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Describing function

About: Describing function is a research topic. Over the lifetime, 1742 publications have been published within this topic receiving 26702 citations.


Papers
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Proceedings ArticleDOI
23 Jan 2000
TL;DR: In this article, the authors explore the saturation phenomenon for a nonlinear inductance and find that when the current load is high, the inductance always suffers from saturation or hysteresis.
Abstract: Conventionally, passive filter design is very important to many power electronic circuits and power systems. For the design of these power electronic circuits and power systems, how to obtain accurate corner frequencies becomes a very important issue. It is known that when the load is large, the inductance for an inductor always changes. This is due to the fact that when the current load is high, the inductance always suffers from saturation or hysteresis. Because the inductance is nonlinear, it is very difficult to estimate the actual value for the nonlinear inductance during large current situations. In this paper, the authors explore the saturation phenomenon for a nonlinear inductance. With the describing function method, one can linearize the nonlinear inductor and then estimate the inductance during large current situations. Therefore, the bandwidth for low-pass, high-pass and notch filters can be also calculated very accurately. It can be found by the describing function method that when the current is very large, the corner frequencies or bandwidth frequencies will drift to a larger value in the low-pass filter. The drift value of bandwidth frequencies can be easily calculated by the describing function. This phenomenon can be verified by simulation and experimental results.
Journal ArticleDOI
TL;DR: In this article, it was shown that the random-input describing function is the best linear approximation to an instantaneous nonlinearity in the sense of minimum mean-squared error, which is important to the accuracy of approximate analysis and synthesis techniques for systems with nonlinear elements.
Abstract: The random-input describing function is the best linear approximation to an instantaneous nonlinearity in the sense of minimum mean-squared error. It is shown here that the describing function also satisfies a more comprehensive criterion which is important to the accuracy of approximate analysis and synthesis techniques for systems with nonlinear elements.
Proceedings ArticleDOI
24 Nov 2003
TL;DR: Some effective methods are extended, including the gain-phase margin tester method, the describing function method and the parameter plane method, to predict the limit cycles of fuzzy control systems, which are nonlinear.
Abstract: In this paper, we extend some effective methods, including the gain-phase margin tester method, the describing function method and the parameter plane method, to predict the limit cycles of fuzzy control systems. In general, fuzzy control systems are nonlinear. By use of the classical method of describing functions, a fuzzy controller may be linearized first. The stability of the equipment linearization system with adjustable parameters is then analyzed due to the stability equations and parameter plane methods. For the robust design, a novel way is proposed to determine the gain margin and phase margin, which limit cycles, can occur. Two examples are offered to illustrate the design procedure. First, the fuzzy control system with a third-order linear plant is considered. In addition, this approach is also extended to the fuzzy control system with nonlinearity. The results of computer simulation can verify its validity.
Proceedings ArticleDOI
Yi Huang1, Chun Cheung1
01 Mar 2017
TL;DR: The describing function approach is used to extend the modeling of hysteretic mode control from the PWM mode to the P WM/PFM dual mode and a single zero transfer function is presented and several engineering approximations are applied to represent the dynamic characteristics of the Pwm/P FM hysterettic modulator.
Abstract: In this paper, the describing function approach is used to extend the modeling of hysteretic mode control from the PWM mode to the PWM/PFM dual mode A detailed circuit configuration of the PFM modulator and derivation of the model are introduced Based on the derived model, a single zero transfer function is presented and several engineering approximations are applied to represent the dynamic characteristics of the PWM/PFM hysteretic modulator A closed loop analysis is performed to assist the system designer with understanding the modulator
Journal ArticleDOI
H. Haneda1, T. Maruhashi1
TL;DR: In this article, a new and practical method is developed for evaluating approximately both dc and fundamental ac components of waveforms in steady-state thyristor circuits, which can be applied to any configuration of linear time-invariant circuits containing several thyristors.

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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
202312
202230
202142
202057
201953
201847