ABSTRACTThis brief presents a modeling approach for a nonlinear series resistor–inductor–diode (RLD) circuit powered by either a direct or alternating voltage source—a configuration commonly encountered in power electronics and energy conversion systems. Due to the diode's nonlinear current–voltage characteristic and the inductor's dynamic response, the circuit is governed by a nonlinear differential equation. Because this equation lacks a closed‐form analytical solution, a novel approximate solution is proposed by applying a g‐function. This method enables accurate and robust computation across various operating conditions without relying on piecewise approximations or purely numerical solvers. The results are verified through MATLAB/SIMSCAPE simulations, demonstrating excellent agreement. Additionally, the MATLAB code is provided to support reproducibility and further research.
ABSTRACT
This paper proposes a new analytical approach for nonlinear series resistor–inductor–diode (R–L–D) circuits based on the Padé rational [1/1] approximation of the diode's exponential characteristic. Starting from the nonlinear differential equation governing the circuit, explicit approximate closed‐form expressions for time as a function of current, as well as invertible approximate closed‐form expressions for current as a function of time, are derived. The proposed method...
Abstract
For the accurate planning of overhead lines, a catenary–based calculation is used, because the conductor curve in the span takes the shape of the catenary. On the other hand, there is a parabola–based calculation, which is considered approximate and is usually applied in the case of overhead line with spans up to 400 metres, since the difference between the catenary and the parabola is then almost negligible. While there are generally no differences in important formulas...
ABSTRACT
This brief paper presents a compact approach for modeling currents and voltages in a single‐phase diode rectifier with a series resistance (R)–inductance (L) load. To address the nonlinear behavior during conduction intervals, approximate closed‐form solutions are derived using the
g
‐function. These expressions enable fast and accurate prediction of system response without relying on numerical solvers, significantly...
ABSTRACT
This short communication presents approximate solutions for a nonlinear diode circuit followed by an RC shunt filter. The diode's exponential current–voltage characteristic introduces strong nonlinearity, making the analysis challenging. By applying the Lambert W function, closed‐form approximations of the circuit voltages and currents are derived. These expressions are further enhanced through a
g
‐function‐based...
ABSTRACT
The diode–series–parallel resistance circuit, which includes both series and shunt (parasitic) resistances, represents a generalized framework for diode‐based electrical models with broad applicability in electronics and power engineering. This paper presents analytical and approximate solutions for this circuit, utilizing the
g
‐function. To the best of our knowledge, this is the first application of the...
