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 is validated through systematic comparison with numerical simulations conducted in MATLAB/Simscape and with existing analytical methods from the literature. The results demonstrate that the Padé‐based approximate solutions achieve high accuracy, stable transient response, and significantly reduced computational complexity, making the approach suitable for efficient and rapid analysis and design of nonlinear electronic circuits.
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...
