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For reliable and secure power grid operation, AC state-estimation (ACSE) must provide certain guarantees of convergence while being resilient against bad-data. This paper develops a circuit-theoretic weighted least absolute value (WLAV)…

Systems and Control · Electrical Eng. & Systems 2021-03-02 Shimiao Li , Amritanshu Pandey , Larry Pileggi

In the course of the energy transition, the expansion of generation and consumption will change, and many of these technologies, such as PV systems, electric cars and heat pumps, will influence the power flow, especially in the distribution…

Conventional AC Power Flow (ACPF) solvers like Newton-Raphson (NR) face significant computational and convergence challenges in modern, large-scale power systems. This paper proposes a novel, two-stage hybrid method that integrates a…

Systems and Control · Electrical Eng. & Systems 2025-11-03 Mohamed Shamseldein

Developing a unified small-signal model for modern, large-scale power systems that remains accurate across a wide range of operating ranges presents a formidable challenge. Traditional methods, spanning mechanistic modeling, modal…

Systems and Control · Electrical Eng. & Systems 2025-08-26 Weicheng Liu , Di Liu , Songyan Zhang , Chao Lu

This paper introduces a unified approach for state estimation and control of nonlinear dynamic systems, employing the State-Dependent Riccati Equation (SDRE) framework. The proposed approach naturally extends classical linear quadratic…

Systems and Control · Electrical Eng. & Systems 2026-02-03 Azra Redzovic , Adnan Tahirovic

In this paper, we consider the optimal power flow (OPF) problem which consists in determining the power production at each bus of an electric network by minimizing the production cost. Our contribution is an exact solution algorithm for the…

Optimization and Control · Mathematics 2021-05-04 Amélie Lambert

The flexible traction power supply system (FTPSS) eliminates the neutral zone but leads to increased complexity in power flow coordinated control and power mismatch. To address these challenges, the methodology for power dispatch (PD) based…

Systems and Control · Electrical Eng. & Systems 2024-07-23 Ruofan Li , Qianhao Sun , Qifang Chen , Mingchao Xia

The Phasor measurement unit (PMU) measurements are mandatory to monitor the power system's voltage stability margin in an online manner. Monitoring is key to the secure operation of the grid. Traditionally, online monitoring of voltage…

Systems and Control · Electrical Eng. & Systems 2024-12-20 Kishan Prudhvi Guddanti , Amarsagar Reddy Ramapuram Matavalam , Yang Weng

We consider a power transmission system monitored with Phasor Measurement Units (PMUs) placed at significant, but not all, nodes of the system. Assuming that a sufficient number of distinct single-line faults, specifically pre-fault state…

Machine Learning · Statistics 2021-04-08 Andrei Afonin , Michael Chertkov

Data-driven state estimation (SE) is becoming increasingly important in modern power systems, as it allows for more efficient analysis of system behaviour using real-time measurement data. This paper thoroughly evaluates a phasor…

Machine Learning · Computer Science 2023-03-03 Ognjen Kundacina , Gorana Gojic , Mirsad Cosovic , Dragisa Miskovic , Dejan Vukobratovic

We present a non-conforming least squares method for approximating solutions of second order elliptic problems with discontinuous coefficients. The method is based on a general Saddle Point Least Squares (SPLS) method introduced in previous…

Numerical Analysis · Mathematics 2019-04-01 Constantin Bacuta , Jacob Jacavage

High-level penetration of intermittent renewable energy sources (RESs) has introduced significant uncertainties into modern power systems. In order to rapidly and economically respond to the fluctuations of power system operating state,…

Systems and Control · Electrical Eng. & Systems 2023-08-08 Pengfei Wu , Chen Chen , Dexiang Lai , Jian Zhong

Power systems solvers are vital tools in planning, operating, and optimizing electrical distribution networks. The current generation of solvers employ computationally expensive iterative methods to compute sequential solutions. To…

Systems and Control · Electrical Eng. & Systems 2020-01-07 Siobhan Powell , Alyona Ivanova , David Chassin

With rising shares of renewables and the need to properly assess trade-offs between transmission, storage and sectoral integration as balancing options, building a bridge between energy system models and detailed power flow studies becomes…

Physics and Society · Physics 2022-04-29 Fabian Neumann , Veit Hagenmeyer , Tom Brown

In this two-part paper we develop a unifying framework for the analysis of the feasibility of the power flow equations for DC power grids with constant-power loads. In Part I of this paper we present a detailed introduction to the problem…

Systems and Control · Electrical Eng. & Systems 2020-11-19 Mark Jeeninga , Claudio De Persis , Arjan van der Schaft

We present a physics-informed Gaussian Process Regression (GPR) model to predict the phase angle, angular speed, and wind mechanical power from a limited number of measurements. In the traditional data-driven GPR method, the form of the…

Signal Processing · Electrical Eng. & Systems 2018-06-29 Ramakrishna Tipireddy , Alexandre Tartakovsky

This paper applies a custom model order reduction technique to the distribution grid state estimation problem. Specifically, the method targets the situation where, due to pseudo-measurement uncertainty, it is advantageous to run the state…

Systems and Control · Electrical Eng. & Systems 2021-01-26 Samuel Chevalier , Luca Schenato , Luca Daniel

While most power system small-signal stability assessments rely on the reduced Jacobian, which depends non-linearly on the states, uncertain operating points introduce nontrivial hurdles in certifying the system's stability. In this paper,…

Systems and Control · Electrical Eng. & Systems 2019-10-04 Parikshit Pareek , Hung D. Nguyen

Low-to-medium voltage distribution networks are experiencing rising levels of distributed energy resources, including renewable generation, along with improved sensing, communication, and automation infrastructure. As such, state estimation…

Systems and Control · Computer Science 2019-04-18 Thiagarajan Ramachandran , Andrew Reiman , Sai Pushpak Nandanoori , Mark Rice , Soumya Kundu

Density ratio estimation (DRE) is a paramount task in machine learning, for its broad applications across multiple domains, such as covariate shift adaptation, causal inference, independence tests and beyond. Parametric methods for…

Machine Learning · Statistics 2025-06-03 Meilin Wang , Wei Huang , Mingming Gong , Zheng Zhang
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