This paper investigates the consensus with connectivity maintenance problem based on the distributed model predictive control (DMPC). To solve such connectivity-maintaining consensus problem, we propose a novel DMPC-based strategy, this novel strategy can handle the explicit practical input constraints and has a fast convergence speed. In the construction of this novel DMPC-based strategy, according to the requirements of both consensus and connectivity maintenance, we design a novel optimization problem and meanwhile design the terminal ingredients. Based on the designed optimization problem and the designed terminal ingredients, we construct a novel DMPC-based algorithm. It is proved in this paper that this novel algorithm is recursively feasible, and by implementing this algorithm, the connectivity can always be maintained, and the system can finally reach consensus. The simulation results demonstrate the effectiveness of the DMPC-based algorithm proposed in this paper.

Recent studies of the privacy-preserving consensus guarantee the initial-value privacy but leave real-time running values of consensus states unprotected with respect to external eavesdroppers. In this article, a novel real-time privacy-preserving average consensus algorithm is proposed to fill this gap by utilizing the quasi-resonance (QR) algorithm and the mask function with real-time privacy-preserving property based on the multifrequency (MF) sinusoids. Several kinds of sinusoids are included in the mask function to achieve the privacy preservation of the initial value and real-time values simultaneously, such as nondecaying and exponentially-decaying MF sinusoids. The QR algorithm can achieve the exact consensus because of its high control gain on a specific resonant frequency in MF sinusoids. The designed privacy-preserving average consensus algorithm will not increase the communication pressure since the single signal of the sum of MF sinusoids is transmitted to evade increasing information amount. As an application of the developed consensus algorithm, the privacy-preserving distributed secondary control of the islanded ac microgrid is obtained to achieve active power sharing and frequency restoration.

This article aims to investigate the issue of energy management for multienergy communities with diversified energy consumer profiles. Since the energy consumers have their points of parity and differences in their demographic, psychological, and behavioral traits, it is assumed that the energy management scheme should be capable of meeting their actual needs instead of just reducing the energy bills as conventional researches do. Hence, this article proposes a multiobjective energy management strategy for diversified energy consumers to achieve energy-tailoring. First, a novel entropy based energy consumer clustering approach is proposed for optimal consumer segmentation. Following that, four multiobjective energy management models are proposed to achieve the goal of energy bill minimization, maximization of green energy usage, reduction of energy losses and optimization of energy usage quality. Meanwhile, the strategy to achieve priority-based coordination of the four objectives is developed. To this end, a multiagent system is developed to perform the optimization model. Simulation case studies are conducted to validate the effectiveness of the proposed method. Numerical results have shown that the proposed approach can achieve co-optimization of the four objectives, and the tradeoffs caused by the competing interest groups are maintained at a low level.

In this paper, a fixed-time backstepping fractional-order sliding mode excitation controller (FTBFOSMEC) is proposed to enhance the performance of multimachine power system. The FTBFOSMEC is designed to achieve semi-global uniform ultimate boundedness of the multimachine power system within an upper limited convergence time irrelated to the initial operating states. The FTBFOSMEC can achieve the attractive qualities of sliding mode control with strong robustness and fast dynamic response, and the merits of backstepping control in globally asymptotic stability for parametric uncertainty. In addition, the FTBFOSMEC can avoid the singularity problem of conventional SMC. Furthermore, the nonlinear first-order filter is carried out to avoid the “explosion complexity” issue of traditional backstepping control. The fractional-order controller is designed to alleviate the chattering phenomenon of the conventional SMC. Meanwhile, the FTBFOSMEC is in a continuous description, which can further eliminate the chattering phenomenon. The Lyapunov function is taken to analyze the stabilization of the multimachine power system under the control of the FTBFOSMEC, and to estimate the upper limit of convergence time. Finally, comparative results, based on the New England 10-machine 39-bus power system, indicate that the power system under the proposed FTBFOSMEC can obtain effective, robust and superior performances compared with the existing control strategies under different operating circumstances.

This article proposes a novel distributed predefined-time sliding mode controller (DPTSMC) to gain exceptional performances of power system under input saturation. Firstly, considering the saturation of excitation input to avoid the overvoltage of the coil, an auxiliary system is taken to compensate the effect of the excitation saturation. Then, the sliding mode control (SMC) and the predefined-time stability theory are taken to devise the DPTSMC to make the power system stable in a predefined time, which has an upper limit and is directly equivalent to an adjustable parameter, thus satisfying the high requirement of the power system for expected convergence time. Meanwhile, the estimated upper bound convergence time of the power system under the proposed DPTSMC is less conservative than some existing fixed-time control strategies. Moreover, the distributed control is taken to devise the DPTSMC and the controller can receive the real-time information from the phasor measurement units (PMU). Hence, the central controller is not required and the communication network is simple, thus releasing the pressure in complicated calculation and communication, and gaining rapid and coordinated response capacity. Next, the stabilization of the power system under the DPTSMC within a predefined upper limited time is proved through the Lyapunov function. Finally, the exceptional performance of the proposed DPTSMC than the existing control methods is verified through the simulation in the IEEE 39-bus 10-machine New England power system under different operation scenarios.