This document summarizes a numerical analysis of induction heating of a graphite crucible at different frequencies. It includes the following key points:
1. A 2D axisymmetric finite element model was developed to simulate the coupled electromagnetic and thermal behavior during induction heating. Temperature dependent material properties were considered.
2. Results showed that magnetic field penetration decreased at higher frequencies. Crucible temperature increased faster at higher frequencies due to better coupling.
3. Voltage distribution in the induction coil turns showed higher losses in the center turns due to proximity effects. This helps with coil cooling design.
4. Electromagnetic power induced in the crucible initially decreased then increased due to the unique temperature dependent conductivity of graphite
Analytical, Numerical and Experimental Validation of Coil Voltage in Inductio...ijeljournal
This paper presents, mathematical model of induction heating process by using analytical and numerical
methods. In analytical method, series equivalent circuit (SEC) is used to represent induction coil and work
piece. Induction coil and workpiece parameters (resistance and reactance) are calculated by standard
formulas along with Nagaoka correction factors and Bessel functions. In Numerical method, magnetic
vector potential formulation is done and finite element method (FEM) is used to solve the field equations.
Analytically and numerically computed parameters such as equivalent coil resistance, reactance, coil
voltage, work piece power are compared and found that they are in good agreement. Analytically and
numerically obtained coil voltages at different frequencies are validated by experimental results. This
mathematical model is useful for coil design and optimization of induction heating process.
Analytical, Numerical and Experimental Validation of Coil Voltage in Inductio...ijujournal
This paper presents, mathematical model of induction heating process by using analytical and numerical methods. In analytical method, series equivalent circuit (SEC) is used to represent induction coil and work piece. Induction coil and workpiece parameters (resistance and reactance) are calculated by standard formulas along with Nagaoka correction factors and Bessel functions. In Numerical method, magnetic
vector potential formulation is done and finite element method (FEM) is used to solve the field equations. Analytically and numerically computed parameters such as equivalent coil resistance, reactance, coil voltage, work piece power are compared and found that they are in good agreement. Analytically and
numerically obtained coil voltages at different frequencies are validated by experimental results. This mathematical model is useful for coil design and optimization of induction heating process.
RESEARCH ON INDUCTION HEATING - A REVIEWEditor IJCATR
This paper presents results of finite element analysis of induction heating problems considering temperature dependence of
material characteristics. In this analysis, we have used the three-dimensional finite element method in order to correctly express
induction heating coil’s shapes and to make clear its effects on temperature distributions. The heat-conducting problem and the eddy
current problem are coupled, and solved by using the step-by-step calculations.
EVALUATING STRUCTURAL, OPTICAL & ELECTRICAL CHARACTERIZATION OF ZINC CHALCOGE...Editor IJCATR
To evaluate the structural, optical & electrical properties of the zinc chalcogenides (ZnO, ZnS, ZnSe & ZnTe), the Full
Potential Linearized – Augumented Plane Wave plus Local Orbits (FP – LAPW+lo) method. For the purpose of exchange-correlation
energy (Exc) determination in Kohn–Sham calculation, the standard local density approximation (LDA) formalism has been utilized.
Murnaghan’s equation of state (EOS) has been used for volume optimization by minimizing the total energy with respect to the unit
cell volume. With the result of electronic density of states (DOS), the structural, optical and electrical properties of Zinc chalcogenides
have been calculated. The second derivative of energy, as a function of lattice strain has been successfully used to estimate the elastic
constants of these binary compounds. The results are in good agreement with other theoretical calculations as well as available
experimental data.
Structural, Electronic and Gamma Shielding Properties of BxAl1-xAsIJMERJOURNAL
ABSTRACT: The structural and electronic properties of BxAl1-xAs ternary alloys in the zincblende structure were systematically investigated by using the first principles calculations. The local density approximation was used for exchanged and correlation interaction. The calculated band gap bowing parameter was discovered to be mightily composition dependent of the Boron concentration. Additionally, we have calculated some gamma shielding parameters of BxAl1-xAs ternary alloys. Primarily, the values of mass attenuation coefficients (μρ) were calculated using WinXCom computer program and then these parameters were utilized to calculate the values of electron density (Nel) and effective atomic number (Zeff) in the wide energy range (1 keV - 100 GeV).
ELECTRICAL PROPERTIES OF NI0.4MG0.6FE2O4 SYNTHESIZED BY CONVENTIONAL SOLID-ST...IAEME Publication
Ni0.4Mg0.6Fe2O4 samples are prepared by conventional double sintering approach and sintered at 1300oC/ 2 h. These ferrites are characterized using X-ray diffractometer. The diffraction study reveals that the present compound shows perfect single phase cubic spinel structure. In addition, the behavior of distinct electrical properties such as dielectric constant (ε'), dielectric loss (ε") and ac-conductivity (σac) as a function frequency as well as temperature is analyzed using the LCR controller
Analytical, Numerical and Experimental Validation of Coil Voltage in Inductio...ijeljournal
This paper presents, mathematical model of induction heating process by using analytical and numerical
methods. In analytical method, series equivalent circuit (SEC) is used to represent induction coil and work
piece. Induction coil and workpiece parameters (resistance and reactance) are calculated by standard
formulas along with Nagaoka correction factors and Bessel functions. In Numerical method, magnetic
vector potential formulation is done and finite element method (FEM) is used to solve the field equations.
Analytically and numerically computed parameters such as equivalent coil resistance, reactance, coil
voltage, work piece power are compared and found that they are in good agreement. Analytically and
numerically obtained coil voltages at different frequencies are validated by experimental results. This
mathematical model is useful for coil design and optimization of induction heating process.
Analytical, Numerical and Experimental Validation of Coil Voltage in Inductio...ijujournal
This paper presents, mathematical model of induction heating process by using analytical and numerical methods. In analytical method, series equivalent circuit (SEC) is used to represent induction coil and work piece. Induction coil and workpiece parameters (resistance and reactance) are calculated by standard formulas along with Nagaoka correction factors and Bessel functions. In Numerical method, magnetic
vector potential formulation is done and finite element method (FEM) is used to solve the field equations. Analytically and numerically computed parameters such as equivalent coil resistance, reactance, coil voltage, work piece power are compared and found that they are in good agreement. Analytically and
numerically obtained coil voltages at different frequencies are validated by experimental results. This mathematical model is useful for coil design and optimization of induction heating process.
RESEARCH ON INDUCTION HEATING - A REVIEWEditor IJCATR
This paper presents results of finite element analysis of induction heating problems considering temperature dependence of
material characteristics. In this analysis, we have used the three-dimensional finite element method in order to correctly express
induction heating coil’s shapes and to make clear its effects on temperature distributions. The heat-conducting problem and the eddy
current problem are coupled, and solved by using the step-by-step calculations.
