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Complex-domain Design and Robustness Analysis for the Control of SSCI in DFIG-based Wind Farms

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  • Control Theory and Applications
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Abstract

The paper proposes a complex domain control and robustness analysis approach to damping of Sub-Synchronous Control Interactions (SSCI) in the IEEE first and second benchmark models and is applied to wind farms with Doubly-Fed Induction Generators (DFIG). Two complex pole-placement control laws are proposed to eliminate oscillations at different levels of compensation as well as at varying speed conditions. The complex domain framework reduces the system dimensions by half and facilitates the direct placement of the system poles in the left-half plane, ensuring stability and performance. An observer is designed to estimate the variables that would be difficult to measure at a high sampling rate but are useful to stabilize the systems. Time-domain simulations in MATLAB/Simscape show that the proposed controllers are successful in eliminating oscillations. By leveraging a complex domain representation, the feedback system is analyzed as a single-input single-output (SISO) system. This simplifies the visualization of the robustness of the controllers and makes it possible to compute the gain, phase, and delay margins of the feedback system. These margins are validated in simulations on the full-scale model. The proposed complex pole-placement controller is then compared to other excitation control-based approaches to demonstrate its effectiveness.

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Authors and Affiliations

  1. School of Electrical and Computer Engineering, University of Utah, 50 S. Central Campus Drive, Salt Lake City, UT, 84112, USA

    Hana Jannaty Baesmat & Marc Bodson

Authors
  1. Hana Jannaty Baesmat
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  2. Marc Bodson
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Correspondence to Hana Jannaty Baesmat.

Additional information

Hana Jannaty Baesmat received her B.Sc. degree in electronic engineering and an M.Sc. degree in electrical engineering from the University of Kurdistan, Kurdistan, Iran, in 2007 and 2010, respectively, and a Ph.D. degree in electrical engineering from the University of Utah, UT, USA in 2019. Currently, she is a senior manager of the electrical engineering program management at Amazon RME, USA.

Marc Bodson received the Ingénieur Civil Mécanicien et Electricien degree from the Université Libre de Bruxelles, Brussels, Belgium, in 1980, two M.S. degrees, one in electrical engineering and computer science and one in aeronautics and astronautics, from the Massachusetts Institute of Technology, Cambridge, MA, USA, in 1982, and a Ph.D. degree in electrical engineering and computer science from the University of California at Berkeley, Berkeley, CA, USA, in 1986. Currently, he is a Professor of Electrical and Computer Engineering with the University of Utah, Salt Lake City, UT, USA. He was Chair of the Department of Electrical and Computer Engineering from 2003 to 2009. Prof. Bodson was the Editor-in-Chief of the IEEE Transactions on Control Systems Technology from 2000 to 2003. He was elected Associate Fellow of the AIAA in 2013.

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Baesmat, H.J., Bodson, M. Complex-domain Design and Robustness Analysis for the Control of SSCI in DFIG-based Wind Farms. Int. J. Control Autom. Syst. 20, 483–495 (2022). https://doi.org/10.1007/s12555-020-0622-3

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  • DOI: https://doi.org/10.1007/s12555-020-0622-3

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