Optimal Linear Quadratic Regulator Design of Interconnected Systems with VSP based HVDC Links for Inertia Emulation

Elyas Rakhshani, Iman Mohammad Hosseini Naveh, Hasan Mehrjerdi, José Rueda Torres, Peter Palensky

Research output: Chapter in Book/Conference proceedings/Edited volumeConference contributionScientificpeer-review

2 Citations (Scopus)
28 Downloads (Pure)


This paper proposes a new application for an optimal linear regulator for mitigation of frequency performance of an interconnected AC/DC system with (Virtual Synchronous Power) VSP based HVDC capabilities. The action of VSP, which is added into the HVDC control system, is to provide virtual inertia for the low-inertia system during a contingency. The proposed optimal regulator is designed to stabilize such ac/dc interconnected system while minimizing the associated cost function. For each of the presented controller, a different objective function is defined. This objective function is needed to tune the matrix gains and to process the optimum controller design. Simulations results demonstrate how the proposed regulator can significantly improve the reduction of frequency deviations and the damping of the interarea oscillations excited during a fault. This improvement is more obvious especially when a VSP-based virtual inertia emulation is activated in the system.

Original languageEnglish
Title of host publication2nd International Conference on Smart Grid and Renewable Energy, SGRE 2019 - Proceedings
Number of pages6
ISBN (Electronic) 978-1-7281-2960-0
ISBN (Print)978-1-7281-2961-7
Publication statusPublished - 2020
EventSGRE 2019 : 2nd International Conference on Smart Grid and Renewable Energy - Doha, Qatar
Duration: 19 Nov 201921 Nov 2019
Conference number: 2nd


ConferenceSGRE 2019

Bibliographical note

Green Open Access added to TU Delft Institutional Repository ‘You share, we take care!’ – Taverne project https://www.openaccess.nl/en/you-share-we-take-care
Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public.


  • Fast frequency response
  • Frequency control
  • LQR controller
  • Virtual inertia


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