EVALUATING STRUCTURAL, OPTICAL & ELECTRICAL CHARACTERIZATION OF ZINC CHALCOGE...Editor IJCATR
To evaluate the structural, optical & electrical properties of the zinc chalcogenides (ZnO, ZnS, ZnSe & ZnTe), the Full
Potential Linearized – Augumented Plane Wave plus Local Orbits (FP – LAPW+lo) method. For the purpose of exchange-correlation
energy (Exc) determination in Kohn–Sham calculation, the standard local density approximation (LDA) formalism has been utilized.
Murnaghan’s equation of state (EOS) has been used for volume optimization by minimizing the total energy with respect to the unit
cell volume. With the result of electronic density of states (DOS), the structural, optical and electrical properties of Zinc chalcogenides
have been calculated. The second derivative of energy, as a function of lattice strain has been successfully used to estimate the elastic
constants of these binary compounds. The results are in good agreement with other theoretical calculations as well as available
experimental data.
Structural, Electronic and Gamma Shielding Properties of BxAl1-xAsIJMERJOURNAL
ABSTRACT: The structural and electronic properties of BxAl1-xAs ternary alloys in the zincblende structure were systematically investigated by using the first principles calculations. The local density approximation was used for exchanged and correlation interaction. The calculated band gap bowing parameter was discovered to be mightily composition dependent of the Boron concentration. Additionally, we have calculated some gamma shielding parameters of BxAl1-xAs ternary alloys. Primarily, the values of mass attenuation coefficients (μρ) were calculated using WinXCom computer program and then these parameters were utilized to calculate the values of electron density (Nel) and effective atomic number (Zeff) in the wide energy range (1 keV - 100 GeV).
ELECTRICAL PROPERTIES OF NI0.4MG0.6FE2O4 SYNTHESIZED BY CONVENTIONAL SOLID-ST...IAEME Publication
Ni0.4Mg0.6Fe2O4 samples are prepared by conventional double sintering approach and sintered at 1300oC/ 2 h. These ferrites are characterized using X-ray diffractometer. The diffraction study reveals that the present compound shows perfect single phase cubic spinel structure. In addition, the behavior of distinct electrical properties such as dielectric constant (ε'), dielectric loss (ε") and ac-conductivity (σac) as a function frequency as well as temperature is analyzed using the LCR controller
Heat Capacity of BN and GaN binary semiconductor under high Pressure-Temperat...IOSR Journals
In this paper, we have calculated the molar heat capacity for cubic zinc blende (cZB) BN and GaN binary semiconductors at high pressure-temperature (PT). For the calculation of heat capacity, we firstly obtained the Debye temperature (ϴD) variation with temperature and at higher temperature it becomes constant with temperature in quasi-harmonic approximation limits. We have also calculated the static Debye temperature (ϴD) from elastic constant for the both BN and GaN binary semiconductors. The elastic constants are calculated from the energy-strain relation using plane wave method in DFT approach. All the calculated results are well consistence with experimental and reported data
Stellar Measurements with the New Intensity FormulaIOSR Journals
In this paper a linear relationship in stellar optical spectra has been found by using a
spectroscopical method used on optical light sources where it is possible to organize atomic and ionic data.
This method is based on a new intensity formula in optical emission spectroscopy (OES). Like the HR-diagram ,
it seems to be possible to organize the luminosity of stars from different spectral classes. From that organization
it is possible to determine the temperature , density and mass of stars by using the new intensity formula. These
temperature, density and mass values agree well with literature values. It is also possible to determine the mean
electron temperature of the optical layers (photospheres) of the stars as it is for atoms in the for laboratory
plasmas. The mean value of the ionization energies of the different elements of the stars has shown to be very
significant for each star. This paper also shows that the hydrogen Balmer absorption lines in the stars follow
the new intensity formula.
Big Bang–Big Crunch Optimization Algorithm for the Maximum Power Point Track...IJMER
This paper presents an intelligent control method for the maximum power point tracking (MPPT) of a
photovoltaic system under variable temperature and irradiance conditions. The Big Bang–Big Crunch (BB–BC)
optimization algorithm is a new optimization method that relies on the Big Bang and Big Crunch theory, one of the
theories of the evolution of the universe. In this paper, a Big Bang–Big Crunch algorithm is presented to meet the
maximum power operating point whatever the climatic conditions are from simulation results, it has been found that
BB–BC method is highly competitive for its better convergence performance.
Parametric Transient Thermo-Electrical PSPICE Model For A Single And Dual Con...IJERDJOURNAL
ABSTRACT:A parametric macro model for a single and dual conductor power cable for transient thermo-electrical coupled simulation in PSPICE will be derived. The articledepicts the modelling of a simplified, single- and dual conductor cable and its use during simulation. Its verification against experiment and finite element simulation shows a good agreement. The derived single- and dual conductor PSPICE cable macro model enables a quick modelling at system level. It offers a time saving transient thermo-electrical simulation under various thermal conditions and cable geometries and to optimize e.g. size, weight. The approach support the engineer to overlook the thermal influences and temperatures along the power cable under real ‘thermal’ assembling conditions in an e.g. car engine room or aircraft.
International Journal of Engineering Research and Applications (IJERA) is an open access online peer reviewed international journal that publishes research and review articles in the fields of Computer Science, Neural Networks, Electrical Engineering, Software Engineering, Information Technology, Mechanical Engineering, Chemical Engineering, Plastic Engineering, Food Technology, Textile Engineering, Nano Technology & science, Power Electronics, Electronics & Communication Engineering, Computational mathematics, Image processing, Civil Engineering, Structural Engineering, Environmental Engineering, VLSI Testing & Low Power VLSI Design etc.
Hysteresis Loops for Magnetoelectric Multiferroics Using Landau-Khalatnikov T...IJECEIAES
We present a theoretical discussion of the hysteresis in magnetoelectric multiferroics with bi-quadratic magnetoelectric coupling. The calculations were performed by employing Landau-Khalatnikov equation of motion for both the ferroelectric and ferromagnetic phase, then solve it simultaneously. In magnetoelectric, we obtain four types of hysteresis: ferroelectric hysteresis, ferromagnetic hysteresis and two types of cross hysteresis (electric field versus magnetization and magnetic field versus electric polarization). The cross hysteresis has butterfly shape which agree with the result from the previous research. It can also be seen from that hysteresis, that magnetization / electric polarization can not be flipped into the opposite direction using external electric / magnetic field when the magnetoelectric coupling is bi-quadratic type. Overall, the result shows that LandauKhalatnikov equation is able to approximate hysteresis loops in multiferroics system.
