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A new simulation technique to obtain the synchronized steady-state solutions existing in coupled oscillator systems is presented. The technique departs from a semi-analytical formulation presented in previous works. It extends the model of…

Systems and Control · Electrical Eng. & Systems 2024-04-22 Pedro Umpierrez , Victor Arana , Sergio Sancho

The PID controller remains the most widely adopted control architecture, with groundbreaking success across extensive implications. However, optimal parameter tuning for PID controller remains a critical challenge. Existing theories…

Systems and Control · Electrical Eng. & Systems 2025-07-17 Zimao Sheng , Hongan Yang , Jiakang Wang , Tong Zhang

We propose a set of general coupling conditions to select a coupling profile (a set of coupling matrices) from the linear flow matrix (LFM) of dynamical systems for realizing global stability of complete synchronization (CS) in identical…

Adaptation and Self-Organizing Systems · Physics 2017-08-02 Suman Saha , Arindam Mishra , E. Padmanaban , Sourav K. Bhowmick , Prodyot K. Roy , Bivas Dam , Syamal K. Dana

This paper investigates voltage stability in inverter-based power systems concerning fold and saddle-node bifurcations. An analytical expression is derived for the sensitivity of the stability margin using the normal vector to the…

Systems and Control · Electrical Eng. & Systems 2025-11-10 Sushobhan Chatterjee , Sijia Geng

We present a novel, integrated control framework designed to achieve seamless transitions among a spectrum of inverter operation modes. The operation spectrum includes grid-forming (GFM), grid-following (GFL), static synchronous compensator…

Systems and Control · Electrical Eng. & Systems 2024-10-14 Alireza Askarian , Jaesang Park , Srinivasa Salapaka

The small-signal impedance modeling of modular multilevel converter (MMC) is the key for analyzing resonance and stability of MMC-based ac power electronics systems. MMC is a converter system with a typical multi-frequency response due to…

Systems and Control · Computer Science 2017-05-03 Jing Lyu , Qiang Chen , Xu Cai , Marta Molinas

In this work, we investigate grid-forming (GFM) control for dc/ac voltage source converters (VSC) under unbalanced system conditions and unbalanced faults. To fully leverage the degrees of freedom of VSCs, we introduce the concept of…

Systems and Control · Electrical Eng. & Systems 2023-07-31 Prajwal Bhagwat , Dominic Groß

The increasing penetration of converter-interfaced generators (CIGs) intensifies concerns over small-signal voltage and synchronization stability. While existing theories treat these two stability issues distinctly, practical wisdom in…

Systems and Control · Electrical Eng. & Systems 2026-05-14 Fuyilong Ma , Lidong Zhang , Wangqianyun Tang , Waisheng Zheng , Huanhai Xin , Linbin Huang , Lennart Harnefors

This paper presents a novel approach to stability analysis for grid-connected converters utilizing Scaled Relative Graphs (SRG). Our method effectively decouples grid and converter dynamics, thereby establishing a comprehensive and…

Systems and Control · Electrical Eng. & Systems 2026-01-23 Eder Baron-Prada , Adolfo Anta , Florian Dörfler

This paper develops a multivariable current control strategy for inverter-based resources (IBRs) based on optimal control theory to enhance their dynamic performance and grid synchronization stability. The structure of the implemented…

Systems and Control · Electrical Eng. & Systems 2025-09-11 Hassan Yazdani , Ali Maleki , Saeed Lotfifard , Ali Saberi

We present a numerical method to analyze the relative stability of closed-loop single-input-single-output (SISO) dead-time systems on a given left complex half-plane for all positive delays. The well-known boundary crossing method for the…

Systems and Control · Electrical Eng. & Systems 2020-03-20 Suat Gumussoy

Grid-forming voltage source converters (GFM-VSCs) are emerging as a solution for integrating renewable energy resources (RERs) into power systems. GFM-VSCs need a self-synchronisation strategy to ensure that all converters and generators in…

Systems and Control · Electrical Eng. & Systems 2025-09-05 Regulo E. Avila-Martinez , Xavier Guillaud , Javier Renedo , Luis Rouco , Aurelio Garcia-Cerrada , Lukas Sigrist

We introduce a novel approach to feedback stability analysis for linear time-invariant (LTI) systems, overcoming the limitations of the sectoriality assumption in the small phase theorem. While phase analysis for single-input single-output…

Optimization and Control · Mathematics 2025-03-18 Eder Baron-Prada , Adolfo Anta , Alberto Padoan , Florian Dörfler

Transients of a grid-synchronized voltage source converter (VSC) are closely related to over- currents and voltages occurred under large disturbances (e.g. a grid fault). Previous analysis in evaluating these transients usually neglect the…

Systems and Control · Computer Science 2018-07-02 Chen Zhang , Marta Molinas , Xu Cai , Atle Rygg

Sustained oscillations (SOs) are commonly observed in systems dominated by converters. Under specific conditions, even though the origin of SOs can be identified through negative damping modes using conventional linear analysis, utilizing…

Systems and Control · Electrical Eng. & Systems 2023-10-10 Chongbin Zhao , Qirong Jiang

The grid-following and grid-forming controls in voltage-source converters are considered as different operation modes and the synchronization mechanism of them are studied separately. In this article, the intrinsic relationships between…

Systems and Control · Electrical Eng. & Systems 2022-07-08 Kaizhe Zhang

The power synchronization control (PSC) has been increasingly used with voltage-source converters (VSCs) connected to the weak ac grid. This paper presents an in-depth analysis on the transient stability of the PSC-VSC by means of the phase…

Systems and Control · Computer Science 2018-10-30 Heng Wu , Xiongfei Wang

This paper shows that a necessary and sufficient condition for the small-signal stability of an inverter-integrated power system can be expressed in terms of semidefinite matrix inequalities determined only by the synchronous reactance of…

Systems and Control · Electrical Eng. & Systems 2025-03-27 Taku Nishino , Yoshiyuki Onishi , Takayuki Ishizaki

The electromagnetic (EM) features of reconfigurable intelligent surfaces (RISs) fundamentally determine their operating principles and performance. Motivated by these considerations, we study a single-input single-output (SISO) system in…

Information Theory · Computer Science 2024-04-15 Nemanja Stefan Perović , Le-Nam Tran , Marco Di Renzo , Mark F. Flanagan

Generalized short circuit ratio (gSCR) for gird strength assessment of multi-infeed high voltage direct current (MIDC) systems is a rigorous theoretical extension of traditional short circuit ratio (SCR), which allows the considerable…

Systems and Control · Electrical Eng. & Systems 2020-12-21 Guanzhong Wang , Huanhai Xin , Di Wu , Zhiyi Li , Linbin Huang , Ping Ju