Robust multivariable control design for HVDC systems considering AC grid impedance uncertainties
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Date
2022Author
Dadjo Tavakoli, SamanPrieto-Araujo, Eduardo
Fekriasl, Sajjad
Beerten, Jef
Mehrjerdi, Hasan
Gomis-Bellmunt, Oriol
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High-voltage direct current (HVDC) transmission system based on modular multilevel converter (MMC)
technology is considered as an attractive solution for the interconnection of two AC grids to enhance the
security of supply. Several studies have concluded that the AC grid impedance is a key parameter for the
control system design of the MMC. Such important design parameter, however, is subject to wide variations
due to the time-varying nature of AC grid and the future modifications and expansions. Therefore, the grid
impedance has to be considered as an uncertain parameter during control design stage. To this end, this paper
suggests a robust multivariable controller which is able to maintain system stability and performance for an
extended range of grid impedance uncertainties. To ensure that the controller operates robustly in a wide
range of grid impedances, structured singular value of the system (known as 𝜇) is minimized via an iterative
procedure. In such procedure, the uncertainties are separated from the nominal linear model of the system
and the weighing functions are tuned to fulfill the robustness criteria defined by the small-gain theorem. The
effectiveness of the suggested controller and the design procedure is validated by means of simulation results.
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