A comparison of modeling techniques for temperature fields of inductive heating plates

Glebov, A. O.; Карпов, С. В.; Карпушкин, С. В.

doi:10.1134/s0005117914060113

Cited by 6 publications

(4 citation statements)

References 2 publications

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“…Thus, the statement of the optimization problem of design parameters for the heating plates of hydraulic presses involves the search for the minimum of the criterion (1) under conditions: -for induction heating plates -(2), (3), (6), (8); -for resistive heating plates -(2)-(5) (7), (8) -for steam heating plates -(2), (3), (8), (9).…”

Section: Resultsmentioning

confidence: 99%

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Design optimization of heating plates for hydraulic presses

2017

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Abstract. The paper describes the problem of design optimization of heating plates for hydraulic presses used for heat treatment of rubber, plastics, and metals. The problem involves finding the number and capacity of heaters or the heating steam pressure, the appropriate configuration of slots for heaters or steam supply channels to ensure the required heating rate of the plate to the operating temperature, and the permissible level of non-uniformity of the temperature field of its working surface. The adequacy of the mathematical description of the thermal process in heating plates for presses is confirmed by comparing the results of the solution of mathematical models with the data of the industrial experiments. The results of solving the problem for induction heating plates and resistive heating plates are presented.

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Section: Resultsmentioning

confidence: 99%

“…where Qavi is the average power of the i-th inductor for the period [0,τz], W, see in [6]. Rounded corners of inductors shown in Fig.…”

Section: Fig1 Designs Of Heating Plates For Pressesmentioning

confidence: 99%

Design optimization of heating plates for hydraulic presses

2017

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“…1. Thus, for electromagnetic and thermal analyses a unified finite element mesh is used; changing only the type of the finite elements when conducting the thermal analysis [2,3]. Solution of the three-dimensional nonlinear equations (1)-(2) using the finite element method (FEM) is costly in terms of computing time because of the low rate of convergence of iterations and time-dependent electromagnetic processes.…”

Section: Methods For Calculating Equivalent Magnetic Permeabilitymentioning

confidence: 99%

Calculation of equivalent magnetic permeability of ferromagnetic materials for modeling of three-dimensional eddy current fields

2017

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Abstract. The paper presents a method of calculating a constant value of magnetic permeability of ferromagnetic materials, equivalent to the basic magnetization curve by the criterion of real power. The proposed method makes it possible to use linear differential equations of the electromagnetic field in the analysis of three-dimensional fields of eddy currents in ferromagnetic materials, thus significantly reducing the calculation time. We propose a method of calculating the power of inductors using two-dimensional axisymmetric models. The scope of the proposed methods is limited to the case of placement of the inductor inside the ferromagnetic body.

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“…The nonlinear dependence of magnetic field induction on its strength in ferromagnetic bodies considerably complicates the calculation of heat release. The existing methods for calculating the induction heating equipment have the following disadvantages: 1) the use of engineering calculation methods [1] based on the solution of Maxwell's linear equations in onedimensional formulation, using empirical data does not allow for production and analysis of the specific heat distribution in ferromagnetic bodies of a complex shape; 2) the use of simplified mathematical models of induction heating process do not take into account the non-linearity characteristics of ferromagnetic materials [2,3] and can lead to significant errors in calculating the heat generation by eddy currents; 3) the approximation of the inductor geometry by the bodies of canonical shape [4] leads to large errors in most practical problems.…”

Section: Statement Of the Problemmentioning

confidence: 99%