Radiation patterns account of a circular microstrip antenna loaded two annularwailGodaymi1
In this paper, theoretical study of circular microstrip antenna loaded two annular (CMSAL2AR) and calculation
of the radiation pattern using principle equivalence with moment of method formulation of electromagnetic
radiation in this these based on the bodies of revolution (BoR), which are generated by revolution a planar curve
about an axis called axis of symmetry to solving the electric fields integral equation (EFIE) and magnetic field
integral equation (MFIE). To find an unknown electric current density on the conductor surface ,and both
unknowns electric and magnetic density current on the dielectric surface which are responsible for the
generation of far fields radiation in the space for the components (Eθ ,Eφ) ,the surface currents was represented
by a set of basis functions that give the Fourier series because the body has a circular symmetry property and
then select a set of weighted functions to find a linear system by using Galerkin method which requires that the
weighted functions are equal to the complex conjugate of the current ( ) * W = J .from radiation pattern
calculated the Directive gain can be utilized to the directive gain increased to (G= 21.30 dB) when
( 0.015λ 1 = g R ) for the ratio of (Rab= 5.5), and bandwidth has been better (BW%= 19.9%) when
( 0.01λ 1 = g R ) for the ratio (Rab= 6.5) .
Design and Simulation of Array of Rectangular Micro Cantilevers Piezoelectric...IJERA Editor
This paper presents the design, analysis and simulation of MEMS based array of bimorph rectangular microcantilever piezoelectric energy harvester structure with and without tip mass, to analyze their sensitivity. The microcantilever beams are made up of piezoelectric material and Aluminium as a substrate material. The analytical simulation of design is done by FEM (COMSOL Multiphysics). The simulation results of bimorph cantilever structure, applied force of 0.1 N and obtained end displacement and electric potential developed are given. The analytical model of the cantilever beam will be analyzed and the process of its construction will be discussed. The changes in the sensitivity of a cantilever beam with respect to change in its shape for the same applied force of 0.1N are denoted.
Analytical, Numerical and Experimental Validation of Coil Voltage in Inductio...ijeljournal
This paper presents, mathematical model of induction heating process by using analytical and numerical methods. In analytical method, series equivalent circuit (SEC) is used to represent induction coil and work piece. Induction coil and workpiece parameters (resistance and reactance) are calculated by standard formulas along with Nagaoka correction factors and Bessel functions. In Numerical method, magnetic vector potential formulation is done and finite element method (FEM) is used to solve the field equations. Analytically and numerically computed parameters such as equivalent coil resistance, reactance, coil voltage, work piece power are compared and found that they are in good agreement. Analytically and numerically obtained coil voltages at different frequencies are validated by experimental results. This mathematical model is useful for coil design and optimization of induction heating process.
Analytical, Numerical and Experimental Validation of Coil Voltage in Inductio...ijeljournal
This paper presents, mathematical model of induction heating process by using analytical and numerical methods. In analytical method, series equivalent circuit (SEC) is used to represent induction coil and work piece. Induction coil and workpiece parameters (resistance and reactance) are calculated by standard formulas along with Nagaoka correction factors and Bessel functions. In Numerical method, magnetic vector potential formulation is done and finite element method (FEM) is used to solve the field equations. Analytically and numerically computed parameters such as equivalent coil resistance, reactance, coil voltage, work piece power are compared and found that they are in good agreement. Analytically and numerically obtained coil voltages at different frequencies are validated by experimental results. This mathematical model is useful for coil design and optimization of induction heating process.
ANALYTICAL, NUMERICAL AND EXPERIMENTAL VALIDATION OF COIL VOLTAGE IN INDUCTIO...ijeljournal
This paper presents, mathematical model of induction heating process by using analytical and numerical
methods. In analytical method, series equivalent circuit (SEC) is used to represent induction coil and work
piece. Induction coil and workpiece parameters (resistance and reactance) are calculated by standard
formulas along with Nagaoka correction factors and Bessel functions. In Numerical method, magnetic
vector potential formulation is done and finite element method (FEM) is used to solve the field equations.
Analytically and numerically computed parameters such as equivalent coil resistance, reactance, coil
voltage, work piece power are compared and found that they are in good agreement. Analytically and
numerically obtained coil voltages at different frequencies are validated by experimental results. This
mathematical model is useful for coil design and optimization of induction heating process.
ANALYTICAL, NUMERICAL AND EXPERIMENTAL VALIDATION OF COIL VOLTAGE IN INDUCTIO...ijeljournal
This paper presents, mathematical model of induction heating process by using analytical and numerical
methods. In analytical method, series equivalent circuit (SEC) is used to represent induction coil and work
piece. Induction coil and workpiece parameters (resistance and reactance) are calculated by standard
formulas along with Nagaoka correction factors and Bessel functions. In Numerical method, magnetic
vector potential formulation is done and finite element method (FEM) is used to solve the field equations.
Analytically and numerically computed parameters such as equivalent coil resistance, reactance, coil
voltage, work piece power are compared and found that they are in good agreement. Analytically and
numerically obtained coil voltages at different frequencies are validated by experimental results. This
mathematical model is useful for coil design and optimization of induction heating process.
Heat Capacity of BN and GaN binary semiconductor under high Pressure-Temperat...IOSR Journals
In this paper, we have calculated the molar heat capacity for cubic zinc blende (cZB) BN and GaN binary semiconductors at high pressure-temperature (PT). For the calculation of heat capacity, we firstly obtained the Debye temperature (ϴD) variation with temperature and at higher temperature it becomes constant with temperature in quasi-harmonic approximation limits. We have also calculated the static Debye temperature (ϴD) from elastic constant for the both BN and GaN binary semiconductors. The elastic constants are calculated from the energy-strain relation using plane wave method in DFT approach. All the calculated results are well consistence with experimental and reported data
Stellar Measurements with the New Intensity FormulaIOSR Journals
In this paper a linear relationship in stellar optical spectra has been found by using a
spectroscopical method used on optical light sources where it is possible to organize atomic and ionic data.
This method is based on a new intensity formula in optical emission spectroscopy (OES). Like the HR-diagram ,
it seems to be possible to organize the luminosity of stars from different spectral classes. From that organization
it is possible to determine the temperature , density and mass of stars by using the new intensity formula. These
temperature, density and mass values agree well with literature values. It is also possible to determine the mean
electron temperature of the optical layers (photospheres) of the stars as it is for atoms in the for laboratory
plasmas. The mean value of the ionization energies of the different elements of the stars has shown to be very
significant for each star. This paper also shows that the hydrogen Balmer absorption lines in the stars follow
the new intensity formula.
