Four-Parameter Taylor Series-Based Light-Emitting-Diode Model

This paper presents a light-emitting-diode (LED) model based on the four-parameter Taylor series to describe the V-I characteristic of the LED at different junction temperatures. Therefore, in order to precisely model the LED nonlinear characteristics at different junction temperatures, an improved Taylor series-based LED model is proposed according to the four available parameters: 1) maximum operating point; 2) rated operating point; 3) knee point; and 4) temperature coefficient obtained from the LED V-I curves. Furthermore, in order to perform the dc and small-signal simulation and analyses of the LED drivers at different junction temperatures, the proposed model can be used to derive the LED dc and small-signal equivalent resistances at different junction temperatures. Finally, the measured results are compared with the modeled V-I curves, dc equivalent resistances, and small-signal equivalent resistances of the experimental LED at different junction temperatures.

[1]  Jonathan W. Kimball,et al.  A Dynamic Model of Switched-Capacitor Power Converters , 2014, IEEE Transactions on Power Electronics.

[2]  Mario Huemer,et al.  Modeling, Control, and Implementation of DC–DC Converters for Variable Frequency Operation , 2014, IEEE Transactions on Power Electronics.

[3]  N. Narendran,et al.  Life of LED-based white light sources , 2005, Journal of Display Technology.

[4]  M. Kazimierczuk.  Small-Signal Modeling of Open-Loop PWM Z-Source Converter by Circuit-Averaging Technique , 2013, IEEE Transactions on Power Electronics.

[5]  Xiaogao Xie,et al.  Multioutput LED Drivers With Precise Passive Current Balancing , 2013, IEEE Transactions on Power Electronics.

[6]  M. S. Roedgaard,et al.  Forward Conduction Mode Controlled Piezoelectric Transformer-Based PFC LED Drive , 2013, IEEE Transactions on Power Electronics.

[7]  P. Baureis.  Compact modeling of electrical, thermal and optical LED behavior , 2005, Proceedings of 35th European Solid-State Device Research Conference, 2005. ESSDERC 2005..

[8]  Xiaobing Luo,et al.  Effect mechanism of moisture diffusion on LED reliability , 2010, 3rd Electronics System Integration Technology Conference ESTC.

[9]  Shang-Ping Ying,et al.  Charaterizing LEDs for Mixture of Colored LED light sources , 2006, 2006 International Conference on Electronic Materials and Packaging.

[10]  Z. Ban,et al.  Simplified Averaged Models of DC–DC Power Converters Suitable for Controller Design and Microgrid Simulation , 2013, IEEE Transactions on Power Electronics.

[11]  John D. Bullough,et al.  What is Useful Life for White Light LEDs , 2001 .

[12]  Ruihong Zhang,et al.  A TRIAC-dimmable LED lamp driver with wide dimming range , 2013, 2013 Twenty-Eighth Annual IEEE Applied Power Electronics Conference and Exposition (APEC).

[13]  Jih-Sheng Lai,et al.  A Novel Valley-Fill SEPIC-Derived Power Supply Without Electrolytic Capacitor for LED Lighting Application , 2012, IEEE Transactions on Power Electronics.

[14]  K. H. Loo,et al.  Design and Analysis of $LCC$ Resonant Network for Quasi-Lossless Current Balancing in Multistring AC-LED Array , 2013, IEEE Transactions on Power Electronics.

[15]  Huang-Jen Chiu,et al.  LED Backlight Driving System for Large-Scale LCD Panels , 2007, IEEE Transactions on Industrial Electronics.

[16]  I. Hino,et al.  LED Pulse response analysis considering the distributed CR constant in the peripheral junction , 1979, IEEE Transactions on Electron Devices.

[17]  J. M. Alonso,et al.  Effects of the junction temperature on the dynamic resistance of white LEDs , 2012, 2012 Twenty-Seventh Annual IEEE Applied Power Electronics Conference and Exposition (APEC).

[18]  Paolo Mattavelli,et al.  Optimal Trajectory Control of LLC Resonant Converters for LED PWM Dimming , 2014, IEEE Transactions on Power Electronics.

[19]  Aleksandar Prodic,et al.  Minimum-Deviation Digital Controller IC for DC–DC Switch-Mode Power Supplies , 2013, IEEE Transactions on Power Electronics.

[20]  Changliang Xia,et al.  Equivalent Switch Circuit Model and Proportional Resonant Control for Triple Line-Voltage Cascaded Voltage-Source Converter , 2013, IEEE Transactions on Power Electronics.

[21]  Dushan Boroyevich,et al.  Unterminated Small-Signal Behavioral Model of DC–DC Converters , 2013, IEEE Transactions on Power Electronics.

[22]  D. H. Mash,et al.  Light-emitting diodes , 1977, Nature.

[23]  Yi-Chun Chang,et al.  Optimal design of LED array for single-loop CCM buck-boost LED driver , 2011, 2011 IEEE Industry Applications Society Annual Meeting.

[24]  Ray-Lee Lin,et al.  Taylor-Series-Expression-Based Equivalent Circuit Models of LED for Analysis of LED Driver System , 2013, IEEE Transactions on Industry Applications.

[25]  Ray-Lee Lin,et al.  Equivalent Circuit Model of Light-Emitting-Diode for System Analyses of Lighting Drivers , 2009, 2009 IEEE Industry Applications Society Annual Meeting.

[26]  C.C. Lee,et al.  An electrical model with junction temperature for light-emitting diodes and the impact on conversion efficiency , 2005, IEEE Electron Device Letters.