Abstract
This paper addresses the distributed frequency control and economic dispatch problem of micro-grid systems. The optimal frequency control problem is formulated considering both frequency regulation and generation cost minimization, by establishing an equivalent nonlinear second-order dynamic model. A distributed finite-time consensus protocol is proposed to solve the optimal frequency regulation problem based on the equivalent model. Despite the nonlinear dynamics, the system frequency converges to the nominal value and the economic dispatch is achieved both in finite time. It is proved that the equilibrium point of the closed-loop system is the unique optimal solution to the associated economic dispatch problem. Simulation results verify the theoretical analysis and demonstrate the effectiveness of the proposed control method.
Highlights
Micro-grids are low-voltage electrical distribution networks, composed of distributed generation, storage, load and various electronic devices
Remark 5: Notice that the proposed distributed controller relies on the fact that frequencies should be converged to nominal value and marginal costs should be identical in an optimal steady state, which is similar to many existing works based on distributed averaging-based integral (DAI) controllers [32], [33]
By merging the KKT conditions of economic dispatch problem (EDP) into the secondary frequency control, a second-order nonlinear model is established for optimal frequency control
Summary
Micro-grids are low-voltage electrical distribution networks, composed of distributed generation, storage, load and various electronic devices. The low-inertia characteristic requires a faster stabilization and operation for future micro-grid systems To deal with these problems, control strategies are proposed that eliminate the traditional hierarchical structure and incorporate the control tasks on different time scales by implementing a single control process. With the increase of intermittent and uncontrollable power generation units, system frequency and power supply bear more fluctuation and unknown disturbances In this sense, finite-time convergence algorithm demonstrate faster convergence rate, better disturbance rejection properties and robustness against uncertainties [23], and is advantageous to the future micro-grid control. Finite time convergence algorithm is applied to solve the frequency control and economic scheduling problems of the power grid in several studies [24]–[29].
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