Big Bang–Big Crunch Optimization Algorithm for the Maximum Power Point Track...IJMER
This paper presents an intelligent control method for the maximum power point tracking (MPPT) of a
photovoltaic system under variable temperature and irradiance conditions. The Big Bang–Big Crunch (BB–BC)
optimization algorithm is a new optimization method that relies on the Big Bang and Big Crunch theory, one of the
theories of the evolution of the universe. In this paper, a Big Bang–Big Crunch algorithm is presented to meet the
maximum power operating point whatever the climatic conditions are from simulation results, it has been found that
BB–BC method is highly competitive for its better convergence performance.
Parametric Transient Thermo-Electrical PSPICE Model For A Single And Dual Con...IJERDJOURNAL
ABSTRACT:A parametric macro model for a single and dual conductor power cable for transient thermo-electrical coupled simulation in PSPICE will be derived. The articledepicts the modelling of a simplified, single- and dual conductor cable and its use during simulation. Its verification against experiment and finite element simulation shows a good agreement. The derived single- and dual conductor PSPICE cable macro model enables a quick modelling at system level. It offers a time saving transient thermo-electrical simulation under various thermal conditions and cable geometries and to optimize e.g. size, weight. The approach support the engineer to overlook the thermal influences and temperatures along the power cable under real ‘thermal’ assembling conditions in an e.g. car engine room or aircraft.
International Journal of Engineering Research and Applications (IJERA) is an open access online peer reviewed international journal that publishes research and review articles in the fields of Computer Science, Neural Networks, Electrical Engineering, Software Engineering, Information Technology, Mechanical Engineering, Chemical Engineering, Plastic Engineering, Food Technology, Textile Engineering, Nano Technology & science, Power Electronics, Electronics & Communication Engineering, Computational mathematics, Image processing, Civil Engineering, Structural Engineering, Environmental Engineering, VLSI Testing & Low Power VLSI Design etc.
Hysteresis Loops for Magnetoelectric Multiferroics Using Landau-Khalatnikov T...IJECEIAES
We present a theoretical discussion of the hysteresis in magnetoelectric multiferroics with bi-quadratic magnetoelectric coupling. The calculations were performed by employing Landau-Khalatnikov equation of motion for both the ferroelectric and ferromagnetic phase, then solve it simultaneously. In magnetoelectric, we obtain four types of hysteresis: ferroelectric hysteresis, ferromagnetic hysteresis and two types of cross hysteresis (electric field versus magnetization and magnetic field versus electric polarization). The cross hysteresis has butterfly shape which agree with the result from the previous research. It can also be seen from that hysteresis, that magnetization / electric polarization can not be flipped into the opposite direction using external electric / magnetic field when the magnetoelectric coupling is bi-quadratic type. Overall, the result shows that LandauKhalatnikov equation is able to approximate hysteresis loops in multiferroics system.
Radiation patterns account of a circular microstrip antenna loaded two annularwailGodaymi1
In this paper, theoretical study of circular microstrip antenna loaded two annular (CMSAL2AR) and calculation
of the radiation pattern using principle equivalence with moment of method formulation of electromagnetic
radiation in this these based on the bodies of revolution (BoR), which are generated by revolution a planar curve
about an axis called axis of symmetry to solving the electric fields integral equation (EFIE) and magnetic field
integral equation (MFIE). To find an unknown electric current density on the conductor surface ,and both
unknowns electric and magnetic density current on the dielectric surface which are responsible for the
generation of far fields radiation in the space for the components (Eθ ,Eφ) ,the surface currents was represented
by a set of basis functions that give the Fourier series because the body has a circular symmetry property and
then select a set of weighted functions to find a linear system by using Galerkin method which requires that the
weighted functions are equal to the complex conjugate of the current ( ) * W = J .from radiation pattern
calculated the Directive gain can be utilized to the directive gain increased to (G= 21.30 dB) when
( 0.015λ 1 = g R ) for the ratio of (Rab= 5.5), and bandwidth has been better (BW%= 19.9%) when
( 0.01λ 1 = g R ) for the ratio (Rab= 6.5) .
Design and Simulation of Array of Rectangular Micro Cantilevers Piezoelectric...IJERA Editor
This paper presents the design, analysis and simulation of MEMS based array of bimorph rectangular microcantilever piezoelectric energy harvester structure with and without tip mass, to analyze their sensitivity. The microcantilever beams are made up of piezoelectric material and Aluminium as a substrate material. The analytical simulation of design is done by FEM (COMSOL Multiphysics). The simulation results of bimorph cantilever structure, applied force of 0.1 N and obtained end displacement and electric potential developed are given. The analytical model of the cantilever beam will be analyzed and the process of its construction will be discussed. The changes in the sensitivity of a cantilever beam with respect to change in its shape for the same applied force of 0.1N are denoted.
Analytical, Numerical and Experimental Validation of Coil Voltage in Inductio...ijeljournal
This paper presents, mathematical model of induction heating process by using analytical and numerical methods. In analytical method, series equivalent circuit (SEC) is used to represent induction coil and work piece. Induction coil and workpiece parameters (resistance and reactance) are calculated by standard formulas along with Nagaoka correction factors and Bessel functions. In Numerical method, magnetic vector potential formulation is done and finite element method (FEM) is used to solve the field equations. Analytically and numerically computed parameters such as equivalent coil resistance, reactance, coil voltage, work piece power are compared and found that they are in good agreement. Analytically and numerically obtained coil voltages at different frequencies are validated by experimental results. This mathematical model is useful for coil design and optimization of induction heating process.
Analytical, Numerical and Experimental Validation of Coil Voltage in Inductio...ijeljournal
This paper presents, mathematical model of induction heating process by using analytical and numerical methods. In analytical method, series equivalent circuit (SEC) is used to represent induction coil and work piece. Induction coil and workpiece parameters (resistance and reactance) are calculated by standard formulas along with Nagaoka correction factors and Bessel functions. In Numerical method, magnetic vector potential formulation is done and finite element method (FEM) is used to solve the field equations. Analytically and numerically computed parameters such as equivalent coil resistance, reactance, coil voltage, work piece power are compared and found that they are in good agreement. Analytically and numerically obtained coil voltages at different frequencies are validated by experimental results. This mathematical model is useful for coil design and optimization of induction heating process.
ANALYTICAL, NUMERICAL AND EXPERIMENTAL VALIDATION OF COIL VOLTAGE IN INDUCTIO...ijeljournal
This paper presents, mathematical model of induction heating process by using analytical and numerical
methods. In analytical method, series equivalent circuit (SEC) is used to represent induction coil and work
piece. Induction coil and workpiece parameters (resistance and reactance) are calculated by standard
formulas along with Nagaoka correction factors and Bessel functions. In Numerical method, magnetic
vector potential formulation is done and finite element method (FEM) is used to solve the field equations.
