Stabilization of MT-HVDC grids via passivity-based control and convex optimization

Authors

Oscar Danilo Montoya, Walter Gil-González, Alejandro Garces, Federico Serra, Jesus C. Hernández

Abstract

This paper presents a model for stabilizing multi-terminal high voltage direct-current (MT-HVDC) networks with constant power terminals (CPTs) interfaced with power electronic converters. A hierarchical structure of hierarchical control is developed, which guarantees a stable operation under load variations. This structure includes a port-Hamiltonian formulation representing the network dynamics and a passivity-based control (PBC) for the primary control. This control guarantees stability according to Lyapunov’s theory. Next, a convex optimal power flow formulation based on semidefinite programming (SDP) defines the control’s set point in the secondary/tertiary control. The proposed stabilization scheme is general for both point-to-point HVDC systems and MT-HVDC grids. Simulation results in MATLAB/Simulink demonstrate the stability of the primary control and the optimal performance of the secondary/tertiary control, considering three simulation scenarios on a reduced version of the CIGRE MT-HVDC test system: (i) variation of generation and load, (ii) short-circuit events with different fault resistances and (iii) grid topology variation. These simulations prove the applicability and efficiency of the proposed approach.

Keywords

Convex optimization; Direct-current networks; Passivity-based control; Hierarchical control; Port-Hamiltonian formulation; Stabilization of electrical networks

Citation

• Journal: Electric Power Systems Research
• Year: 2021
• Volume: 196
• Issue:
• Pages: 107273
• Publisher: Elsevier BV
• DOI: 10.1016/j.epsr.2021.107273

BibTeX

@article{Montoya_2021,
  title={{Stabilization of MT-HVDC grids via passivity-based control and convex optimization}},
  volume={196},
  ISSN={0378-7796},
  DOI={10.1016/j.epsr.2021.107273},
  journal={Electric Power Systems Research},
  publisher={Elsevier BV},
  author={Montoya, Oscar Danilo and Gil-González, Walter and Garces, Alejandro and Serra, Federico and Hernández, Jesus C.},
  year={2021},
  pages={107273}
}

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