Oscillators with Nonpolar Magnetic Repulsion System and its Use in Rotary Nonresonant and Resonant Kinetic Energy Harvesters

Creating an asymmetric torque signal over one full rotor revolution can be achieved when using a two degree of freedom (2DoF) system having a rotary and a translatory DoF and using accordingly nonpolar magnetic repulsion techniques. This topic generally is popular in gray literature and is scarcely covered in peer reviewed scientific publications, as it often leads to the topic of permanent magnet motors, driven only by nonlinear magnetic spring configurations on the rotor and stator system, where the conservation of energy is violated. In this paper this problem is briefly discussed, while the focus is set to model the differential equation system and mathematically explore some of its major behaviors and properties. A working example of an existent magnetic motor is presented (the famous patented Yildiz permanent magnetic motor [1]). At first, a nonresonant rotary single DoF system will be modeled and discussed in detail. With two different methods an asymmetric torque signal is verified over one full rotor revolution using nonpolar magnetic repulsion techniques. Following on, a 2DoF system is modeled, in which both DoF resonate mutually together and exhibit at least one stable resonant frequency. The presented work hints to the working principle of the Yildiz motor macroscopically-an asymmetric and incommensurable rotor torque generation described by two mutually displacement coupled Mathieu equations-where the seemingly perpetual oscillation of such a system is sustained. However, the dynamics of such oscillators must be regarded as a modeling artefact as no microscopical explanation can be given of the energy conversion process nor a working prototype can yet be presented.