Analytically and numerically computed parameters such as equivalent coil resistance, reactance, coil
voltage, work piece power are compared and found that they are in good agreement. Analytically and
numerically obtained coil voltages at different frequencies are validated by experimental results. This
mathematical model is useful for coil design and optimization of induction heating process.
ANALYTICAL, NUMERICAL AND EXPERIMENTAL VALIDATION OF COIL VOLTAGE IN INDUCTIO...ijeljournal
This paper presents, mathematical model of induction heating process by using analytical and numerical
methods. In analytical method, series equivalent circuit (SEC) is used to represent induction coil and work
piece. Induction coil and workpiece parameters (resistance and reactance) are calculated by standard
formulas along with Nagaoka correction factors and Bessel functions. In Numerical method, magnetic
vector potential formulation is done and finite element method (FEM) is used to solve the field equations.
Analytically and numerically computed parameters such as equivalent coil resistance, reactance, coil
voltage, work piece power are compared and found that they are in good agreement. Analytically and
numerically obtained coil voltages at different frequencies are validated by experimental results. This
mathematical model is useful for coil design and optimization of induction heating process.
EVALUATION OF MAJORITY CHARGE CARRIER AND IMPURITY CONCENTRATION USING HOT PR...IJAMSE Journal
Temperature dependent majority charge carrier concentration and impurity concentration calculations
done for p-type commercial (100) silicon wafer of thickness 200 µm where the wafer is heated by hot probe
set up. By solving basic conductivity equation of semiconductor and Continuity & Poisson’s equation
thermally generated carrier ∆p and Q are found respectively for the same temperature range 50°C-80°C
with an interval of 10°C. For lower temperature ∆p and Q values are not exactly same but for higher
temperature those values agree with conventional measurement.
Numerical simulation of electromagnetic radiation using high-order discontinu...IJECEIAES
In this paper, we propose the simulation of 2-dimensional electromagnetic wave radiation using high-order discontinuous Galerkin time domain method to solve Maxwell's equations. The domains are discretized into unstructured straight-sided triangle elements that allow enhanced flexibility when dealing with complex geometries. The electric and magnetic fields are expanded into a high-order polynomial spectral approximation over each triangle element. The field conservation between the elements is enforced using central difference flux calculation at element interfaces. Perfectly matched layer (PML) boundary condition is used to absorb the waves that leave the domain. The comparison of numerical calculations is performed by the graphical displays and numerical data of radiation phenomenon and presented particularly with the results of the FDTD method. Finally, our simulations show that the proposed method can handle simulation of electromagnetic radiation with complex geometries easily.
Electrical properties of Ni0.4Mg0.6Fe2O4 ferritesIJERA Editor
Ni0.4Mg0.6Fe2O4 Ceramic samples were prepared by conventional double sintering approach and sintered at 1300oC/4 h. These ferrites are further characterized using X-ray diffractometer. The diffraction study reveals that the present compound shows perfect single phase cubic spinel structure. In addition, the behavior of distinct electrical properties such as dielectric constant (ε'), dielectric loss (ε") and ac-conductivity (ζac) as a function frequency as well as temperature is analyzed using the LCR controller.
Influence of input power in Ar/H2 thermal plasma with silicon powder by numer...TELKOMNIKA JOURNAL
Numerical simulation in inductively coupled thermal plasma was made on the temperature distribution in argon (Ar)+hydrogen (H2) induction thermal plasma torch with silicon (Si) powder injection to obtain the temperature distribution and gas flow fields. The ICTP model was used in this research because it has benefit of good repeatability and no contamination process. Interactions between ICTP and injected powder are very complicated to be understood only by related experiments. Influence of input power in ICTP was numerically investigated on thermal plasma temperature fields and powder evaporation. The temperature distributions of thermal plasma and Si vapor distribution were compared at input powers of 20 kW, 30 kW, and 40 kW. Results indicated that higher input power increases the temperature of the thermal plasma with doughnut shape but it slightly enhances evaporation of the powder at the center axis of the plasma torch.
Modeling and Simulation of Thermal Stress in Electrical Discharge Machining ...Mohan Kumar Pradhan
In this research the effect of input variables namely: discharge current, pulse
duration on thermal stresses has been investigated. A finite element modelling for
the EDM process and the effect of a single-pulse discharge has been presented and
results concerning the temperature distribution, the thermal stresses of AISI D2 steel
machined by EDM have been illustrated. It was found that the compressive thermal
stresses were developed beneath the crater and the tensile stresses were occur away
from the axis of symmetry however, the thermal stresses affects to a larger depth with
increasing pulse energy.
PHYSICAL MODELING AND SIMULATION OF THERMAL HEATING IN VERTICAL INTEGRATED ...ijcses
Interconnect is one of the main performance determinant of modern integrated circuits (ICs). The new
technology of vertical ICs places circuit blocks in the vertical dimension in addition to the conventional
horizontal plane. Compared to the planar ICs, vertical ICs have shorter latencies as well as lower power
consumption due to shorter wires. This also increases speed, improves performances and adds to ICs
density. The benefits of vertical ICs increase as we stack more dies, due to successive reductions in wire
lengths. However, as we stack more dies, the lattice self-heating becomes a challenging and critical issue
due to the difficulty in cooling down the layers away from the heat sink. In this paper, we provide a
quantitative electro-thermal analysis of the temperature rise due to stacking. Mathematical models based
on steady state non-isothermal drift-diffusion transport equations coupled to heat flow equation are used.
These physically based models and the different heat sources in semiconductor devices will be presented
and discussed. Three dimensional numerical results did show that, compared to the planar ICs, the
vertical ICs with 2-die technology increase the maximum temperature by 17 Kelvin in the die away from
the heat sink. These numerical results will also be presented and analyzed for a typical 2-die structure of
complementary metal oxide semiconductor (CMOS) transistors.
Hierarchical Digital Twin of a Naval Power SystemKerry Sado
A hierarchical digital twin of a Naval DC power system has been developed and experimentally verified. Similar to other state-of-the-art digital twins, this technology creates a digital replica of the physical system executed in real-time or faster, which can modify hardware controls. However, its advantage stems from distributing computational efforts by utilizing a hierarchical structure composed of lower-level digital twin blocks and a higher-level system digital twin. Each digital twin block is associated with a physical subsystem of the hardware and communicates with a singular system digital twin, which creates a system-level response. By extracting information from each level of the hierarchy, power system controls of the hardware were reconfigured autonomously. This hierarchical digital twin development offers several advantages over other digital twins, particularly in the field of naval power systems. The hierarchical structure allows for greater computational efficiency and scalability while the ability to autonomously reconfigure hardware controls offers increased flexibility and responsiveness. The hierarchical decomposition and models utilized were well aligned with the physical twin, as indicated by the maximum deviations between the developed digital twin hierarchy and the hardware.
