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In this paper we consider the possibility to use numerical simulations for a computer assisted analysis of integrability of dynamical systems. We formulate a rather general method of recovering the obstruction to integrability for the…

Dynamical Systems · Mathematics 2014-11-18 Vladimir Salnikov

Stability analysis of a power network and its characterization (voltage or angle) is an important problem in the power system community. However, these problems are mostly studied using linearized models and participation factor analysis.…

Systems and Control · Electrical Eng. & Systems 2021-10-15 Subhrajit Sinha , Pranav Sharma , Venkataramana Ajjarapu , Umesh Vaidya

This letter proposes a predictor-corrector method to strike a balance between simulation accuracy and efficiency by appropriately tuning the numerical integration step length of a power system time-domain simulation. Numerical tests…

Computational Engineering, Finance, and Science · Computer Science 2019-02-07 Yiming Cai , Junbo Zhang , Weizhou Yu

We propose a framework employing stochastic differential equations to facilitate the long-term stability analysis of power grids with intermittent wind power generations. This framework takes into account the discrete dynamics which play a…

Systems and Control · Computer Science 2017-03-10 Xiaozhe Wang , Tao Wang , Hsiao-Dong Chiang , Jianhui Wang , Hui Liu

Due to the energy transition, today's electrical networks include synchronous machines and inverter-based resources interfacing renewable energies such as wind turbines, solar panels, and Battery Energy Storage Systems to the grid. In such…

Systems and Control · Electrical Eng. & Systems 2024-02-08 Pamela Zoghby , Bogdan Marinescu , Antoine Rosse , Gregoire Prime

The small-signal stability of multi-terminal HVDC systems, which is related to the dynamic interactions among different VSCs through the coupling of DC and AC networks, has become one of the important issues for the safety and stable…

Systems and Control · Electrical Eng. & Systems 2023-01-02 Wanning Zheng , Li Chai

The increasing use of power electronics converters to integrate renewable energy sources has been subject of concern due to the resonance oscillatory phenomena caused by their interaction with poorly damped AC networks. Early studies are…

Systems and Control · Electrical Eng. & Systems 2021-11-02 Luis Orellana , Luis Sainz , Eduardo Prieto-Araujo , Oriol Gomis-Bellmunt

This paper examines small-signal stability of electrical networks composed dominantly of three-phase grid-following inverters. We show that the mere existence of a high-voltage power flow solution does not necessarily imply small-signal…

Optimization and Control · Mathematics 2020-05-22 Saber Jafarpour , Victor Purba , Sairaj V. Dhople , Brian Johnson , Francesco Bullo

This two-part paper proposes a compositional and equilibrium-free approach to analyzing power system stability. In Part I, we have established the stability theory and proposed stability conditions based on the delta dissipativity. In Part…

Systems and Control · Electrical Eng. & Systems 2025-06-16 Peng Yang , Yifan Su , Xiaoyu Peng , Hua Geng , Feng Liu

The partitioned approach for the numerical integration of power system differential algebraic equations faces inherent numerical stability challenges due to delays between the computation of state and algebraic variables. Such delays can…

Numerical Analysis · Mathematics 2024-12-17 Ahmad Ali , Haya Monawwar , Hantao Cui

Assessing the risk of low-probability high-impact transient instability (TI) events is crucial for ensuring robust and stable power system operation under high uncertainty. However, direct Monte Carlo (DMC) simulation for rare TI event…

Systems and Control · Electrical Eng. & Systems 2025-03-05 Jingyu Liu , Xiaoting Wang , Xiaozhe Wang

In this work, we propose a numerical approach for simulations of large deformations of interfaces in a level set framework. To obtain a fast and viable numerical solution in both time and space, temporal discretization is based on the…

General Mathematics · Mathematics 2023-05-30 Aymen Laadhari , Ahmad Deeb

This paper studies the problem of selecting a minimum-size set of input nodes to guarantee stability of a networked system in the presence of uncertainties and time delays. Current approaches to input selection in networked dynamical…

Optimization and Control · Mathematics 2017-12-13 Zhipeng Liu , Yao Long , Andrew Clark , Phillip Lee , Linda Bushnell , Daniel Kirschen , Radha Poovendran

Efficiently estimating system dynamics from data is essential for minimizing data collection costs and improving model performance. This work addresses the challenge of designing future control inputs to maximize information gain, thereby…

Systems and Control · Electrical Eng. & Systems 2025-04-29 Joshua Ott , Mykel J. Kochenderfer , Stephen Boyd

The goal of this paper is to study the impact of the dynamic nature of bus voltage magnitudes and phase angles, which constitute the state of the power system, on the phasor measurement unit (PMU) placement problem. To facilitate this…

Systems and Control · Computer Science 2013-11-18 K. G. Nagananda

The paper suggests a generalization of the Sign-Perturbed Sums (SPS) finite sample system identification method for the identification of closed-loop observable stochastic linear systems in state-space form. The solution builds on the…

Systems and Control · Electrical Eng. & Systems 2024-06-11 Szabolcs Szentpéteri , Balázs Csanád Csáji

The initialization process of a novel power system transient simulation scheme for stability studies is put forward, by further developing a "time-domain harmonic power-flow algorithm". The initialization process is formulated as an…

Systems and Control · Electrical Eng. & Systems 2020-09-01 Sheng Lei , Alexander Flueck

The increasing integration of renewable energy sources into electrical grids necessitates a paradigm shift toward advanced control schemes that guarantee safe and stable operations with scalable properties. Accordingly, this paper…

Systems and Control · Electrical Eng. & Systems 2026-05-26 Cornelia Skaga , Mahdieh S. Sadabadi , Gilbert Bergna-Diaz

This paper studies the semi-analytic solution (SAS) of a power system's differential-algebraic equation. A SAS is a closed-form function of symbolic variables including time, the initial state and the parameters on system operating…

Dynamical Systems · Mathematics 2017-02-09 Nan Duan , Kai Sun

Time-varying phasor-based analysis of subsynchronous oscillations (SSOs) involving grid-following converters (GFLCs) and its benchmarking with electromagnetic transient (EMT) models have so far been restricted to highly simplified grid…

Systems and Control · Electrical Eng. & Systems 2024-06-25 Lilan Karunaratne , Nilanjan Ray Chaudhuri , Amirthagunaraj Yogarathnam , Meng Yue