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Recently, a novel method based on coding partitions [1]-[4] has been used to derive power series expansions to previously intractable problems. In this method the coefficients at $k$ are determined by summing the contributions made by each…

Combinatorics · Mathematics 2012-03-23 Victor Kowalenko

Combined heat and power systems facilitate efficient interactions between individual energy sectors for higher renewable energy accommodation. However, the feasibility of operational strategies is difficult to guarantee due to the presence…

Systems and Control · Electrical Eng. & Systems 2021-03-22 Yibao Jiang , Can Wan , Audun Botterud , Yonghua Song , Zhao Yang Dong

We consider the worst-case load-shedding problem in electric power networks where a number of transmission lines are to be taken out of service. The objective is to identify a pre-specified number of line outage that leads to the maximum…

Optimization and Control · Mathematics 2018-10-22 Fu Lin

Two non-overlapping domain decomposition methods are presented for the mixed finite element formulation of linear elasticity with weakly enforced stress symmetry. The methods utilize either displacement or normal stress Lagrange multiplier…

Numerical Analysis · Mathematics 2017-11-28 Eldar Khattatov , Ivan Yotov

In this paper, we propose a model predictive control based operation strategy that allows for power exchange between interconnected microgrids. Particularly, the approach ensures that each microgrid benefits from power exchange with others.…

Systems and Control · Computer Science 2023-11-14 A. K. Sampathirao , S. Hofmann , J. Raisch , C. A. Hans

The increasing number of Distributed Energy Resources (DERs) in the emerging Smart Grid, has created an imminent need for intelligent multiagent frameworks able to utilize these assets efficiently. In this paper, we propose a novel DER…

Artificial Intelligence · Computer Science 2023-07-18 Stavros Orfanoudakis , Georgios Chalkiadakis

In this paper, we propose a distributed control strategy for the design of an energy market. The method relies on a hierarchical structure of aggregators for the coordination of prosumers (agents which can produce and consume energy). The…

Systems and Control · Computer Science 2018-06-28 Lorenzo Nespoli , Vasco Medici

The growing integration of renewable energy sources into distribution networks poses significant challenges to frequency and voltage stability due to their intermittent nature and low-inertia dynamics. This paper proposes a multilevel…

Systems and Control · Electrical Eng. & Systems 2026-01-13 Xian Wu , Jan H. van Schuppen , Hai Xiang Lin

In analysis and control of large-scale nonlinear dynamical systems, a distributed approach is often an attractive option due to its computational tractability and usually low communication requirements. Success of the distributed control…

Dynamical Systems · Mathematics 2018-03-09 Abdullah Maruf , Soumya Kundu , Enoch Yeung , Marian Anghel

Distribution networks will experience more installations of distributed generation (DG) that is unpredictable and stochastic in nature. Greater distributed control and intelligence will allow challenges such as voltage control to be handled…

Systems and Control · Electrical Eng. & Systems 2025-09-10 Badr Al Faiya , Stephen McArthur , Ivana Kockar

This paper proposes a holistic framework for parameter coordination of a power electronic-interfaced microgrid interconnection against natural disasters. The paper identifies a transient stability issue in a microgrid interconnection. Based…

Systems and Control · Electrical Eng. & Systems 2020-06-25 Tong Huang , Hongbo Sun , Kyeong Jin Kim , Daniel Nikovski , Le Xie

With the rapid adoption of emerging inverter-based resources, it is crucial to understand their dynamic interactions across the network and ensure stability. This paper proposes a systematic and efficient method to determine the optimal…

Systems and Control · Electrical Eng. & Systems 2024-12-23 Sushobhan Chatterjee , Sijia Geng

The exploding power consumption of AI and cloud datacenters (DCs) intensifies the long-standing concerns about their carbon footprint, especially because DCs' need for constant power clashes with volatile renewable generation needed for…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-11-13 Liuzixuan Lin , Andrew A. Chien

We discuss the frequency of desynchronization events in power grids for realistic data input. We focus on the role of time correlations in the fluctuating power production and propose a new method for implementing colored noise that…

Adaptation and Self-Organizing Systems · Physics 2022-11-11 Tim Ritmeester , Hildegard Meyer-Ortmanns

Electrical Distribution Systems are extensively penetrated with Distributed Energy Resources (DERs) to cater the energy demands with the general perception that it enhances the system's resilience. However, integration of DERs may adversely…

Systems and Control · Electrical Eng. & Systems 2023-11-07 Divyanshi Dwivedi , Pradeep Kumar Yemula , Mayukha Pal

The present work develops hybrid multigrid methods for high-order discontinuous Galerkin discretizations of elliptic problems. Fast matrix-free operator evaluation on tensor product elements is used to devise a computationally efficient PDE…

Computational Physics · Physics 2020-06-24 Niklas Fehn , Peter Munch , Wolfgang A. Wall , Martin Kronbichler

This paper addresses the challenge of reconstructing a 3D power spectrum map from sparse, scattered, and incomplete spectrum measurements. It proposes an integrated approach combining interpolation and block-term tensor decomposition (BTD).…

Signal Processing · Electrical Eng. & Systems 2024-02-28 Hao Sun , Junting Chen

Power distribution in remote communities often depends on off-grid microgrids. In order to address the reliability challenges for these microgrids, we develop a mathematical model for topology design, capacity planning, and operation of…

Optimization and Control · Mathematics 2018-06-07 Sreenath Chalil Madathil , Harsha Nagarajan , Russell Bent , Scott J. Mason , Sandra D. Eksioglu , Mowen Lu

A numerical algorithm for solving mantle convection problems with strongly variable viscosity is presented. Equations for conservation of mass and momentum for highly viscous and incompressible fluids are solved iteratively by a multigrid…

Geophysics · Physics 2009-11-10 Masanori Kameyama , Akira Kageyama , Tetsuya Sato

Though considerable effort has been devoted to exploiting generation-side and demand-side operational flexibility in order to cope with uncertain renewable generations, grid-side operational flexibility has not been fully investigated. In…

Optimization and Control · Mathematics 2018-06-08 Jia Li , Feng Liu , Zuyi Li , Chengcheng Shao , Xinyuan Liu