in which the hot wind from hot-blast stoves is not mixed with the cool wind to a constant wind temperature, but is blown directly into the blast furnace. However, it is necessary to compensate for the changes of the the...

This paper deals with quality control of the electro-discharge texturing. Automobile manufacturers have strict requirements for micro-geometry parameters of rolled metal plates from contractors of body sheet metal. The micro-geometry of the roll surface has significant influence on the final quality of the rolled metal plate. In this paper electro-...

This paper deals with quality control of the electro-discharge texturing. Automobile manufacturers have strict requirements for micro-geometry parameters of rolled metal plates from contractors of body sheet metal. The micro-geometry of the roll surface has significant influence on the final quality of the rolled metal plate. In this paper electro-...

Manipulation process is connecting of our macroscopic world to the microscopic or nanoscopic one. Manipulation can occur in a variety of ways. Outside manipulation take control over the process by external forces. Inside process manipulation is becoming a part of the process. This process manipulation is called advanced process manipulation (APM)....

This paper deals with analysis of the electro discharge texturing (EDT) parameter impact to micro-geometry of the cylinder surface. Micro-geometry of the cylinder surface results has significant influence to final quality of rolled metal plate used to different industry. Micro-geometry evaluate is based on measurement of the surface roughness avera...

This article is devoted to the electronic (analogue) realization of the fractional-order systems – controllers or controlled objects whose we earlier used, identified, and analyzed as a mathematical models only – namely a fractional-order differential equation, and solved numerically using a method based on the truncated version of the Grunwald - L...

This paper deals with realization of combustion control system on programmable logic controllers. Control system design is based on analysis of the current state of combustion control systems in technological device of raw material processing area. Control system design is composed of two subsystems. First subsystem is represented by software syste...

This article presents the utilization of image processing within the quality control in the last phase of the production of the pipes – the measurement thir diameter. The method is realized by using the laser ray projected on the pipe and consequently scanned with the CCD camera. To enable the measurement, a calibration is necessary by a calibratio...

This paper presents the quality management in services and compares a difference between the requirements of the International Standard ISO 9001:2000 „Quality Management Systems” and The Common Assessment Framework.The International Standard ISO 9001:2000 „Quality Management Systems. Fundamentals and vocabulary.” Describes the service the result of...

Each measurement system and a control principle must be based on certain facts about the system behaviour (what), operation (how) and structure (why). Each system is distributed into subsystems that provide an input for the next subsystem. For each system, start is important the begin, that means system characteristics, collecting of data, its hier...

Present advanced technologies creates increasingly complex engineering systems and the complexity of their engineering analysis advance at the same rate. In addition, the design and operation of complex engineering systems involves the integration of multiple disciplines and the resolution of conflicting objectives. Traditional parametric approach...

This article is focused on the description of the main features of an online system for the real time monitoring and prediction of the liquid steel temperature in the ladle and tundish. Monitoring and prediction are based on a combination of analytical and statistical methods. Thus e.g., the temperature profiles of the walls are calculated using mu...

The paper describes the control of burn-through point for sinter on the agglomeration belt. This control is based on mathematical modelling of agglomeration process. The mathematical models and algorithms are derived from basic models of physical and chemical processes of agglomeration belt and they are based on directly and indirectly measured qua...

In this paper we will present some alternative types of discretization methods (discrete approximation) for the fractional-order (FO) differentiator and their application to the FO dynamical system described by the FO differential equation (FDE). With analytical solution and numerical solution by power series expansion (PSE) method are compared two...

In this paper we will present a mathematical description and analysis of a fractional-order regulated system in the state space and the state-space controller design based on placing the closed-loop poles on the complex plane. Presented are the results of simulations and stability investigation of this system.

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 frac...

The present blast furnace control systems are mainly based on black box principles. The great furnace capacity and transport have an inconvenient influence on their efficiency. The white box approach requires the combination of measurement and mathematical modeling. The approach was used for the blast furnace No. 3 at VSŽ Košice and a mathematical...

Mathematical models for description of motion of a viscous fluid in a reservoir are suggested in case of spatially two- and three-dimensional problems. Two possible approaches are used for the problem formulation: one based on classical integer-order derivatives, and another one based on the use of derivatives of an arbitrary real order (fractional...

The sinter is one of the basic materials of the metallic charge of the blast furnaces in integrated steelworks. Its optimisation is oriented mainly on sinter quality enhancement and fuel economy improvement. A mathematical model which includes processes in ignition furnace and on the sintering strand was developped. Optimal ignition and sintering c...

Developed control strategy for blast furnace control is based on black box principles. The control system has two levels. At the basic level, classical control approaches are used. The process level is a combination of model based and AI approaches. Developed models are used in real time for furnace state estimation and prediction as well as for de...

Sinter is basic metallic charging material for most blast furnaces. Sintering process reengineering can significantly influence sinter mechanical and metallurgical properties. This paper presents improvements of the sintering process and process optimal control.

This paper deals with the application of a mathematical model for analysis, optimization and control of the sintering process. The model includes processes in the ignition furnace (fuel combustion, heat transfer) and in the sinter bed (heat transfer, coke combustion, oxidation-reduction reactions of iron oxides, dissociation of carbonates, vaporiza...

In this paper we present a synthesis method for the design of five parameters of a fractional-order PI λ D µ controller. With the PI λ D µ controller and with this method we can fulfill five different design specifications for the closed-loop system. For the synthesis has been used an optimization method, based on a nonlinear function minimization....

Proposed article describes different approaches for modeling of equipment from the area of raw materials processing by means of balancing elementary processes running in the equipment. Processing of raw materials is a system of technologies starting from raw material extraction finishing with processing of it to semi-product advancing for next adju...

This paper deals with the mathematical modeling of biomass gasification and combustion. It begins with an analysis of biomass as an alternative fuel; e.g. its distribution, composition, caloric value etc., and as processes taking place with the biomass gasification and combustion. The programming environment for the modeling of technological proces...

The communication interface is at present time represented with suitable file structure. Updating possibilities are implementation of TCP/IP communication, eventually application of database system. The goal of communication interface is to provide for required transfer of measured values between acquisition application (eventually applications) an...

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 th...