We present an extension of a 2d cartesian electromagnetic and thermal model to achieve the optimal control of an industrial induction heating system. We solve the coupled nonlinear electromagneticthermal. It provides information on the mathematical models of a heating process, cost criteria, and requirements for the final temperature distribution within heated workpieces. Dikusar journal of mathematical sciences volume 116, pages 3753 3777 2003cite this article. The goal of the time optimal control is to create such a method of supplying the heater that the allowable from technological point of view temperature gradients in. Optimal control of induction heating processes mechanical engineering. The analysis of an induction hardening device is a complex process because induction hardening is a combination of heat transfer and electromagnetic, and the temperature dependence of the material properties causes that the induction heating load, i. Search optimal control of induction heating modes for a.
Optimal control of an induction heating process using. Autonomous energy matching control in an llc induction. Induction heating is one of the most effective methods of energy conversion from the electrical to thermal form, used in diverse industrial processes. An optimization approach is applied to solve the optimal heating cooling problem of semisolid metal forming. Here, is a simplified version of the problem we shall try to prescribe a given isothermal line to be distinguished at a given final time. Utilization of induction heating in the processing of titanium. The paper is concerned with a class of optimal heating problems in semiconductor single crystal growth processes. A general automatic optimization procedure coupled to a finite element induction heating process simulation has been developed. Optimal control of threedimensional stateconstrained. The heating process of large diameter steel billets above 80mm radius for forging industry.
Introduction it is well known that a high thermal efficiency, a reduced heating time and a simple control of the induction heating systems lead to different industrial technologies 1, 2. Inductive heating is a heating process of a conductive material, based on the electromagnetic. In this paper the resonance generators for induction heating are considered for which the equivalent load resistance has a strong impact on the ability of the system to use optimally the potentially available power. In this paper is considered the problem of optimal control of process described by boundary problem for partial differential equation. Highfrequency induction heating of alsicumg aluminum alloy in. The induction coil actually functions as a transformer primary, with the workpiece to be heated becoming the transformer secondary. Optimal control of induction heating of metals prior to. Inverse model for the control of induction heat treatments. As strict quality control measures are applied in all the steps of manufacturing. Temperature control and monitoring ultraflex power. To model the heating process, timeharmonic maxwell equations are considered in the system of the state. Application of induction heating in food processing and.
Optimization control of induction hardening process. Therefore, the process optimization and process control of induction. The scientific novelty of the paper is to create control algorithms and mathematical models for the induction heating system of tubular workpieces allowing to explore interrelated electromagnetic and thermal processes taking into account nonlinearities and design features of the system, as well as to form effective modes of its operation based on transfer functions. The physical and mathematical model of induction heating process is proved to be reasonable by comparison of the numerical solutions with experimental data.
Multi phase system for metal disc induction heating. For this, we use a twodimensional induction heating model. Induction heating requires precise temperature control to obtain globular. This paper presents another approach new optimal control techniques 2 4. Numerical optimisation for induction heat treatment processes. Optimal control of induction heating processes mechanical engineering book 201 kindle edition by edgar rapoport, yulia pleshivtseva. We explain how to derive the discrete optimal control algorithm and show the numerical results we obtained for a specific case. Optimal control of nonlinear objects of engineering. The process of joining metal to plastic requires a fast, precise and repeatable heating to prevent quality defects melted or burnt plastic overflow. An induction heater consists of an electromagnet and an electronic oscillator that passes a highfrequency alternating current ac through the electromagnet. When the induction coil is placed next to or around a workpiece, the lines of force concentrate in the air gap between the coil and the workpiece. This paper aims at introducing new approaches for designing and optimising induction heat treatment processes. On this basis, the required programmed controls in a number of practical situations can be found by the proposed algorithmically precise alternance method.
As a consequence, for the small considered time interval, a periodic input current density j s t and thus a periodic loading vector b e t. The optimal control approach of induction heating was studied and the corresponding mathematical model was established by olivier 2 and favennec 3. Optimal control of induction heating processes 1st edition edgar. As examples, experimental studies have been reported on the use of load signature analysis to improve process control in induction hardening of steel 2,3 and for heating of aluminum plates 4. This work is presented a mathematical model of the electromagnetic and heating processes in cylindrical body placed in the inductor and is developed controller, which provide mode of metal hardening.
This book is ideal for all students, production managers, engineers, designers, scientists, and users of. Theory of heating by induction 7 tromagnetic, or flux around it. Microprocessor control of an induction heating process. Inverse model for the control of induction heat treatments ncbi. This book introduces new approaches to solving optimal control problems in induction heating process applications. The mathematical model and the numerical methods are presented along with results validating the model.
However, the application of this technology in food processing industry is still in its early stages. Optimal control of induction heating processes demonstrates how to apply and use new optimization techniques for different types of induction heating installations. Numerical investigation of optimal control of induction. The optimal control approach of induction heating process was studied and the corresponding mathematical model was set up 5 6. The control circuit uses a method known as zvs zero voltage switching to. This study investigates applied coil current and optimal coil geometry and design i. Optimal control of an induction heating process for. Heat transfer heat source joule heating maxwells equations phase transformations multifrequency induction hardening september 18, 2012 page 6 40. It has been applied for a long time in metal processing, medical applications, and cooking. Pdf industrial solutions for inductive heating of steels. Power formulation for the optimal control of an industrial. Induction heating is the process of heating an electrically conducting object usually a metal by electromagnetic induction, through heat generated in the object by eddy currents.
