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In this paper, we propose an analytical framework to quantify the amount of data samples needed to obtain accurate state estimation in a power system - a problem known as sample complexity analysis in computer science. Motivated by the…

最优化与控制 · 数学 2019-09-20 Joshua Comden , Marcello Colombino , Andrey Bernstein , Zhenhua Liu

Traditional largest normalize residual (LNR) test for bad data identification relies on state estimation residuals and thus can only be implemented after running Power System State Estimation (PSSE). LNR may fail to detect bad data in…

最优化与控制 · 数学 2018-04-17 Hossein Ghassempour Aghamolki , Zhixin Miao , Lingling Fan

State estimation in power distribution systems is a key component for increased reliability and optimal system performance. Well understood in transmission systems, state estimation is now an area of active research in distribution…

信号处理 · 电气工程与系统科学 2017-12-06 C. Carquex , C. Rosenberg , K. Bhattacharya

State estimation (SE) of water distribution networks (WDNs) is difficult to solve due to nonlinearity/nonconvexity of water flow models, uncertainties from parameters and demands, lack of redundancy of measurements, and inaccurate flow and…

系统与控制 · 电气工程与系统科学 2020-04-28 Shen Wang , Ahmad F. Taha , Lina Sela , Nikolaos Gatsis , Marcio H. Giacomoni

Optimal power flow (OPF) is an important problem in the operation of electric power systems. Due to the OPF problem's non-convexity, there may exist multiple local optima. Certifiably obtaining the global solution is important for certain…

最优化与控制 · 数学 2019-06-17 Alireza Barzegar , Daniel K. Molzahn , Rong Su

In this paper, a novel linear formulation for power system state estimation that simultaneously treats conventional and synchrophasor measurements is proposed. A linear circuit model for conventional measurements is introduced to enable a…

信号处理 · 电气工程与系统科学 2018-12-04 Aleksandar Jovicic , Marko Jereminov , Larry Pileggi , Gabriela Hug

To address computational challenges associated with power flow nonconvexities, significant research efforts over the last decade have developed convex relaxations and approximations of optimal power flow (OPF) problems. However, benefits…

系统与控制 · 电气工程与系统科学 2023-02-24 Babak Taheri , Daniel K. Molzahn

This paper examines the problem of state estimation in power distribution systems under low-observability conditions. The recently proposed constrained matrix completion method which combines the standard matrix completion method and power…

最优化与控制 · 数学 2020-06-09 Yajing Liu , April Sagan , Andrey Bernstein , Rui Yang , Xinyang Zhou , Yingchen Zhang

This paper is about computationally tractable methods for power system parameter estimation and Optimal Experiment Design (OED). Here, the main motivation is that OED has the potential to significantly increase the accuracy of power system…

系统与控制 · 电气工程与系统科学 2022-09-19 Xu Du , Alexander Engelmann , Timm Faulwasser , Boris Houska

It has been recently proven that the semidefinite programming (SDP) relaxation of the optimal power flow problem over radial networks is exact under technical conditions such as not including generation lower bounds or allowing load…

最优化与控制 · 数学 2015-10-19 Burak Kocuk , Santanu S. Dey , X. Andy Sun

A new approach to solving a class of rankconstrained semi-definite programming (SDP) problems, which appear in many signal processing applications such as transmit beamspace design in multiple-input multiple-output (MIMO) radar, downlink…

信息论 · 计算机科学 2016-10-10 Matthew W. Morency , Sergiy A. Vorobyov

Power flow feasibility assessment is computationally challenging for unbalanced three-phase distribution networks. This paper develops a vectorized semidefinite program (SDP) based on the bus injection model (BIM) and reformulates its dual…

最优化与控制 · 数学 2026-05-26 Bohang Fang , Lijun Ding , Cong Chen

A variety of algorithms have been proposed to address the power system state estimation problem in the presence of uncertainties in the data. However, less emphasis has been given to handling perturbations in the model. In the context of…

系统与控制 · 电气工程与系统科学 2025-10-21 Ayan Das , Anushka Sharma , Anamitra Pal

This paper introduces a general multi-class approach to weakly supervised classification. Inferring the labels and learning the parameters of the model is usually done jointly through a block-coordinate descent algorithm such as…

机器学习 · 计算机科学 2012-07-03 Armand Joulin , Francis Bach

Security-Constrained Unit Commitment (SCUC) is one of the most significant problems in secure and optimal operation of modern electricity markets. New sources of uncertainties such as wind speed volatility and price-sensitive loads impose…

最优化与控制 · 数学 2017-01-25 Mahdi Mehrtash , Mahdi Raoofat , Mohammad Mohammadi , Mohammad Hossein Zakernejad

Serving as an essential prerequisite for modern power system operation, robust state estimation (RSE) could effectively resist noises and outliers in measurements. The emerging neural network (NN) based end-to-end (E2E) learning framework…

系统与控制 · 电气工程与系统科学 2025-12-01 Yibo Ding , Wenzhuo Shi , Mengzhao Duan , Yuhong Zhao , Jiaqi Ruan , Jian Zhao , Zhao Xu

An estimation problem of fundamental interest is that of phase synchronization, in which the goal is to recover a collection of phases using noisy measurements of relative phases. It is known that in the Gaussian noise setting, the maximum…

最优化与控制 · 数学 2016-11-02 Huikang Liu , Man-Chung Yue , Anthony Man-Cho So

We present a new generic approach to the condensed-matter ground-state problem which is complementary to variational techniques and works directly in the thermodynamic limit. Relaxing the ground-state problem, we obtain semidefinite…

强关联电子 · 物理学 2012-08-08 Thomas Barthel , Robert Hübener

Distributed state estimation (DSE) is considered as a more robust and reliable alternative for centralized state estimation (CSE) in power system. Especially, taking into account the future power grid, so called smart grid in which…

系统与控制 · 电气工程与系统科学 2021-04-12 Sajjad Asefi , Elena Gryazina , Helder Leite

We consider the problem of estimating the locations of a set of points in a k-dimensional euclidean space given a subset of the pairwise distance measurements between the points. We focus on the case when some fraction of these measurements…

信息论 · 计算机科学 2012-10-19 Venkatesan Ekambaram , Giulia Fanti , Kannan Ramchandran