caa a22 4500 44582073X CHVBK 20180317145243.0 cr unu---uuuuu 170323e20110601xx s 000 0 eng 10.1007/s10825-010-0324-9 doi (NATIONALLICENCE)springer-10.1007/s10825-010-0324-9 Self-heating in a coupled thermo-electric circuit-device model [Elektronische Daten] [Markus Brunk, Ansgar Jüngel] The self-heating of a coupled thermo-electric circuit-semiconductor system is modeled and numerically simulated. The system consists of semiconductor devices, an electric network with resistors, capacitors, inductors, and voltage sources, and a thermal network. The flow of the charge carriers is described by the energy-transport equations coupled to a heat equation for the lattice temperature. The electric circuit is modeled by the network equations from modified nodal analysis coupled to a thermal network describing the evolution of the temperatures in the lumped and distributed circuit elements. The three subsystems are coupled through thermo-electric, electric circuit-device, and thermal network-device interface conditions. The resulting system of nonlinear partial differential-algebraic equations is discretized in time by the 2-stage backward difference formula and in space by a mixed finite-element method. Numerical simulations of a one-dimensional ballistic diode and a frequency multiplier circuit containing a pn-junction diode illustrate the heating of the semiconductor device and circuit resistors. Springer Science+Business Media LLC, 2010 Energy-transport equations nationallicence Lattice heating nationallicence Thermal network nationallicence Mixed finite-element method nationallicence Partial differential-algebraic equations nationallicence Brunk Markus Department C, Institute for Mathematics, Bergische Universität Wuppertal, Gaußstrasse 20, 42119, Wuppertal, Germany aut Jüngel Ansgar Institute for Analysis and Scientific Computing, Vienna University of Technology, Wiedner Hauptstr. 8-10, 1040, Wien, Austria aut Journal of Computational Electronics Springer US; http://www.springer-ny.com 10/1-2(2011-06-01), 163-178 1569-8025 10:1-2<163 2011 10 10825 https://doi.org/10.1007/s10825-010-0324-9 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10825-010-0324-9 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Brunk Markus Department C, Institute for Mathematics, Bergische Universität Wuppertal, Gaußstrasse 20, 42119, Wuppertal, Germany aut NATIONALLICENCE 700 1- Jüngel Ansgar Institute for Analysis and Scientific Computing, Vienna University of Technology, Wiedner Hauptstr. 8-10, 1040, Wien, Austria aut NATIONALLICENCE 773 0- Journal of Computational Electronics Springer US; http://www.springer-ny.com 10/1-2(2011-06-01), 163-178 1569-8025 10:1-2<163 2011 10 10825 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer