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Residents with advanced measuring and controlling appliances can participate in demand response (DR) by the home energy management system (HEMS), thereby improving the reliability and flexibility of the power system. However, the domestic incentive mechanism is deficient, and there is short of home energy optimization model that comprehensively considers price-based and incentive-based DR. First at all, a variety of flexible appliances such as distributed photovoltaic (PV), electric vehicle (EV), and energy storage (ES) were considered, a mixed-integer load model under a complex power consumption environment was classified and established. Secondly, the price-based DR based on the time-of-use electricity price and the incentive-based DR based on the user agreement were considered comprehensively. Taking reducing household electricity costs and household net load power fluctuations as joint optimization targets, a day-ahead scheduling model considering users' willingness to participate in incentive-based DR was established. Finally, the effectiveness of the proposed model was verified based on the MATLAB.

Lithium-ion batteries have been widely used in the field of energy storage, due to the high energy density, wide temperature range and long service life. However, in application, the parameters such as the capacity and voltage of each cell in the battery pack are inconsistent due to unreasonable use, poor operating environment and other factors. In this paper, the qualitative relationship between the voltage variation of lithium-ion battery and the cell capacity and SOC is firstly analyzed, and then an inconsistent cell identification method is proposed based on three feature parameters of voltage outliers, voltage range and voltage difference. The static component is obtained from the voltage in the unstable discharge data by empirical mode decomposition and the inconsistency of capacity and SOC of static components is analyzed. The online identification of inconsistency of lithium-ion battery pack is realized based on the threshold and $K$ -means algorithm.

The effect of spherical aberration on the radius of image beam waist in the design of laser optical system is discussed in detail, and the relationship between the spherical aberration and the image beam waist radius in the laser optical system is deduced. Radius variation of image beam waist due to spherical aberration which varies with the position of object beam waist and the optical system focus is analyzed by the form of curve. The analysis results indicate that the effect of spherical aberration on the radius of image beam waist should be considered according to the position of object beam waist in the design of a laser optical system. Finally, a design example of the optical system used for atmospheric laser communication system is given to illustrate the effect of spherical aberration on the image beam waist.

Considering the uncertainties from renewable energy sources and loads, the paper presents a novel two-stage robust optimal economic dispatch model for grid-connected AC/DC hybrid microgrids. The model is decomposed into a master and slave min-max-min problem with mixed integer linear structure. A robust economic dispatch result is obtained by using the column-and-constraint generation algorithm(C&CG) to solve the day-ahead optimization problem for AC/DC hybrid microgrids, which minimizes the daily operating cost. A case study is conducted to further demonstrate the effectiveness and capability of the proposed model in this paper for the operation dispatching of AC/DC hybrid microgrids.