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Grid-following (GFL) inverters are commonly used for integrating renewable energy sources into power grids. However, the dynamic performance of GFL models can be significantly impacted by the Phase-Locked Loop (PLL) in a weak grid, leading…

Systems and Control · Electrical Eng. & Systems 2025-07-03 Phuoc Sang Nguyen , Ghavameddin Nourbakhsh , Gerard Ledwich

This paper develops a hybrid system modeling framework for inverters that switch between grid-following and grid-forming control schemes. In particular, such inverters are modeled as hybrid automata with guard conditions on voltage and…

Systems and Control · Electrical Eng. & Systems 2025-11-19 Bukunmi G. Odunlami , Marcos Netto

Ground faults in converter-based grids can be difficult to detect because, unlike in grids with synchronous machines, they often do not result in large currents. One recent strategy is for each converter to inject a perturbation that makes…

Optimization and Control · Mathematics 2022-09-15 Mohammad Pirani , Mehdi Hosseinzadeh , Joshua A. Taylor , Bruno Sinopoli

Motivated by the need for accurate frequency information, a novel algorithm for estimating the fundamental frequency and its rate of change in three-phase power systems is developed. This is achieved through two stages of Kalman filtering.…

Machine Learning · Statistics 2016-03-10 Sayed Pouria Talebi , Danilo P. Mandic

The quality of energy produced in renewable energy systems has to be at the high level specified by respective standards and directives. The estimation accuracy of grid signal parameters is one of the most important factors affecting this…

Systems and Control · Computer Science 2016-01-05 Józef Borkowski , Dariusz Kania

A sequential estimator based on the Ensemble Kalman Filter for Data Assimilation of fluid flows is presented in this research work. The main feature of this estimator is that the Kalman filter update, which relies on the determination of…

Computational Engineering, Finance, and Science · Computer Science 2021-07-28 Gabriel Moldovan , Guillame Lehnasch , Laurent Cordier , Marcello Meldi

Accurate estimation of the dynamic states of a synchronous machine (e.g., rotor s angle and speed) is essential in monitoring and controlling transient stability of a power system. It is well known that the covariance matrixes of process…

Systems and Control · Computer Science 2017-02-06 Shahrokh Akhlaghi , Ning Zhou , Zhenyu Huang

This paper develops a robust extended Kalman filter to estimate the rotor angles and the rotor speeds of synchronous generators of a multimachine power system. Using a batch-mode regression form, the filter processes together predicted…

Systems and Control · Electrical Eng. & Systems 2021-04-06 Marcos Netto , Junbo Zhao , Lamine Mili

This paper proposes a decentralized dynamic state estimation scheme for microgrids. The approach employs the voltage and current measurements in the dq0 reference frame through phasor synchronization to be able to exclude orthogonal…

Systems and Control · Electrical Eng. & Systems 2019-07-09 Bang L. H. Nguyen , Tuyen V. Vu , Tuan A. Ngo

Today's power generation and distribution networks are quickly moving toward automated control and integration of renewable resources - a complex, integrated system termed the Smart Grid. A key component in planning and managing of Smart…

Signal Processing · Electrical Eng. & Systems 2020-01-01 Shervin Mehryar , Moe Z. Win

The Kalman filter (KF) provides optimal recursive state estimates for linear-Gaussian systems and underpins applications in control, signal processing, and others. However, it is vulnerable to outliers in the measurements and process noise.…

Systems and Control · Electrical Eng. & Systems 2025-07-02 Alan Yang , Stephen Boyd

A novel method for distributed estimation of the frequency of power systems is introduced based on the cooperation between multiple measurement nodes. The proposed distributed widely linear complex Kalman filter (D-ACKF) and the distributed…

Systems and Control · Computer Science 2014-10-03 Sithan Kanna , Dahir H. Dini , Yili Xia , Ron Hui , Danilo P. Mandic

Kalman filter-based algorithms are fundamental for mobile robots, as they provide a computationally efficient solution to the challenging problem of state estimation. However, they rely on two main assumptions that are difficult to satisfy…

With an increasing share of renewable energy sources, accurate and efficient modeling of grid-forming inverters is becoming crucial for system stability. Linear methods are a powerful tool for understanding dynamics close to an operating…

Systems and Control · Electrical Eng. & Systems 2025-06-30 Jakob Niehues , Anna Büttner , Anne Riegler , Frank Hellmann

The Kalman filter is a fundamental tool for state estimation in dynamical systems. While originally developed for linear Gaussian settings, it has been extended to nonlinear problems through approaches such as the extended and unscented…

Optimization and Control · Mathematics 2025-09-10 Yuan Wu , Sicheng He

We propose a decentralized, frequency-domain identification algorithm that estimates the grid-equivalent model from the perspective of local converters. Since local electric signals in a multi-converter setup are affected by voltage inputs…

Signal Processing · Electrical Eng. & Systems 2026-05-28 Sanjay Chandrasekaran , Florian Dörfler , Silvia Mastellone

The Kalman filter is the most powerful tool for estimation of the states of a linear Gaussian system. In addition, using this method, an expectation maximization algorithm can be used to estimate the parameters of the model. However, this…

Computation · Statistics 2020-06-01 Tsuyoshi Ishizone , Kazuyuki Nakamura

Reliable integration and operation of renewable distributed energy resources requires accurate distribution grid models. However, obtaining precise models is often prohibitively expensive, given their large scale and the ongoing nature of…

Systems and Control · Electrical Eng. & Systems 2024-01-19 Jean-Sébastien Brouillon , Keith Moffat , Florian Dörfler , Giancarlo Ferrari-trecate

The reliability and precision of dynamic database are vital for the optimal operating and global control of integrated energy systems. One of the effective ways to obtain the accurate states is state estimations. A novel robust dynamic…

Systems and Control · Electrical Eng. & Systems 2022-05-24 Liang Chen , Yang Li , Manyun Huang , Xinxin Hui , Songlin Gu

The system frequency is a critical measure of power system stability and understanding, and modeling it are key to ensure reliable power system operations. Koopman-based autoencoders are effective at approximating complex nonlinear data…

Systems and Control · Electrical Eng. & Systems 2026-03-19 Eric Lupascu , Xiao Li , Benjamin Schäfer
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