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Using the lumped circuit equations, we derive a stability criterion for superconducting pinned states in two-dimensional arrays of Josephson junctions. The analysis neglects quantum, thermal, and inductive effects, but allows disordered…

Superconductivity · Physics 2009-10-31 Mauricio Barahona , Steven H. Strogatz

This paper deals with the output feedback stabilization problem of nonlinear multi-input multi-output systems having an uncertain input gain matrix. It is assumed that the system has a well-defined vector relative degree and that the zero…

Systems and Control · Computer Science 2019-03-19 Wonseok Ha , Juhoon Back

This paper proposes a wideband composite sequence impedance model (WCSIM)-based analysis method to evaluate the interactions in power-electronic-based power systems subjected to unbalanced grid faults or with unbalanced loads. The…

Systems and Control · Electrical Eng. & Systems 2025-10-16 Zhi Liu , Chengxi Liu , Jiangbei Han , Rui Qiu , Mingyuan Liu

Field/circuit coupling is a common approach when a lumped representation of a certain electrotechnical device is not accurate enough. To exploit existing code and underlying properties of the coupled systems, cosimulation techniques such as…

Numerical Analysis · Mathematics 2026-05-01 Idoia Cortes Garcia , Jonas Pade

The passivity index, a quantitative measure of a system's passivity deficiency or excess, has been widely used in stability analysis and control. Existing studies mostly rely on scalar forms of indices, which are restrictive for…

Systems and Control · Electrical Eng. & Systems 2026-01-09 Xi Ru , Xiaoyu Peng , Xinghua Chen , Zhaojian Wang , Peng Yang , Feng Liu

As bulk synchronous generators in the power grid are replaced by distributed generation interfaced through power electronics, inertia is removed from the system, prompting concerns over grid stability. Different metrics are available for…

Optimization and Control · Mathematics 2017-03-09 Mohammad Pirani , John W. Simpson-Porco , Baris Fidan

Virtual inertia is an effective control approach to attenuate sudden voltage changes during transient events in low-inertia DC grids. While methods have been proposed to implement virtual inertia, its impact on DC grid stability in the…

Systems and Control · Electrical Eng. & Systems 2023-02-09 Hao Tu , Hui Yu , Srdjan Lukic

This work newly establishes the feasibility and practical value of a sum of squares (SOS)-based stability verification procedure for applied control problems utilizing neural-network-based controllers (NNCs). It successfully verifies…

Systems and Control · Electrical Eng. & Systems 2025-08-22 Alvaro Detailleur , Dalim Wahby , Guillaume Ducard , Christopher Onder

The ever-increasing use of renewable energy sources has underlined the role of power electronic converters as an interface between these resources and the power grid. One application of these converters is in three-phase inverters utilized…

Systems and Control · Electrical Eng. & Systems 2024-02-02 Arash Esfandiari , Mohammad Naser Hashemnia

Grid-interactive power converters are normally synchronized to the grid using phase-locked loops (PLLs). The performance of the PLLs is affected by the non-ideal conditions in the sensed grid voltage such as harmonics, frequency deviations…

Systems and Control · Computer Science 2017-11-16 Abhijit Kulkarni , Vinod John

The increasing number of inverter based resources (IBRs) connected to modern power systems necessitate accurate modeling of IBRs in stability studies. Measurement-based modeling approaches can create an impedance/admittance model of IBRs to…

Systems and Control · Electrical Eng. & Systems 2022-07-28 Sushrut Thakar , Deepak Ramasubramanian

Ever-growing electrical loads are having a huge impact on the operation and stability of the power system. Moreover, the integration of renewable generation poses various challenges to the future power system, especially, regarding…

Systems and Control · Electrical Eng. & Systems 2021-11-23 Umair Shahzad

Robust simulation is essential for reliable operation and planning of transmission and distribution power grids. At present, disparate methods exist for steady-state analysis of the transmission (power flow) and distribution power grid…

Signal Processing · Electrical Eng. & Systems 2018-08-10 Amritanshu Pandey , Marko Jereminov , Martin R. Wagner , David M. Bromberg , Gabriela Hug , Larry Pileggi

We report conditions on a switching signal that guarantee that solutions of a switched linear systems converge asymptotically to zero. These conditions are apply to continuous, discrete-time and hybrid switched linear systems, both those…

Optimization and Control · Mathematics 2014-02-11 Jesus San Martin , Anthony G. O'Farrell

A new method for the stability assessment of inverter-based microgrids is presented in this paper. Directly determining stability boundaries by searching the multidimensional space of inverters' droop gains is a computationally prohibitive…

Systems and Control · Electrical Eng. & Systems 2021-11-02 Andrey Gorbunov , Jimmy Chih-Hsien Peng , Janusz W. Bialek , Petr Vorobev

Grid forming control applied to power converters that interface storage or renewable generation to the power grid, has been identified as a potential solution to facilitate a substantial share of converter-based renewable generation in the…

Systems and Control · Electrical Eng. & Systems 2021-06-28 Kanakesh Vatta Kkuni , Guangya Yang

First we present an approach to formulate unbalanced three-phase power flow problems for general networks that explicitly separates device models and network models. A device model consists of (i) an internal model and (ii) a conversion…

Optimization and Control · Mathematics 2022-07-27 Steven H. Low

This study proposes a control strategy to ensure the safe operation of modern power systems with high penetration of inverter-based resources (IBRs) within an optimal operation framework. The objective is to obtain operating points that…

Systems and Control · Electrical Eng. & Systems 2026-01-26 Francesca Rossi , Juan Carlos Olives-Camps , Eduardo Prieto-Araujo , Oriol Gomis-Bellmunt

With the rapid development of renewable and distributed energies, the underlying dynamics of power systems are no longer dominated by large synchronous generators, but by numerous dynamic components with heterogeneous characteristics. In…

Systems and Control · Electrical Eng. & Systems 2019-07-30 Peng Yang , Feng Liu , Zhaojian Wang , Shicong Ma

The phase-locked loop (PLL) used in the doubly fed induction generator (DFIG) can cause frequency coupling phenomena, which will give negative resistance characteristics ofthe DFIG at low frequency, resulting in stability issues under weak…

Systems and Control · Electrical Eng. & Systems 2023-07-20 Xiaoling Xiong , Bochen Luo , Longcan Li , Ziming Sun , Frede Blaabjerg