In order to obtain more realistic characteristics of the converter, a fractional-order inductor and capacitor are used in the modeling of power electronic converters. However, few researches focus on power electronic converters with a fractional-order mutual inductance. This paper introduces a fractional-order flyback converter with a fractional-order mutual inductance and a fractional-order capacitor. The equivalent circuit model of the fractional-order mutual inductance is derived. Then, the state-space average model of the fractional-order flyback converter in continuous conduction mode (CCM) are established. Moreover, direct current (DC) analysis and alternating current (AC) analysis are performed under the Caputo fractional definition. Theoretical analysis shows that the orders have an important influence on the ripple, the CCM operating condition and transfer functions. Finally, the results of circuit simulation and numerical calculation are compared to verify the correctness of the theoretical analysis and the validity of the model. The simulation results show that the fractional-order flyback converter exhibits smaller overshoot, shorter setting time and higher design freedom compared with the integer-order flyback converter.

With the support of advanced communication technology, geographically dispersed combat entities have been connected into a large-scale and complex combat network. The use of three-dimensional space to display complex combat networks can effectively solve the problem of inefficient two-dimensional plane display of complex combat networks. This paper proposes a three-dimensional layout method for complex combat networks, which is based on the tree-like data structure octree tree, and continuously divides the three-dimensional space to ensure that the nodes of each complex combat network will not collide or coincide. And at the same time, the three-dimensional space subdivision is optimized to avoid the situation of infinite segmentation, and the nodes of different types of complex combat networks are given different colors, which are also more intuitively reflected in the space, and the layout of the complex combat network in the three-dimensional space is realized. It can provide support for the display of complex combat networks in three-dimensional space.