Cosmetic shop management system project report.pdfKamal Acharya
Buying new cosmetic products is difficult. It can even be scary for those who have sensitive skin and are prone to skin trouble. The information needed to alleviate this problem is on the back of each product, but it's thought to interpret those ingredient lists unless you have a background in chemistry.
Instead of buying and hoping for the best, we can use data science to help us predict which products may be good fits for us. It includes various function programs to do the above mentioned tasks.
Data file handling has been effectively used in the program.
The automated cosmetic shop management system should deal with the automation of general workflow and administration process of the shop. The main processes of the system focus on customer's request where the system is able to search the most appropriate products and deliver it to the customers. It should help the employees to quickly identify the list of cosmetic product that have reached the minimum quantity and also keep a track of expired date for each cosmetic product. It should help the employees to find the rack number in which the product is placed.It is also Faster and more efficient way.
CFD Simulation of By-pass Flow in a HRSG module by R&R Consult.pptxR&R Consult
CFD analysis is incredibly effective at solving mysteries and improving the performance of complex systems!
Here's a great example: At a large natural gas-fired power plant, where they use waste heat to generate steam and energy, they were puzzled that their boiler wasn't producing as much steam as expected.
R&R and Tetra Engineering Group Inc. were asked to solve the issue with reduced steam production.
An inspection had shown that a significant amount of hot flue gas was bypassing the boiler tubes, where the heat was supposed to be transferred.
R&R Consult conducted a CFD analysis, which revealed that 6.3% of the flue gas was bypassing the boiler tubes without transferring heat. The analysis also showed that the flue gas was instead being directed along the sides of the boiler and between the modules that were supposed to capture the heat. This was the cause of the reduced performance.
Based on our results, Tetra Engineering installed covering plates to reduce the bypass flow. This improved the boiler's performance and increased electricity production.
It is always satisfying when we can help solve complex challenges like this. Do your systems also need a check-up or optimization? Give us a call!
Work done in cooperation with James Malloy and David Moelling from Tetra Engineering.
More examples of our work https://www.r-r-consult.dk/en/cases-en/
Saudi Arabia stands as a titan in the global energy landscape, renowned for its abundant oil and gas resources. It's the largest exporter of petroleum and holds some of the world's most significant reserves. Let's delve into the top 10 oil and gas projects shaping Saudi Arabia's energy future in 2024.
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Immunizing Image Classifiers Against Localized Adversary Attacksgerogepatton
This paper addresses the vulnerability of deep learning models, particularly convolutional neural networks
(CNN)s, to adversarial attacks and presents a proactive training technique designed to counter them. We
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When combined with 3D convolution and deep curriculum learning optimization (CLO), itsignificantly improves
the immunity of models against localized universal attacks by up to 40%. We evaluate our proposed approach
using contemporary CNN architectures and the modified Canadian Institute for Advanced Research (CIFAR-10
and CIFAR-100) and ImageNet Large Scale Visual Recognition Challenge (ILSVRC12) datasets, showcasing
accuracy improvements over previous techniques. The results indicate that the combination of the volumetric
input and curriculum learning holds significant promise for mitigating adversarial attacks without necessitating
adversary training.
Transient numerical analysis of induction heating of graphite cruciable at different frequency
1. International Journal of Electromagnetics ( IJEL ), Vol 1, No 1, August 2016
35
TRANSIENT NUMERICAL ANALYSIS OF INDUCTION
HEATING OF GRAPHITE CRUCIBLE AT DIFFERENT
FREQUENCY
B. Patidar, M.M.Hussain, A. Sharma, A.P. Tiwari
Bhabha Atomic Research Centre, Mumbai
Abstract
Mathematical modeling of Induction heating process is done by using 2D axisymmetric geometry.
Induction heating is coupled field problem that includes electromagnetism and heat transfer. Mathematical
modeling of electromagnetism and heat transfer is done by using maxwell equations and classical heat
transfer equation respectively. Temperature dependent material properties are used for this analysis. This
analysis includes coil voltage distribution, crucible electromagnetic power, and coil equivalent impedance
at different frequency. Induction coil geometry effect on supply voltage is also analyzed. This analysis is
useful for designing of induction coil for melting of nonferrous metal such as gold, silver, uranium etc.
Keywords:
Induction heating, FEM, Coil design, Graphite
1.INTRODUCTION
Graphite has been widely utilized in different industries applications, because of it physical
properties like good thermal stability, corrosion resistance, high electrical conductivity, thermal
shock resistance, high melting temperature, high purity, refractoriness, machinability etc [1].
Graphite electrical, mechanical and thermal properties makes, it suitable for induction melting of
non ferrous materials such as gold, silver, uranium etc.
In induction heating, graphite crucible is coupled with pulsating magnetic field produced by
induction coil, which generates the electro motive force and eddy current in graphite crucible and
that will heat it by joules effect. This heat is transferred to the charge (Material that is supposed to
melt) through conduction, convection and radiation [2] [3].
Induction heating is multiphysics phenomena i.e combination of electromagnetism and heat
transfer [4]. These physics are nonlinearly coupled with each other due to temperature dependent
material properties. Mathematical modeling of electromagnetism and heat transfer is done by well
known maxwell equations and classical heat transfer equation respectively [2][4] [4].Field
equations are solved by using finite element method.
This paper presents mathematical modeling of induction heating of graphite crucible.
Electromagnetic power induced in different wall thickness of graphite crucibles, and voltage
distributions in induction coil are analyzed at different frequency. This model helps to design and
optimized the induction coil and graphite crucible for heating application.
2. International Journal of Electromagnetics ( IJEL ), Vol 1, No 1, August 2016
36
This paper is organized as follows, section II gives brief description of induction heating system.
Mathematical modeling and numerical solution procedure are explained in section III. In section
IV, numerical results and analysis are present. Finally conclusion is given in section V.
2.SYSTEM DESCRIPTION
Induction melting set up comprises of power source, water cooled copper induction coil, graphite
crucible and charge. Power source supplies high frequency current to the induction coil to
generate varying magnetic field and heat the crucible.
