Elsevier

Microelectronics Reliability

Volume 51, Issues 9–11, September–November 2011, Pages 1933-1937
Microelectronics Reliability

Structure oriented compact model for advanced trench IGBTs without fitting parameters for extreme condition: Part I

https://doi.org/10.1016/j.microrel.2011.07.050Get rights and content

Abstract

A device structure based compact model for advanced trench gate IGBTs is proposed. The model is formulated only with device structure parameters so that no fitting parameters are required. The model is applicable to extreme conditions such as under very low or high temperatures. The validity of the model formulation is confirmed with two-dimensional TCAD simulation for voltage range of 1.2 kV and 3.3 kV IGBTs, and for temperature range of 300 K and 450 K. In this paper conduction mode formulation is proposed which has the potential to be used for system level failure analysis.

Introduction

IGBT compact models, such as Hefner model [1], have been widely used in power electronics system and circuit design as the device has expanded the application from small appliances to EV/HEV and tractions, etc. [2], [3]. The compact models enable to simulate large scale IGBT inverters and systems for many cycle of switching, where TCAD simulation cannot cover.

Most of the IGBT compact models have been formulated based on the combination of physics based simplified analytical equations, equivalent circuits and behavior models with a number of fitting parameters. As far as the models are used within the predetermined validity confirmed operation range of the models, the circuit simulators effectively show the sufficiently accurate results. Once the condition exceeds the validity confirmed range, such as high temperature condition, the model requires re-fitting of the parameters so as to extend the validity range.

A novel formulation of IGBT compact model proposed in this paper eliminates the fitting parameters from the model equations and only uses the device structure parameters as the model parameters. This concept enables the new model to be used in extreme condition such as very low or high temperature and expands the compact model function from circuit optimization to circuit–device coupled optimization since the model can applicable for wide range of device structure thanks to eliminating fitting parameters. In result, for example, the model can be also applied to analyze current imbalance in a chip due to the lack of process uniformities.

The proposed model is designed to cover the advanced IGBT structures with the injection-enhancement structure with trench gate structure on the Cathode side [4] and low injection structure on the Anode side [5], which are called the thin wafer IGBTs or the field stop (FS) IGBTs with the improved tradeoff between on-state voltage drop and turn-off loss.

In this paper, we show the modeling approach and verification results. We compare calculation results between the model and two-dimensional TCAD simulation. The result shows that the model can represent latest improvement of IGBTs accurately. It would be able to apply for system level failure analysis with complicated control sequences and severe temperature condition.

Section snippets

N-base carrier distribution

Fig. 1 shows cross-sectional view of Trench gate IGBT. N-base carrier concentration n(x) can be formulated with carrier lifetime τ and diffusion length LA of high injection condition [6].LA2d2n(x)dx2=n(x)+τdn(x)dt

For the steady state conditions, time dependent term is omitted and the solution can be formed asn(x)=LA-dndx(x1)·coshx2-xLA+dndx(x2)·coshx-x1LAsinhx2-x1LAwhere x1 and x2 are positions of Anode edge and Cathode edge of N-base region as shown in Fig. 1. Eq. (2) means that N-base carrier

Model validation for variety of structure and temperature

The established model was verified by comparing with two-dimensional TCAD calculation results. We used two types of IGBTs; 1.2 kV thin wafer PT-IGBT and 3.3 kV IEGT for model validation. Table 1 shows physical constants used for the calculations by the established model and TCAD. Temperature dependence is considered for all three constants [8], [9]. Doping concentration dependence is also considered for carrier mobility and lifetime [10], [11]. Electron mobility degradation by normal electric

Conclusion

We proposed new compact model for Trench gate IGBT. The model is formulated by only physical parameters. The bipolar equation is formulated with injection efficiencies of Anode and Cathode side. Anode injection efficiency is formulated by doping concentration and junction depth of P-emitter and N-buffer. Cathode injection efficiency is formulated with trench gate structure dimensions and carrier mobility. Modeling should be easier because fitting parameters do not need to be adjusted. The model

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