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A general critical condition of subharmonic oscillation in terms of the loop gain is derived. Many closed-form critical conditions for various control schemes in terms of converter parameters are also derived. Some previously known critical…

Systems and Control · Computer Science 2015-03-20 Chung-Chieh Fang

Dynamics and stability of average current-mode control of buck converters are analyzed by sampled-data and harmonic balance analyses. An exact sampled-data model is derived. A new continuous-time model "lifted" from the sampled-data model…

Systems and Control · Computer Science 2015-08-18 Chung-Chieh Fang

Design-oriented boundary conditions for subharmonic oscillations are of great interest recently. Based on a subharmonic oscillation boundary condition reported in a PhD thesis more than a decade ago, extended new boundary conditions are…

Systems and Control · Computer Science 2015-08-11 Chung-Chieh Fang

Study of the buck converter and cascaded system considering the voltage mode controller has been done. First the small signal analysis of a buck dc/dc converter is presented and its mathematical representation has been showed. Then, the…

Signal Processing · Electrical Eng. & Systems 2018-02-21 Maziar Isapour Chehardeh , Ehsan M Siavashi

Period doubling bifurcation in buck converters is studied by using the harmonic balance method. A simple dynamic model of a buck converter in continuous conduction mode under voltage mode or current mode control is derived. This model…

Systems and Control · Computer Science 2012-10-30 Chung-Chieh Fang , Eyad H. Abed

This paper addresses the problem of regulating the output voltage of a DC-DC buck-boost converter feeding a constant power load,which is a problem of current practical interest. Designing a stabilising controller is theoretically…

Optimization and Control · Mathematics 2017-12-22 Wei He , Romeo Ortega , Juan E. Machado , Shihua Li

A sensitivity conditioning control strategy is analyzed in this paper and it is applied to power electronic converters. The term is used to improve closed loop systems, such as power converters with cascaded inner and outer loop…

Systems and Control · Electrical Eng. & Systems 2022-10-07 Kaushik Gajula , Lalit Kishore Marepalli , Luis Herrera

Period doubling bifurcation leading to subharmonic oscillations are undesired phenomena in switching converters. In past studies, their prediction has been mainly tackled by explicitly deriving a discrete time model and then linearizing it…

Chaotic Dynamics · Physics 2012-04-24 A. El Aroudi

Nonlinear systems, such as switching DC-DC boost or buck converters, have rich dynamics. A simple one-dimensional discrete-time model is used to analyze the boost or buck converter in discontinuous conduction mode. Seven different control…

Systems and Control · Computer Science 2012-11-20 Chung-Chieh Fang

A general and exact critical condition of saddle-node bifurcation is derived in closed form for the buck converter. The critical condition is helpful for the converter designers to predict or prevent some jump instabilities or coexistence…

Systems and Control · Computer Science 2015-03-20 Chung-Chieh Fang

The paper considers a DC-DC buck power converter employing pulse width modulation and voltage feedback control. Global asymptotical stability of a periodical operating mode is examined. It is shown that the stability analysis can be reduced…

Optimization and Control · Mathematics 2007-05-23 Alexander N. Churilov

This paper explores the voltage regulation challenges in boost converter systems, which are critical components in power electronics due to their ability to step up voltage levels efficiently. The proposed control algorithm ensures…

Systems and Control · Electrical Eng. & Systems 2025-08-12 Yiwei Liu , Ziming Wang , Xin Wang , Yiding Ji

This study presents the modeling, control design, and performance analysis of a DC-DC buck converter using state-space averaging techniques. Buck converters are essential in modern power electronics for regulating DC voltages in renewable…

Systems and Control · Electrical Eng. & Systems 2025-07-15 Sampson E. Nwachukwu

Rapid developments in power distribution systems and renewable energy have widened the applications of dc--dc buck--boost converters in dc voltage regulation. Applications include vehicular power systems, renewable energy sources that…

Systems and Control · Electrical Eng. & Systems 2019-09-11 Carlos A. Soriano--Rangel , Wei He , Fernando Mancilla--David , Romeo Ortega

Conventional power system optimization framework is becoming less reliable and efficient due to the stability issues brought by the ever-increasing inverter-interfaced renewable penetration. To ensure system stability during system…

Systems and Control · Electrical Eng. & Systems 2026-05-26 Zhongda Chu , Fei Teng

By transforming an exact stability condition, a new Nyquist-like plot is proposed to predict occurrences of three typical instabilities in DC-DC converters. The three instabilities are saddle-node bifurcation (coexistence of multiple…

Systems and Control · Computer Science 2015-03-20 Chung-Chieh Fang

The increasing adoption of power electronic devices may lead to large disturbance and destabilization of future power systems. However, stability criteria are still an unsolved puzzle, since traditional small-signal stability analysis is…

Systems and Control · Electrical Eng. & Systems 2020-05-27 Fangyuan Chang , Xiaofan Cui , Mengqi Wang , Wencong Su , Alex Q. Huang

ZIP loads (the parallel combination of constant impedance loads, constant current loads and constant power loads) exist widely in power system. In order to stabilize buck converter based DC distributed system with ZIP load, an adaptive…

Systems and Control · Electrical Eng. & Systems 2024-12-13 Wei He , Yanqin Zhang , Yukai Shang , Mohammad Masoud Namazi , Wangping Zhou , Josep M. Guerrero

This article is the second part of a paper series about interference in extremum (i.e., peak or valley) current-mode control, which applies to both fixed and variable switching frequency power converters. Specifically, this part presents…

Systems and Control · Electrical Eng. & Systems 2022-06-22 Xiaofan Cui , Al-Thaddeus Avestruz

In the near future, point-to-point High Voltage Direct Current (HVDC) systems are expected to evolve into multi-terminal and meshed HVDC grids, predominantly adopting a bipolar HVDC configuration. Normally, bipolar HVDC systems operate in…

Systems and Control · Electrical Eng. & Systems 2026-01-21 Chandra Kant Jat , Francesco Giacomo Puricelli , Jef Beerten , Hakan Ergun , Dirk Van Hertem
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