分数阶耦合电感的无源性

Passivity of Fractional Mutual Inductors

分数阶耦合电感的提出进一步丰富和完善了已有的电路元件体系,开展该类分数阶元件的无源性研究将促进相关的电路分析和综合理论的发展。从频域角度入手,使用耗散矩阵的概念推导了分数阶耦合电感的无源性条件,并通过几个实例进行了说明。可以看到,整数阶耦合电感仅为分数阶耦合电感中较为特殊的一类;两者的无源性条件存在较大差异,前者无源时是互易的,而后者可以是非互易的。

Fractional mutual inductor was proposed recently which further enriched and consummated the existing circuit element system.The passivity of fractional mutual inductors was discussed by the concept of dissipative matrix in frequency domain,and some examples were also demonstrated.It can be concluded that the classical integer order mutual inductors is only a special case of the fractional mutual inductors,and the passivity conditions for them have great differences.The results will facilitate the development of corresponding circuit analysis and synthesis theory.