Ultrasonic reflection characteristics of Lithium-ion battery based on Legendre orthogonal polynomial method

Mechanical properties such as density and Young's modulus of lithium-ion battery electrodes are related to the state of charge (SOC). Characterizing the battery SOC by means of ultrasonic non-destructive testing can obtain the relationship between wave propagation information and the SOC. During the battery charging process, the Young's modulus and density of the internal electrode material will change, which will affect the propagation of ultrasonic waves in the battery. In this research, a clear and more comprehensive description of the reflection characteristics of ultrasonic waves in lithium-ion batteries have been presented. The Legendre orthogonal polynomial method (LOPM) was first introduced to solve the reflection coefficients of single- and multi-cell lithium-ion batteries. The angular spectrum and frequency spectrum of which were regularly shifted with the SOC, so the SOC could be characterized accordingly. The results obtained by finite element simulation were highly consistent with the method used. Moreover, an ultrasonic reflection experiment system was built, which the result matched with theoretical calculation in a customized battery, further verified the feasibility of the method.