Nonlinear Control of Back-to-Back VSC-HVDC System via Command-Filter Backstepping

Abstract

This paper proposed a command-filtered backstepping controller to improve the dynamic performance of back-to-back voltage-source-converter high voltage direct current (BTB VSC-HVDC). First, the principle and model of BTB VSC-HVDC in abc and d-q frame are described. Then, backstepping method is applied to design a controller to maintain the voltage balance and realize coordinated control of active and reactive power. Meanwhile, command filter is introduced to deal with the problem of input saturation and explosion of complexity in conventional backstepping, and a filter compensation signal is designed to diminish the adverse effects caused by the command filter. Next, the stability and convergence of the whole system are proved via the Lyapunov theorem of asymptotic stability. Finally, simulation results are given to demonstrate that proposed controller has a better dynamic performance and stronger robustness compared to the traditional PID algorithm, which also proves the effectiveness and possibility of the designed controller.

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“…Consequently, a significant steady-state error is observed in the output during MPP tracking. In response to this, researchers have attempted countermeasures, such as filtering the virtual states to address the differential issues of virtual states [25,26]. However, command filters create filter errors that negatively impact the controller's performance and a filter compensation signal is needed to be designed to eliminate these issues.…”

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