基于超高介电常数介质谐振器与水溶液相互作用的无线电能传输系统分析
Analysis of a Wireless Power Transfer System Based on the Interaction of Very High Permittivity Dielectric Resonators with a Contained Aqueous Solution
摘要：
采用耦合模理论（CMT）从头算方法研究了高介电谐振器（DR）与水溶液的相互作用动力学。我们证明了耦合机制是互惠的。利用这种性质，找到封闭的形式和准确的表达式的耦合系数，表征系统性能的主要因素。基于这样的表达式，它示出，对于无线功率传输（WPT）的应用，放大的DR放宽了使用超高介电常数材料的需要。的相互作用的性质被捕获的耦合矩阵，这表明该系统的行为是相同的，在文献中广泛研究时，所包含的水溶液被替换为封闭的腔。因此，如在典型的三耦合谐振器设置中，当两个DR插入水溶液中时，出现非键合模式;因此能够经由电磁感应透明性（如窗口）的开口实现有效的无线功率传输（WPT）。由于不可避免的情况下，DR不对称放置的解决方案，一般的特征值问题，与非对称放置的DR插入解决和特征向量表示的耦合模式是由矢量在3D数学空间中的非耦合模式表示其基础。此外，DR插入物和水性介质之间的强耦合允许所提出的WPT系统耐受固有的水溶液损失和外来物体的存在。此外，在最大效率的负载值是独立的水溶液的损耗角正切，从而容忍介质的盐度的变化。所提出的EIT类方案可以应用于游泳池、化学反应器、鱼缸等中/通过游泳池、化学反应器、鱼缸等的中/短程功率传输。
英文摘要：
An ab-initio analysis based on coupled mode theory (CMT) is applied to describe the interaction dynamics of high dielectric resonators (DRs) with its containing aqueous solution. We prove that the coupling mechanism is reciprocal. Such property is exploited to find closed form and accurate expressions of the coupling coefficient, the main factor characterizing the system performance. Based on such expressions, it is shown that, for wireless power transfer (WPT) applications, up sizing the DRs relaxes the need of using ultra high dielectric constant materials. The nature of interaction is captured by the coupling matrix, which shows that the behaviour of the system is identical to the ones studied extensively in the literature when the contained aqueous solution is replaced by an enclosing cavity. It follows, as in a typical three coupled resonators setting, that when two DRs are inserted in the aqueous solution a non-bonding mode emerges; hence enabling efficient wireless power transfer (WPT) via the opening of an electromagnetic induced transparency like window. Due to the inevitable situations where the DRs are not symmetrically placed inside the solution, the general eigenvalue problem, with asymmetrically placed DR inserts is solved and the eigenvectors representing the coupled modes are depicted by vectors in a 3D mathematical space where the uncoupled modes represent its basis. Moreover, the strong coupling between the DR inserts and the aqueous medium allows the proposed WPT system to tolerate intrinsic aqueous solution losses and the presence of extraneous objects. Additionally, the value of the load at maximum efficiency is independent of the aqueous solution loss tangent, thus tolerating the variation of the medium salinity. The Proposed EIT like scheme can find applications for mid/short range power transfer in/through swimming pools, chemical reactors, fish tanks, etc.
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