C o p p e r
I n d u c t i o n
c o i l
C h a r g e
G r a p h i t e
c r u c i b l e
I n d u c t i o n
m e l t i n g
p o w e r
s o u r c e
3 - P h a s e
m a i n s
p o w e r
s u p p l y
Figure 1:- Schematic of Induction heating system
3.MATHEMATICAL MODEL
Mathematical modeling of electromagnetism and heat transfer is done separately.
Electromagnetic model is governed by maxwell equations as shown below [5] [6] [7] [8] [9],
∇. = 0 (1)
∇. = (2)
∇ × = − (3)
∇ × = + (4)
Here, H: - Magnetic field strength (A/m)
E: - Electric field strength (V/m)
σ: - Electrical conductivity (S/m)
J= Current density (A/m2
)
3. International Journal of Electromagnetics ( IJEL ), Vol 1, No 1, August 2016
37
D= Electric flux density(C/m2
)
ρc=Electric charge density(C/m3
)
B= Magnetic flux density (Wb/m2
)
Constitutional equations for linear isotropic medium,
= ( ) (5)
= (6)
= (7)
Here,
µ0= Free space magnetic permeability (H/m)
µr= Relative magnetic permeability
ε0= Free space electric permittivity (F/m)
εr= Relative electric permittivity
Magnetic field problems are generally solved by using magnetic vector potential formulation and
which is derived by using maxwell equations. Magnetic vector potential (A) is defined as,
= ∇ × (8)
From eq (3), (4) and (8), Magnetic vector potential equation in frequency domain can be written
as,
( )
∇!
+ " − #$ ( ) = 0 (9)
Here,
Js= source current density (A/m2)
ω=Angular frequency (rad/sec)
For solving eq (9) in axisymmetric geometry shown in figure 2, following assumption are
considered,
1. The system is rotationally symmetric about Z-Axis.
4. International Journal of Electromagnetics ( IJEL ), Vol 1, No 1, August 2016
38
2. All the materials are isotropic.
3. Displacement current is neglected.
4. Electromagnetic field quantities contents only single frequency component.
For different domain of figure (2), eq (9) can be written as,
(%)
∇!
= 0 in Ω1 (10.1)
(%)
∇!
+ " − #$ ( ) = 0 in Ω2 (10.2)
(%)
∇!
− #$ ( ) = 0 in Ω3 (10.3)
Figure 2:- 2-D Axisymmetric geometry of induction heating system
Eddy current and induced electromagnetics power in graphite crucible are calculated by using
magnetic vector potential as shown below,
'( = ( )(#$ ) (11.1)
) =
*+
,
-( )
= ( )(#$ )!
(11.2)
Here,
Je= induce eddy current density (A/m2
)
5. International Journal of Electromagnetics ( IJEL ), Vol 1, No 1, August 2016
39
Electromagnetism is coupled to heat transfer by power induced (Q) in graphite crucible and that
is used as forcing function in heat transfer equation. Temperature in the graphite crucible is
governed by the classical heat transfer equation [2] [5] [9] [10],
.( ). (∇! ) + ) = /0( ) (12)
Here,
T= Temperature (DegK)
ρ= Density (Kg/m3)
cp= Specific heat ((J/(Kg.K))
K=Thermal conductivity (W/(m.K))
Qconv= convection heat loss (W/m2
)
Qrad= radiation heat loss (W/m2
)
t =Time (Sec)
For electromagnetism, Dirichlet (A=0) and Neumann boundary conditions and for heat transfer,
convection and radiation boundary conditions are used.
Convection heat loss can be represent as,
) 123 = ℎ. ( − 567) W/m2
(13)
Radiation heat loss can be represent as,
) 58 = 9 7. : ;
− 567
;
< W/m2
(14)
Here,
h=convection coefficient (W/m2
K)
ϵ=Emissivity
σb= Boltzmann constant(5.67X10-8 W/m2
K4
)
Tamp= Ambient temperature (DegK)
Induction heating is non linear coupled field problem that makes difficult to solve by analytical
method. Hence, Numerical method is used to solve the field equations. Finite element method
(FEM) is simple and most preferred numerical method for solving field equation, therefore, FEM
is chosen for this analysis. FEM converts continuous equations i.e eq (10) into discrete equation
by discretizing geometry of solution domain [2].Discretization can be done by using trigular,
rectangular or hexagonal elements. Discretized equations are solved by using segregated or
coupled field solver.
6. International Journal of Electromagnetics ( IJEL ), Vol 1, No 1, August 2016
40
4.SIMULATION
Simulation is done in three steps i.e. preprocessing, processing and post processing using FEM
based multiphysics software [7].
Preprocessing
Processing
No
Yes
Post processing
Figure 3. Computation steps
Preprocessing steps includes creating geometry, assigning materials and their properties to
different sub domains, define boundary conditions, initial conditions, forcing function and
domain discretization. Processing steps includes the computation of parameters as shown in
figure 3. Post processing step includes computation of parameters such as coil impedance,
convection and radiation losses etc for further analysis.
Magnetic vector
potential (A)
calculation
Electromagnetic
power (Q)
calculation
Temperature field
(T) calculation
t > t set
Output
Update
Material
Properties
σ (T), K (T),
cp (T)
Geometry, material
and their properties,
initial & boundary
conditions, forcing
function, domain
discretization
Calculate parameters such as
electromagnetic power, coil
impedance, temperature
gradient etc
7. International Journal of Electromagnetics ( IJEL ), Vol 1, No 1, August 2016
41
5.NUMERICAL RESULTS
Geometry shown in figure 4 (a) is used for simulation. Solution domain is discretized using
trigular elements. Meshing density is more on Surface of graphite crucible and induction coil due
to skin effect as shown in the figure 4(b). Graphite temperature dependent material properties are
given in figure 4.
4(a) 4(b)
Figure 4(a). 2-D axisymmetric geometry, 4(b) Domain discretization (Meshing)
Dimension details of induction coil is given in table-I. Graphite temperature dependent material
properties such as electrical conductivity, thermal conductivity, specific heat, are shown in figure
5.
0 400 800 1200 1600 2000
0
140
150
160
170
ElectricalconductivityinkS/m
Temperature in DegK
Graphite Electrical Conductivity
0 500 1000 1500 2000
0
40
60
80
100
120
140
160
180
200
220
ThermalcoductivityinW/mK
Temperature in DegK
Graphite Thermal Conductivity
5(a) 5 (b)
8. International Journal of Electromagnetics ( IJEL ), Vol 1, No 1, August 2016
42
0 400 800 1200 1600 2000
0
800
1200
1600
2000
Graphite Specific Heat
SpecificheatinJ/Kg.K
Temperature in DegK
5 (c)
Figure 5:- Temperature dependent material properties of Graphite [2]
Table-I Induction coil dimensions and properties
Induction coil Description
Material Copper
Inside diameter 215
Outside diameter 247
Height 200
Coil tube diameter 16
Coil tube thickness 5
No. of turn 9
Initial conditions, boundary conditions and forcing function for electromagnetism and heat
transfer are given in table-II and table-III respectively. Electromagnetism equations are solved in
complete solution domain (induction coil, graphite crucible, air). Heat transfer analysis is done
only in graphite crucible, because induction coil is water cooled, and always at room temperature.
