Reduced-order aggregate dynamical model for wind farms

Sanjana Vijayshankar, Victor Purba, Peter J. Seiler, Sairaj V. Dhople

Research output: Chapter in Book/Report/Conference proceedingConference contribution

3 Scopus citations


This paper presents an aggregate reduced-order model for a wind farm composed of identical parallel-connected Type-3 wind turbines. The model for individual turbines includes mechanical dynamics (arising from the turbine and doubly fed induction generator) and electrical dynamics (arising from the rotor-side and grid-side converters and associated filters). The proposed aggregate wind-farm model is structure preserving, in the sense that the parameters of the model are derived by scaling corresponding ones from the individual turbines. The aggregate model hence maps to an equivalent-albeit fictitious-wind turbine that captures the dynamics corresponding to the entire wind farm. The reduced-order model has obvious computational advantages, but more importantly, the presented analysis rigorously formalizes parametric scalings for aggregate wind-turbine models that have been applied with limited justification in prior works. Exhaustive numerical simulations validate the accuracy and computational benefits of the proposed reduced-order model.

Original languageEnglish (US)
Title of host publication2019 American Control Conference, ACC 2019
PublisherInstitute of Electrical and Electronics Engineers Inc.
Number of pages8
ISBN (Electronic)9781538679265
StatePublished - Jul 2019
Event2019 American Control Conference, ACC 2019 - Philadelphia, United States
Duration: Jul 10 2019Jul 12 2019

Publication series

NameProceedings of the American Control Conference
ISSN (Print)0743-1619


Conference2019 American Control Conference, ACC 2019
Country/TerritoryUnited States

Bibliographical note

Funding Information:
Sanjana Vijayshankar, Victor Purba, and Sairaj V. Dhople are with the Department of Electrical and Computer Engineering, University of Minnesota, Minneapolis, MN 55455. E-mails: {vijay092, purba002, sdho-ple} Peter J. Seiler is with the Department of Aerospace and Engineering Mechanics, University of Minnesota, Minneapolis, MN 55455. E-mail: This work is supported in part by the National Science Foundation through award 1453921 and by the U.S.Department of Energy under Contract No. DE-EE0000-1583.

Publisher Copyright:
© 2019 American Automatic Control Council.


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