Optimal Sharing of Real Power Using Robust Controller in Multi-terminal DC Systems

In this study, a linear matrix inequality (LMI) optimization-based linear quadratic regulator control strategy proposes five terminal VSC-MTDC systems. The power demand at any terminals reflects in terms of undesired oscillations and sluggish power electronics equipments as well as its performance. The Result injects undesired oscillations in the grid and reduces power system stability. The proposed controller aims to the optimal distribution of real terminal power and terminal voltages through minimum oscillations in the presence of power demand variation. The proposed controller weight matrices are tuned, and controller gains are calculated using LMI tool framework. The stability convergence of the proposed controller is analyzed using Lyapunov theorem. The performance and its effectiveness of the proposed strategy investigate in terms of time response characteristics and its applicability. The MATLAB© simulations are demonstrated on five terminal VSC-MTDC system to illustrate the effectiveness of the linear quadratic regulator based on the strategic control.