A Perturbation-Based Methodology to Estimate the Equivalent Inertia of an Area Monitored by PMUs

Guido Rossetto Moraes, Valentin Ilea, Alberto Berizzi, Cosimo Pisani, Giorgio Giannuzzi and Roberto Zaottini
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Guido Rossetto Moraes: Department of Electrical Engineering, Federal University of Santa Catarina, Florianópolis 88040-900, Brazil
Valentin Ilea: Department of Energy, Politecnico di Milano, 20156 Milan, Italy
Alberto Berizzi: Department of Energy, Politecnico di Milano, 20156 Milan, Italy
Cosimo Pisani: Terna Rete Italia SpA, 00138 Rome, Italy
Giorgio Giannuzzi: Terna Rete Italia SpA, 00138 Rome, Italy
Roberto Zaottini: Terna Rete Italia SpA, 00138 Rome, Italy

Energies, 2021, vol. 14, issue 24, 1-23

Abstract: This paper proposes a novel methodology to estimate equivalent inertia of an area, observed from its boundary buses where Phasor Measurement Units (PMUs) are assumed to be installed. The areas are divided according to the measurement points, and the methodology proposed can obtain the equivalent dynamic response of the area dependent of or independent of coherency of the generators inside, which is the first contribution of this paper. The methodology is divided in three parts: estimating the frequency response, estimating the power imbalance and estimating inertia through the solution of the swing equation by Least-Squares Method (LSM). The estimation of the power imbalance is the second contribution of this paper, enabling the study of areas that contain perturbations and attending the limitation of methods of the literature that rely on assumptions of slow mechanical power. It can be further divided in three steps: accounting the total power injected, estimating an equivalent load behavior and estimating an equivalent mechanical power. The quality of results is proved with test systems of different sizes, simulating different types of perturbations.

Keywords: power system stability; inertia estimation; PMU (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2021
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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