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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

This letter considers optimizing user association in a heterogeneous network via utility maximization, which is a combinatorial optimization problem due to integer constraints. Different from existing solutions based on convex optimization,…

Information Theory · Computer Science 2018-06-12 Xietian Huang , Wei Xu , Guo Xie , Shi Jin , Xiaohu You

In this paper, we introduce a privacy-preserving stable diffusion framework leveraging homomorphic encryption, called HE-Diffusion, which primarily focuses on protecting the denoising phase of the diffusion process. HE-Diffusion is a…

Cryptography and Security · Computer Science 2024-05-03 Yaojian Chen , Qiben Yan

Nonlinear state estimation (SE), with the goal of estimating complex bus voltages based on all types of measurements available in the power system, is usually solved using the iterative Gauss-Newton method. The nonlinear SE presents some…

Machine Learning · Computer Science 2022-09-09 Ognjen Kundacina , Mirsad Cosovic , Dragisa Miskovic , Dejan Vukobratovic

It is well known that closed-form analytical solutions for AC power flow equations do not exist in general. This paper proposes a multi-dimensional holomorphic embedding method (MDHEM) to obtain an explicit approximate analytical AC…

Systems and Control · Computer Science 2019-03-26 Chengxi Liu , Bin Wang , Xin Xu , Kai Sun , Claus Leth Bak

Optimizing high-performance power electronic equipment, such as power converters, requires multiscale simulations that incorporate the physics of power semiconductor devices and the dynamics of other circuit components, especially in…

Systems and Control · Electrical Eng. & Systems 2025-01-20 Qingyuan Shi , Chijie Zhuang , Jiapeng Liu , Bo Lin , Xiyu Peng , Dan Wu , Zhicheng Liu , Rong Zeng

This paper provides an enhanced modeling of the contingency response that collectively reflects high-fidelity physical and operational characteristics of power grids. Integrating active and reactive power contingency responses into the…

Systems and Control · Electrical Eng. & Systems 2021-02-18 Tuncay Altun , Ramtin Madani , Alper Atamturk , Ross Baldick , Ali Davoudi

Fast and accurate optimization and simulation is widely becoming a necessity for large scale transmission resiliency and planning studies such as N-1 SCOPF, batch contingency solvers, and stochastic power flow. Current commercial tools,…

Systems and Control · Electrical Eng. & Systems 2021-03-30 Aayushya Agarwal , Amritanshu Pandey , Larry Pileggi

Buildings rarely perform as designed/simulated and and there are numerous tangible benefits if this gap is reconciled. A new scientific yet pragmatic methodology - called Enhanced Parameter Estimation (EPE) - is proposed that allows…

Systems and Control · Electrical Eng. & Systems 2021-03-15 Kris Subbarao , Srijan Didwania , T. Agami Reddy , Marlin Addison

Homomorphic encryption (HE) is a privacy-preserving technique that enables computation directly over ciphertext. Unfortunately, a key challenge for HE is that implementations can be impractically slow and have limits on computation that can…

Cryptography and Security · Computer Science 2022-03-08 Hsuan Hsiao , Vincent Lee , Brandon Reagen , Armin Alaghi

Deregulation of energy markets, penetration of renewables, advanced metering capabilities, and the urge for situational awareness, all call for system-wide power system state estimation (PSSE). Implementing a centralized estimator though is…

Machine Learning · Statistics 2012-07-03 Vassilis Kekatos , Georgios B. Giannakis

Increasing penetration of inverter-based resources, flexible loads, and rapidly changing operating conditions make higher-order $N\!-\!k$ contingency assessment increasingly important but computationally prohibitive. Exhaustive evaluation…

Machine Learning · Computer Science 2026-02-11 Lihao Mai , Chenhan Xiao , Yang Weng

This paper introduces a stochastic hybrid system (SHS) framework in state space model to capture sensor, communication, and system contingencies in modern power systems (MPS). Within this new framework, the paper concentrates on the…

Systems and Control · Electrical Eng. & Systems 2024-01-31 Shuo Yuan , Le Yi Wang , George Yin , Masoud H. Nazari

In power system steady-state estimation (PSSE), one needs to consider (1) the need for robust statistics, (2) the nonconvex transmission constraints, (3) the fast-varying nature of the inputs, and the corresponding need to track optimal…

Optimization and Control · Mathematics 2025-01-08 Pavel Rytir , Ales Wodecki , Martin Malachov , Pavel Baxant , Premysl Vorac , Miloslava Chladova , Jakub Marecek

This report presents three Moving Horizon Estimation (MHE) methods for discrete-time partitioned linear systems, i.e. systems decomposed into coupled subsystems with non-overlapping states. The MHE approach is used due to its capability of…

Systems and Control · Electrical Eng. & Systems 2024-02-01 Marcello Farina , Giancarlo Ferrari-Trecate , Riccardo Scattolini

Growing uncertainty from renewable energy integration and distributed energy resources motivate the need for advanced tools to quantify the effect of uncertainty and assess the risks it poses to secure system operation. Polynomial chaos…

Optimization and Control · Mathematics 2019-10-16 David Métivier , Marc Vuffray , Sidhant Misra

We describe the numerical scheme for the discretization and solution of 2D elliptic equations with strongly varying piecewise constant coefficients arising in the stochastic homogenization of multiscale composite materials. An efficient…

Numerical Analysis · Mathematics 2019-04-01 Venera Khoromskaia , Boris N. Khoromskij , Felix Otto

After a sudden disturbance, the energy balance of generators is disturbed, and the power outputs of synchronous generators vary as their rotor angles shift from their equilibrium points. This trend essentially presents the versatile…

Signal Processing · Electrical Eng. & Systems 2020-01-07 Faycal Znidi , Hamzeh Davarikia , Mohammad Arani , Masoud Barati

Verifiable Homomorphic Encryption (VHE) is a cryptographic technique that integrates Homomorphic Encryption (HE) with Verifiable Computation (VC). It serves as a crucial technology for ensuring both privacy and integrity in outsourced…

Cryptography and Security · Computer Science 2025-10-14 Jung Hee Cheon , Daehyun Jang

A variety of statistical and machine learning methods are used to model crash frequency on specific roadways with machine learning methods generally having a higher prediction accuracy. Recently, heterogeneous ensemble methods (HEM),…

Machine Learning · Computer Science 2022-07-25 Numan Ahmad , Behram Wali , Asad J. Khattak