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In this paper, we address the problem of coordinating a set of distributed energy resources (DERs) to regulate voltage in power distribution systems to desired levels. To this end, we formulate the voltage control problem as an optimization…

Optimization and Control · Mathematics 2020-06-09 Hanchen Xu , Alejandro D. Domínguez-García , Peter W. Sauer

Modeling multiphysics processes in porous media requires preconditioned iterative linear solvers to enable efficient simulations at industry-relevant scales. These solvers are typically composed of sub-algorithms that target individual…

Numerical Analysis · Mathematics 2025-10-07 Yury Zabegaev , Inga Berre , Eirik Keilegavlen

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

With the increased complexity of power systems due to the integration of smart grid technologies and renewable energy resources, more frequent changes have been introduced to system status, and the traditional serial mode of state…

Systems and Control · Computer Science 2018-03-12 Chen Yuan , Yuqi Zhou , Guofang Zhang , Guangyi Liu , Renchang Dai , Xi Chen , Zhiwei Wang

Fast approximations of power flow results are beneficial in power system planning and live operation. In planning, millions of power flow calculations are necessary if multiple years, different control strategies or contingency policies are…

Machine Learning · Computer Science 2020-08-24 Florian Schaefer , Jan-Hendrik Menke , Martin Braun

Probabilistic power flow (PPF) plays a critical role in power system analysis. However, the high computational burden makes it challenging for the practical implementation of PPF. This paper proposes a model-based deep learning approach to…

Signal Processing · Electrical Eng. & Systems 2019-09-17 Yan Yang , Zhifang Yang , Juan Yu , Baosen Zhang

We present an acceleration method for sequences of large-scale linear systems, such as the ones arising from the numerical solution of time-dependent partial differential equations coupled with algebraic constraints. We discuss different…

Numerical Analysis · Mathematics 2024-03-29 Margherita Guido , Daniel Kressner , Paolo Ricci

The use of machine learning algorithms to predict behaviors of complex systems is booming. However, the key to an effective use of machine learning tools in multi-physics problems, including combustion, is to couple them to physical and…

This paper introduces a novel data-driven convergence booster that not only accelerates convergence but also stabilizes solutions in cases where obtaining a steady-state solution is otherwise challenging. The method constructs a…

Fluid Dynamics · Physics 2025-04-09 Xukun Wang , Yilang Liu , Xiang Yang , Weiwei Zhang

The rise of advanced data technologies in electric power distribution systems enables operators to optimize operations but raises concerns about data security and consumer privacy. Resulting data protection mechanisms that alter or…

Optimization and Control · Mathematics 2024-10-17 Mehrnoush Ghazanfariharandi , Robert Mieth

Power system state estimation (PSSE) is commonly formulated as weighted least-square (WLS) algorithm and solved using iterative methods such as Gauss-Newton methods. However, iterative methods have become more sensitive to system operating…

Systems and Control · Electrical Eng. & Systems 2021-01-12 Narayan Bhusal , Raj Mani Shukla , Mukesh Gautam , Mohammed Benidris , Shamik Sengupta

Accurately modeling power distribution grids is crucial for designing effective monitoring and decision making algorithms. This paper addresses the partial observability issue of data-driven distribution modeling in order to improve the…

Signal Processing · Electrical Eng. & Systems 2021-10-08 Shanny Lin , Hao Zhu

As power systems evolve with the integration of renewable energy sources and the implementation of smart grid technologies, there is an increasing need for flexible and scalable modeling approaches capable of accurately capturing the…

Systems and Control · Electrical Eng. & Systems 2025-11-06 Amir Bahador Javadi , Philip Pong

We formulate extensions to Data Driven Computing for both distance minimizing and entropy maximizing schemes to incorporate time integration. Previous works focused on formulating both types of solvers in the presence of static equilibrium…

Computational Physics · Physics 2017-06-14 Trenton Kirchdoerfer , Michael Ortiz

The development of cost-effective highperformance parallel computing on multi-processor supercomputers makes it attractive to port excessively time consuming simulation software from personal computers (PC) to super computes. The power…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-05-23 Ning Lu , Z. Todd Taylor , David P. Chassin , Ross T. Guttromson , R. Scott Studham

Learning-based approaches are increasingly leveraged to manage and coordinate the operation of grid-edge resources in active power distribution networks. Among these, model-based techniques stand out for their superior data efficiency and…

Systems and Control · Electrical Eng. & Systems 2025-05-01 Daniel Glover , Parikshit Pareek , Deepjyoti Deka , Anamika Dubey

Frequency response optimized integrators considering second order derivative are proposed in this paper. Based on the proposed numerical integrators, and others which also consider second order derivative, this paper puts forward a novel…

Systems and Control · Electrical Eng. & Systems 2020-12-08 Sheng Lei , Alexander Flueck

This paper proposes several explicit and implicit multistep frequency response optimized integrators considering first or second order derivative. A prediction-based method aiming at accelerating a novel power system transient simulation…

Systems and Control · Electrical Eng. & Systems 2021-02-16 Sheng Lei , Alexander Flueck

Calibrating simulation models that take large quantities of multi-dimensional data as input is a hard simulation optimization problem. Existing adaptive sampling strategies offer a methodological solution. However, they may not sufficiently…

Methodology · Statistics 2024-07-17 Pranav Jain , Sara Shashaani , Eunshin Byon

Synthesizing optimal controllers for dynamical systems often involves solving optimization problems with hard real-time constraints. These constraints determine the class of numerical methods that can be applied: computationally expensive…

Optimization and Control · Mathematics 2022-03-16 Federico Berto , Stefano Massaroli , Michael Poli , Jinkyoo Park