Optimal portfolio of distinct frequency response services in low-inertia systems
File(s)
Accepted version
Author(s)
Badesa, Luis
Teng, Fei
Strbac, Goran
Type
Journal Article
Abstract
A reduced level of system inertia due to renewable integration increases the need for cost-effective provision of ancillary services, such as Frequency Response (FR). In this paper a closed-form solution to the differential equation describing frequency dynamics is proposed, which allows to obtain frequency-security algebraic constraints to be implemented in optimization routines. This is done while considering any finite number of FR services with distinguished characteristics, such as different delivery times and activation delays. The problem defined by these frequency-security constraints can be formulated as a Mixed-Integer Second-Order Cone Program (MISOCP), which can be efficiently handled by off-the-shelf conic optimization solvers. This paper also takes into account the uncertainty in inertia contribution from the demand side by formulating the frequency-security conditions as chance constraints, for which an exact convex reformulation is provided. Finally, case studies highlighting the effectiveness of this frequency-secured formulation are presented.
Date Issued
2020-11-01
Date Acceptance
2020-05-17
Citation
IEEE Transactions on Power Systems, 2020, 35 (6), pp.4459-4469
ISSN
0885-8950
Publisher
Institute of Electrical and Electronics Engineers
Start Page
4459
End Page
4469
Journal / Book Title
IEEE Transactions on Power Systems
Volume
35
Issue
6
Copyright Statement
© 2020 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
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000583741500026&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
Subjects
Science & Technology
Technology
Engineering, Electrical & Electronic
Engineering
Optimization
Frequency response
Power system dynamics
Uncertainty
Time-frequency analysis
Delays
Indexes
inertia
frequency response
uncertainty
convex optimization
CONSTRAINED UNIT COMMITMENT
MARKET
Publication Status
Published
Date Publish Online
2020-05-25