Analytical solution to diode-containing circuits has been
investigated for a long time, and many researchers have offered
approximations using the Lambert-W function and numerical/iterative
methods. However, a simple method without complex calculations and
iterations has not been proposed in the literature. This paper proposes
a two-step method to model a diode with the Schottky equation and solve
the diode circuit with the transcendental equations. The proposed method
depends on extracting two fitting coefficients using the LMS algorithm
and utilizing them in a logarithm-based hand solution. The proposed
solution method is applied to several multi-diode circuits and compared
with the SPICE simulations. Diode currents in case studies are
calculated by hand with no error by considering three digits after the
comma. The proposed method is also compared with the state of art
studies and tested with commercially available 40XX series diodes and
1N4532 high-speed diode. The method not only solves the transcendental
diode equation but also characterizes the commercially available actual
diodes. Case study results and comparisons with the studies in the
literature prove the efficiency of the proposed hand solution method for
the transcendental diode equation. Besides, the method brings a new
approach to the straightforward solution of multi-diode circuits.
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