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Introduction to Power Device Technology

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Notes

  1. 1.

    This function and the normal error function erf(x) = 1 – erfc(x) appear also in other diffusion processes (see next section, case c). Often the following analytical approximation for x ≥ 0 is sufficient:

    \( erfc(x) \approx { \exp }( - 1.14x - 0.7092x^{2.122} ) \)

    Its maximum error in the range 10-7 < erfc < 1 is 2‰. For negative arguments appearing in Eq. (4.16) below the approximation can be used considering that erf(–x) = –erf(x) = erfc(x) – 1.

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Authors and Affiliations

  1. Chair Power Electronics and Electromagnetic Compatibility, Faculty of ET/IT, Chemnitz University of Technology, Chemnitz, Sachsen, Germany

    Josef Lutz

  2. Neu-Isenburg, Germany

    Heinrich Schlangenotto

  3. Semikron Elektronik GmbH & Co. KG, Nuremberg, Germany

    Uwe Scheuermann

  4. Chair Power Generation and Storage Systems, Faculty of ET/IT, E.ON ERC, RWTH Aachen University, Aachen, Germany

    Rik De Doncker

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Lutz, J., Schlangenotto, H., Scheuermann, U., De Doncker, R. (2018). Introduction to Power Device Technology. In: Semiconductor Power Devices. Springer, Cham. https://doi.org/10.1007/978-3-319-70917-8_4

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