Abstract: The emergence of mem-elements provides a new method for circuit design. In this paper, a mathematical model of a flux-controlled meminductor is proposed directly from the definition of meminductor, and a new floating meminductor emulator which does not contain any memristor is designed with common off-the-shelf components. Then the system-level circuit simulation experiments with different alternating signals and different parameters are presented based on Multisim and Matlab simulation platform. The results show that the current-flux characteristic of the designed flux-controlled meminductor is a frequency-dependent pinched loop, this means that the proposed device is a kind of nonlinear inductor with memory and accords with the concept of meminductor and therefore it provides a device simulation entity for producing new application circuits in the field of electronics.