Conditions for regional frequency stability in power system scheduling—Part I: theory
File(s)2009.13163v2.pdf (422.23 KB)
Accepted version
Author(s)
Badesa, L
Teng, F
Strbac, G
Type
Journal Article
Abstract
This paper considers the phenomenon of distinct regional frequencies recently observed in some power systems. First, a reduced-order mathematical model describing this behaviour is developed. Then, techniques to solve the model are discussed, demonstrating that the post-fault frequency evolution in any given region is equal to the frequency evolution of the Centre Of Inertia plus certain inter-area oscillations. This finding leads to the deduction of conditions for guaranteeing frequency stability in all regions of a power system, a deduction performed using a mixed analytical-numerical approach that combines mathematical analysis with regression methods on simulation samples. The proposed stability conditions are linear inequalities that can be implemented in any optimisation routine allowing the co-optimisation of all existing ancillary services for frequency support: inertia, multi-speed frequency response, load damping and an optimised largest power infeed. This is the first reported mathematical framework with explicit conditions to maintain frequency stability in a power system exhibiting inter-area oscillations in frequency.
Date Issued
2021-11-01
Date Acceptance
2021-04-01
ISSN
0885-8950
Publisher
Institute of Electrical and Electronics Engineers (IEEE)
Start Page
5558
End Page
5566
Journal / Book Title
IEEE Transactions on Power Systems
Volume
36
Issue
6
Copyright Statement
© 2021 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.
Identifier
https://ieeexplore.ieee.org/document/9403945
Subjects
math.OC
math.OC
cs.SY
eess.SY
0906 Electrical and Electronic Engineering
Energy
Publication Status
Published
Date Publish Online
2021-04-13