Table-II Boundary condition and forcing function for electromagnetism
Boundary
condition
Description
Outer boundary A=0
Asymmetry axis ∂A
∂n
= 0
Induction coil
current
707.21A
9. International Journal of Electromagnetics ( IJEL ), Vol 1, No 1, August 2016
43
Table-III Initial and boundary condition for Heat transfer
Boundary condition Description
Initial temperature 303 DegK
Convection coefficient(h) 10 (W/m2
K)
Emissivity( Graphite
surface)
0.7
Emissivity(Refractory
surface)
0.01
As induction coil carries single frequency current (because of series resonance configuration),
Hence, electromagnetic analysis is done in frequency domain. Heat transfer equation is solved in
transient domain. Magnetic field produced by induction coil at 1 kHz, 5 kHz and 9 kHz is shown
in the figure 7.
Figure 7. Magnetic field at 1 kHz, 5 kHz, and 9 kHz
6.RESULT AND ANALYSIS
From figure 7, it is observed that, magnetic field is high on graphite crucible surface and it
reduces toward centre of the crucible. At 1 kHz, magnetic field penetrates more compared to 5
kHz and 9 kHz. Figure 8 shows the crucible temperature at different frequency, from figure, it is
observe that as frequency increases crucible heat up at faster rate and that is because of increase
in coupling between crucible and induction coil.
10. International Journal of Electromagnetics ( IJEL ), Vol 1, No 1, August 2016
44
0 200 400 600 800 1000
0
200
400
600
800
1000
1200
1 kHz
5 kHz
9 kHz
TemperatureinDegC
Time in Sec
Figure 8. Graphite crucible temperature
Figure 9 shows, voltage distribution in different turn of the induction coil. From figure it is
observed that from centre turn to outer turn of induction coil, impedance of coil turns are reduced
and that is due to maximum proximity effect experience by centre turn compared to other turns.
That makes higher voltage drop and power loss in centre turn of the induction coil. This analysis
helps the designer for designing of efficient cooling system for induction coil.
1 2 3 4 5 6 7 8 9
5
10
15
20
25
30
35
40
45
50
55
1 kHz
5 kHz
9 kHz
VoltageinV
Turn
1 2 3 4 5 6 7 8 9
0.00
0.01
0.02
0.03
0.04
0.05
1 kHz
5 kHz
9 kHz
Impedenceinohm
Turn
9(a) 9(b)
Figure 9. (a) Turn voltage, 9(b) Turn impedance
Figure 10 shows that electromagnetic power induced in graphite crucible at different frequencies.
From figure, it is observed that during initial period, power induced in graphite crucible is first
reduced and then increase and the reason for this is uniqueness of graphite electrical conductivity,
which has both positive temperature coefficient and negative temperature coefficient as shown in
figure 5(a).
11. International Journal of Electromagnetics ( IJEL ), Vol 1, No 1, August 2016
45
0 200 400 600 800 1000
0
10000
20000
30000
40000
50000
60000
1 kHz
9 kHz9 kHz
5 kHz
ElectromagneticpowerinW/m
Time in Sec
Figure 10. Electromagnetic power in crucible at different frequency
Figure 11 shows the variation of electromagnetic power in crucible at different thickness. From
figure it is observed that as crucible thickness increase induce power is increases upto a level and
after that it reduces. This is due to the skin effect, means 84%~ power is induced in one skin
depth and 98 % ~ in second skin depth.
0 20 40 60 80
30000
40000
50000
60000
70000
EMpowerincrucibleinW/m
Crucible thickness in mm
Figure 11. Electromagnetic power in crucible at different thickness
7. CONCLUSION
Transient numerical analysis of Induction Heating of Graphite Crucible was carried out
successfully at different frequency. Electromagnetic power induced in graphite crucible is
analyzed at different temperature that gives better understanding of heat transfer in graphite
crucible. Voltage at each coil turns are analyzed, that helps in designing of cooling system for
induction coil. Effect of crucible wall thickness on induced power is analyzed, that helps for
selection of optimum crucible thickness.
12. International Journal of Electromagnetics ( IJEL ), Vol 1, No 1, August 2016
46
REFERENCES
[1] A.W.Moore, “The induction heating of pyrolytic graphite”, Pergamon press ltd. Printed in Great
Britain, carbon 1967, Vol.5, pp 159-165.
[2] Valery Rudnev, Don loveless, Raymond Cook, Micah Black, “Handbook of Induction heating”,
INDUCTOHEAT,Inc., Madison Heights,Michigan,U.S.A.
[3] E.J Davies and P.G. Simpson, Induction Heating Handbook. McGraw Hill, 1979.
[4] C Chabodez, S Clain, R.Glardon,D, D Mari, J.Rappaz, M. Swierkosz, “Numerical modeling in
induction heating for axisymmetric geometries”, IEEE transactions on Magnetics.Vol33, No.1
January 1997, P 739-745.
[5] Jiin-Yuh Jang, Yu-Wei Chiu, Numerical and experimental thermal analysis for a metallic hollow
cylinder subjected to step-wise electro-magnetic induction heating, Applied thermal engineering
2007, 1883-1894.
[6] Andrzej Krawczyk, John A. Tegopoulos, “Numerical modeling of eddy current,” Oxford science
publications, P-17.
[7] Ion Carstea, Daniela Carstea, Alexandru Adrian Carstea, “A domain decomposition approach for
coupled field in induction heating device,” 6th WEEAS international conference on system science
and simulation in engineering, Venice, Italy, November 21-23, 2007, P63-70
[8] B. patidar, M. T. Saify, M. M. Hussain, S. K. Jha and A. P. Tiwari, “Analytical, Numerical and
Experimental Validation of Coil Voltage in Induction Melting Process", International Journal of
Electromagnetics(IJEL), Vol 1, No. 1, 2015, pp19-31 , [2015]
[9]Bo Yun Jang, Joon Soo Kim, Young Soo Ahn, “ Induction heating process using segmented
graphite crucible for silicon heating”, Solar Energy Materials & Solar Cell 95 (2011),pp 101-106.
[9] Y.Favennec, V.Labbe, F.Bay, “Induction heating processes optimization a general optimal control
approach”, Journal of Computational Physics 183 (2003), pp68-94.