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Traditionally, inertia in power systems has been determined by considering all the rotating masses directly connected to the grid. During the last decade, the integration of renewable energy sources, mainly photovoltaic installations and…

Systems and Control · Electrical Eng. & Systems 2020-05-06 Ana Fernández-Guillamón , Emilio Gómez-Lázaro , Eduard Muljadi , Angel Molina-García

Nowadays, power system inertia is changing as a consequence of replacing conventional units by renewable energy sources, mainly wind and PV power plants. This fact affects significantly the grid frequency response under power imbalances. As…

Systems and Control · Electrical Eng. & Systems 2020-05-06 A. Fernández-Guillamón , A. Vigueras-Rodríguez , A. Molina-García

Installation of phasor measurement units (PMUs) in a number of substations in the power grid can help assess a set of its values and parameters, in particular those related to the dynamics when disturbances occur in the system. Inertia…

Systems and Control · Electrical Eng. & Systems 2021-04-19 Mohammadali Hayerikhiyavi , Aleksandar Dimitrovski

Rotational inertia is stabilizing the frequency of electric power systems against small and large disturbances, but it is also the cause for oscillations between generators. As more and more conventional generators are replaced by renewable…

Optimization and Control · Mathematics 2017-05-10 Theodor Borsche , Florian Dörfler

In modern power systems, the operating point, at which the demand and supply are balanced, may take different values due to changes in loads and renewable generation levels. Understanding the dynamics of stressed power systems with a range…

Systems and Control · Computer Science 2017-10-31 Thanh Long Vu , Hung Dinh Nguyen , Alexandre Megretski , Jean-Jacques Slotine , Konstantin Turitsyn

Traditionally, power system's inertia has been estimated according to the rotating masses directly connected to the grid. However, a new generation mix scenario is currently identified, where conventional supply-side is gradually replaced…

Systems and Control · Electrical Eng. & Systems 2020-11-04 Ana Fernández-Guillamón , Emilio Gómez-Lázaro , Angel Molina-García

The increasing penetration of power-electronic-interfaced devices is expected to have a significant effect on the overall system inertia and a crucial impact on the system dynamics. In the future, the reduction of inertia will have drastic…

Systems and Control · Computer Science 2019-04-05 Johannes Schiffer , Petros Aristidou , Romeo Ortega

The reduction of overall system inertia in modern power systems due to the increasing deployment of distributed energy resources is generally recognized as a major issue for system stability. Consequently, real-time monitoring of system…

Systems and Control · Electrical Eng. & Systems 2024-05-01 Nicolai Lorenz-Meyer , Hans Würfel , Johannes Schiffer

This paper studies the procurement and pricing of inertial response using a frequency-constrained unit commitment formulation, which co-optimizes the provision of energy and inertia services while accounting for their complementary…

Optimization and Control · Mathematics 2020-05-25 Matthieu Paturet , Uros Markovic , Stefanos Delikaraoglou , Evangelos Vrettos , Petros Aristidou , Garbiela Hug

As bulk synchronous generators in the power grid are replaced by distributed generation interfaced through power electronics, inertia is removed from the system, prompting concerns over grid stability. Different metrics are available for…

Optimization and Control · Mathematics 2017-03-09 Mohammad Pirani , John W. Simpson-Porco , Baris Fidan

Real-time tracking of inertia is important because it reflects the power system's ability to withstand contingencies and maintain frequency security. This paper proposes a practical approach to estimate inertia using ambient phasor…

Systems and Control · Electrical Eng. & Systems 2025-08-12 Anushka Sharma , Anamitra Pal , Rajasekhar Anguluri , Tamojit Chakraborty

Accurate inertia estimates and forecasts are crucial to support the system operation in future low-inertia power systems. A large literature on inertia estimation methods is available. This paper aims to provide an overview and…

Systems and Control · Electrical Eng. & Systems 2020-08-31 Evelyn Heylen , Goran Strbac , Fei Teng

Integration of intermittent renewable energy sources in modern power systems is increasing very fast. Replacement of synchronous generators with zero-to-low variable renewables substantially decreases the system inertia. In a large system,…

Signal Processing · Electrical Eng. & Systems 2020-06-23 Mingjian Tuo , Xingpeng Li

Contemporary theories and models for electric power system stability are predicated on a widely held assumption that the mechanical inertia of the rotating mass of synchronous generators provides the sole contribution to stable and…

Systems and Control · Electrical Eng. & Systems 2024-01-31 Amirhossein Sajadi , Bri-Mathias Hodge

This paper examines model parameter estimation in dynamic power systems whose governing electro-mechanical equations are ill-conditioned or singular. This ill-conditioning is because of converter-interfaced power systems generators' zero or…

Systems and Control · Electrical Eng. & Systems 2022-08-10 Rajasekhar Anguluri , Lalitha Sankar , Oliver Kosut

A novel numerical method for solving inverse scattering problem with fixed-energy data is proposed. The method contains a new important concept: the stability index of the inversion problem. This is a number, computed from the data, which…

Mathematical Physics · Physics 2007-05-23 S. Gutman , A. G. Ramm , W. Scheid

We address the problem of estimating the uncertainty in the solution of power grid inverse problems within the framework of Bayesian inference. We investigate two approaches, an adjoint-based method and a stochastic spectral method. These…

Optimization and Control · Mathematics 2016-02-15 Noemi Petra , Cosmin G. Petra , Zheng Zhang , Emil M. Constantinescu , Mihai Anitescu

Conventional power system optimization framework is becoming less reliable and efficient due to the stability issues brought by the ever-increasing inverter-interfaced renewable penetration. To ensure system stability during system…

Systems and Control · Electrical Eng. & Systems 2026-05-26 Zhongda Chu , Fei Teng

The energy transition is causing many stability-related challenges for power systems. Transient stability refers to the ability of a power grid's bus angles to retain synchronism after the occurrence of a major fault. In this paper a…

Optimization and Control · Mathematics 2021-01-12 Tim Aschenbruck , Willem Esterhuizen , Stefan Streif

A major transition in modern power systems is the replacement of conventional generation units with renewable sources of energy. The latter results in lower rotational inertia which compromises the stability of the power system, as…

Optimization and Control · Mathematics 2025-12-15 Andreas Kasis , Stelios Timotheou , Marios Polycarpou
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