Heat Transfer Model for a UI Core Inductor

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Presentation transcript:

Heat Transfer Model for a UI Core Inductor Jamal Alsawalhi School of Electrical and Computer Engineering Purdue University 11/16/2018

Outline Ways Heat can Transfer and Analogy to Ohms law Goals to be achieved Experiment Setup Thermal Equivalent Circuit Assumptions Made Procedure for Experiment Results Uncertainties in Result New Design Modeling 11/16/2018

Three Ways for Heat to Transfer Conduction ∆T = q (L/kA) k : Thermal Conductivity (W/mK) Convection ∆T = q (1/hA) h: Convection heat transfer coefficient (W/m2K) Radiation q = σ (T4) T : Temperature of the black body σ : Stefan-Boltzmann constant 11/16/2018

Analogy to Ohms Law Define R Therefore:- Rconduction= (L/kA) (Note: Similar to Reluctance) Rconvection = (1/hA) Therefore:- q  I ∆ T  V 11/16/2018

Goal of Experiment Get an idea about the heat transfer in the UI core inductor at steady state conditions In other words, need a mechanism that will allow predicting the surface temperature of the UI core inductor given a certain power input. 11/16/2018

Experiment Setup 11/16/2018

Experiment Setup 11/16/2018

Thermal Equivalent Circuit 11/16/2018

Two Major Assumptions The heat distribution in the UI core inductor has reached equilibrium Assume that the heat transfer due to radiation is negligible 11/16/2018

Applying Assumptions Rtot = 1/(2hA)  (Ts - Tamb) = q (1/2hA) 11/16/2018

Experiment Procedure Input a certain power and measure Ts Determine h from the equation provided 11/16/2018

Results 11/16/2018

Uncertainties and Future Concerns The dependency of h on the temperature change and geometry of problem Is h the same for top and bottom surfaces? Defining the area Mechanism for measuring temperature Covering the sides of the UI core with fiber Time needed for equilibrium to take place 11/16/2018

New Design 11/16/2018

New design Thermal Modeling 11/16/2018

References [l] W.G. Hurley, W.H Wolfle, J.G. Breslin, “Optimized Transformer Design: inclusive of high- frequency effects,” IEEE Trans. On Power Electron., VOL13, No.4, pp. 651-659, July 1998 [2] W. H. McAdams, Heat Trasmission, 3rd ed. New York: McGraw-Hill, 1954, ch. 7 [3] F. Farahmand, F.P Dawson, J. D. Lavers, “Temperature Rise and Free Convection Heat Transfer Coefficient for 2-D Pot-Core Inductors and Transformers,” IEEE, 2005 11/16/2018