Induction stoves heat the metal of the pot, not the stovetop. Relay controls for the machine operations, sanket power systems has established its. The piecewise continuous relay nature of lumped control actions in problems of timeand energy optimal control of a wide range of distributedparameter nonlinear objects of engineering thermophysics is established. We investigate in this paper a numerical method to control principal induction heating processes through heating parameters such as shape of the inductor, frequency, current voltage, and heating duration. The control variables are the frequency and the power.
Due to the high temperatures characterizing crystal growth, it is necessary to include nonlocal radiation boundary conditions and a temperaturedependent heat conductivity in. To realize this process, several methods can be used, such as gas, electrical resistance or induction. Optimal control of induction heating processes demonstrates how to apply and use new optimization techniques for different types of induction heating installations focusing on practical methods for solving real engineering optimization problems, the text. Optimal control of induction heating for semisolid metal forming par. For this, we use as an example a simple twodimensional cartesian induction heating model. The work coil would need to have as little as 3 windings to be optimal. Potentials of optimal control techniques in induction. Optimal control of induction heating processes mechanical. As an example of optimal control of thermal and electromagnetic coupled field is shown inductive heating of aluminum slabs with minimization of used energy for obtaining the set end field of temperatures, taking into consideration phase constraints of maximum. Induction heating is nowadays the most commonly used method in commercial production applications, especially in semisolid metal processing because it is a noncontact, clean. Simulation of the process to reduce costly experiments optimization of the process computation of optimal process parameters three effects. Ultraflex offers a variety of turn key ir temperature sensing and control systems to simplify and assist with your induction heating application control. With the sanket power systems induction heating, the electronic power control in combination with automatic adaptation ensures optimal utilization of the. The basics of electromagnetic and heat transfer theory are used to describe the dynamics of induction heating processes of rectangle workpieces.
Introduction technologies of induction heating find wide. Induction heating is the process of heating an electrically conducting object usually a metal by. Modeling of induction heating of steel billets for dps. Numerical analysis and optimal control of induction. Description of the problem let us consider the problem of optimal control for induction through heating process with continuous movement of billets. Special method of parametric optimization of induction. Optimal control for inductionheating processes under. The rapidly alternating magnetic field penetrates the. The microstructure and crystal growth were analyzed by some. Designing the inductive heating system is a difficult task generally based on numerical. In this paper a time optimal control of a process of induction heating of steel ferromagnetic charge is described. Optimal control of induction heating for semisolid. Optimal control coupled fields in the process of induction.
The main typical technological requirement to through heating is to provide a uniform temperature distribution on the level of required outlet. The theoretic background of an optimal control task for a precision induction heating problem is studied in this work. Although the final objectives of induction heating processes may deal with some specific mechanical or metallurgical properties for manufactured parts, we shall primarily focus here on achieving an accurate control of temperature distribution and evolution in the heat affected zone haz. Optimal design and control of induction heaters for forging let us consider the problem of optimal control for induction through heating process with continuous movement of billets fig. If you dont receive the download link after 5 minutes, please contact us at. The inverse model is comprised of a simplified analytical forward model trained with experiments to predict and control the temperature of a location in a cylindrical sample starting from any initial temperature. The basics of electromagnetic and heat transfer theory are used to describe. Optimal control of induction heating processes, crctaylor. Focusing on practical methods for solving real engineering optimization problems, the text features a variety of specific optimization examples for induction heater modes and. A sound introduction to the broad theory of optimal control, optimal control of induction heating processes presents a clear and accessible approach to the modern design and control of practical, costeffective induction heating processes.
If you want to save some time, we have an induction heater circuit available in our. Optimal control of induction heating processes books. It illustrates the theory and some examples of optimization in the field of induction through heating. Induction heating processes optimization a general optimal.
Optimization of induction heating process can be achieved by synchronous solution of the problem of optimal control and design. Download pdf optimal control of induction heating processes mechanical engineering, by edgar rapoport, yulia pleshivtseva. In this work, we present and test an approach based on an inverse model applicable to the control of induction heat treatments. Optimal control of induction heating processes, isbn. We consider an optimal control problem arising in an induction heating process. This gives tight control of the heating pattern with the pattern following the applied magnetic. Optimal control of induction heating processes 1st. The procedure can be extended to more sophisticated models without major modification of the optimal control problem. Chapter 4 optimal control of static induction heating processes 119 4. Multiphysics simulation helps miele optimize induction stove designs. The main difficulty is to obtain accurate and efficient derivatives of the discrete form of the cost function. Numerical investigation of optimal control of induction heating processes. Thixoforming is the process of shaping near net shape metal.
Induction heating is an electromagnetic heating technology that has several advantages such as high safety, scalability, and high energy efficiency. Optimal control for inductionheating processes under constraints of general form. Induction heating processes lasting several seconds in practice, temperature evolutions within a range related to an electromagnetic period. Optimal control of multifrequency induction hardening. Buy optimal control of induction heating processes mechanical engineering on.
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