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This paper presents a non-linear stability analysis for dc-microgrids in both, interconnected mode and island operation with primary control. The proposed analysis is based on the fact that the dynamical model of the grid is a gradient…

Optimization and Control · Mathematics 2019-01-07 Alejandro Garces

DC microgrids are becoming popular as effective means to integrate various renewable energy resources. Constant power loads (CPLs) may yield instability due to the negative impedance characteristic. This paper analyzes the stability of the…

Systems and Control · Computer Science 2018-04-24 Zhangjie Liu , Mei Su , Yao Sun , Hua Han , Xiaochao Hou , Josep M. Guerrero

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

The method for controlling a DC-DC converter is proposed to ensures the high quality control at large fluctuations in load currents by using differential gain control coefficients and second derivative control. Various implementations of…

Systems and Control · Electrical Eng. & Systems 2024-08-13 Alexander Domyshev , Elena Chistyakova , Aliona Dreglea , Denis Sidorov , Fang Liu

Circuits' and in particular DC/DC converters' switching behavior is analyzed in this paper using the equivalent control modeling of the dynamic systems' sliding mode regime. As a representative example and also being one of the most complex…

Systems and Control · Electrical Eng. & Systems 2026-04-23 Aleksandra Lekić , Dušan Stipanović

Dynamical compensation (DC) provides robustness to parameter fluctuations. As an example, DC enable control of the functional mass of endocrine or neuronal tissue essential for controlling blood glucose by insulin through a nonlinear…

Systems and Control · Electrical Eng. & Systems 2024-06-04 Akram Ashyani , Yu-Heng Wu , Huan-Wei Hsu , Torbjörn E. M. Nordling

In this thesis, set-valued maps are considered to model the $i-v$ characteristics of semiconductors like diode, and transistor. Using the circuit theory laws, a generalized equation is obtained. The main concern of the thesis is to…

Optimization and Control · Mathematics 2017-04-14 Iman Mehrabinezhad

Dynamics and stability of average current control of DC-DC converters are analyzed by sampled-data modeling. Orbital stability is studied and it is found unrelated to the ripple size of the orbit. Compared with the averaged modeling, the…

Systems and Control · Computer Science 2012-10-09 Chung-Chieh Fang

Large scale circuit simulation, such as power delivery network analysis, has become increasingly challenge in the VLSI design verification flow. Power delivery network can be simulated by both SPICE-type circuit-based model and…

Computational Engineering, Finance, and Science · Computer Science 2015-04-28 Q. He

Given a discrete-state continuous-time reactive system, like a digital circuit, the classical approach is to first model it as a state transition system and then prove its properties. Our contribution advocates a different approach: to…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-08-18 Matthias Fuegger , Christoph Lenzen , Ulrich Schmid

In this paper, we address the problem of stability and frequency regulation of a recently proposed inverter. In this type of inverter, the DC-side capacitor emulates the inertia of a synchronous generator. First, we remodel the dynamics…

Systems and Control · Computer Science 2017-10-17 Pooya Monshizadeh , Claudio De Persis , Tjerk Stegink , Nima Monshizadeh , Arjan van der Schaft

DC grids are prone to small-signal instabilities due to the presence of tightly controlled loads trying to keep the power consumption constant over range of terminal voltage variations. Th, so-called, constant power load (CPL) represents a…

Systems and Control · Computer Science 2018-03-07 Kathleen Cavanagh , Petr Vorobev , Konstantin Turitsyn

This paper addresses stability issues of DC networks with constant power loads (CPL). Common DC networks, such as automotive electrical systems and DC microgrids, typically have a step-up/down converter connected in one side to the main bus…

Optimization and Control · Mathematics 2015-03-31 Gustavo Cezar , Ram Rajagopal , Baosen Zhang

Stability guarantees are critical for cycle-by-cycle controlled dc-dc converters in consumer electronics and energy storage systems. Traditional stability analysis on cycle-by-cycle dc-dc converters is incomplete because the inductor…

Systems and Control · Electrical Eng. & Systems 2022-10-18 Xiaofan Cui , Al-Thaddeus Avestruz

We present an approach to learn about electricity and dc electric circuits by using real representational models based on the gravitational analogy. The additively manufactured models are deployed in a small-scale teaching intervention on…

Physics Education · Physics 2019-08-20 Oliver Bodensiek , Dörte Sonntag , Isabelle Glawe , Rainer Müller

This paper addresses the problem of output voltage regulation for multiple DC/DC converters connected to a microgrid, and prescribes a scheme for sharing power among different sources. This architecture is structured in such a way that it…

Optimization and Control · Mathematics 2017-01-12 Mayank Baranwal , Alireza Askarian , Srinivasa M. Salapaka

This paper proposes a gray-box stability analysis mechanism based on data-driven dynamic mode decomposition (DMD) for commercial grid-tied power electronics converters with limited information on its control parameters and topology. By…

Systems and Control · Electrical Eng. & Systems 2024-04-16 Rui Kong , Subham Sahoo , Yubo Song , Frede Blaabjerg

In this paper we present the co-simulation of a PID class power converter controller and an electrical circuit by means of the waveform relaxation technique. The simulation of the controller model is characterized by a fixed-time stepping…

Proportional-Integral-Derivative (PID) control has been the workhorse of control technology for about a century. Yet to this day, designing and tuning PID controllers relies mostly on either tabulated rules (Ziegler-Nichols) or on classical…

Optimization and Control · Mathematics 2023-11-21 Qi Mao , Yong Xu , Jianqi Chen , Jie Chen , Tryphon Georgiou

This paper studies stability analysis of DC microgrids with uncertain constant power loads (CPLs). It is well known that CPLs have negative impedance effects, which may cause instability in a DC microgrid. Existing works often study the…

Optimization and Control · Mathematics 2017-02-27 Jianzhe Liu , Wei Zhang , Giorgio Rizzoni
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