平面螺旋线圈电感参数解析计算模型研究

Research on the analytical calculation model of inductance parameter of planar spiral coils

利用无线电能传输系统无需电气连接即可实现电能传输的特性,电网监测设备可直接从电网高压侧取能.系统线圈电感参数与无线电能传输系统的传输效率、恒压增益、恒流增益、传输功率密切相关,因此对线圈的电感参数的精确建模尤为重要.首先,将平面螺旋线圈等效为具有相同匝数的等间距同心圆,然后,从磁矢势的定义出发,推导并建立了平面螺旋线圈的互感和自感的解析表达式.先后基于Aglent 4294A和Comsol Multphysics对密集绕制型和松散绕制型平面螺旋线圈的电感分别进行验证.研究表明,平面螺旋线圈的自感模型和互感模型的最大误差分别为4.12%和4.90%.因此,本文所提平面螺旋线圈电感参数解析计算模型具有较高计算准确度,同时兼顾密集绕制和松散绕制型线圈,无适用条件限制.

The characteristic of wirelessly transmitting electrical energy without the need for electrical connections enables power transfer in a wireless energy transmission system.Monitoring devices in the power grid can directly draw power from the high-voltage side of the grid.The parameters of the coil′s inductance are closely related to the transmission efficiency,constant voltage gain,constant current gain,and transmission power of the wireless energy transmission system.Therefore,precise modeling of the coil′s inductance parameters is crucial.Firstly,the planar spiral coil is equivalently represented as concentric circles with the same number of turns and equal spacing.Then,starting from the definition of magnetic vector potential,analytical expressions for the mutual inductance and self-inductance of the planar spiral coil are derived and established.Verification of the self-inductance and mutual inductance of densely wound and loosely wound planar spiral coils is carried out using Agilent 4294A and Comsol Multphysics.The study indicates that the maximum errors in the self-inductance and mutual inductance models of the planar spiral coil are 4.12%and 4.90%,respectively.Therefore,the analytical calculation model for the inductance parameters of the planar spiral coil proposed in this paper exhibits high computational accuracy,simultaneously addressing both densely wound and loosely wound coils,with no applicable condition restrictions.