We demonstrate that a simple acoustic time-of-flight experiment can measure the state of charge and state of health of almost any closed battery. An acoustic conservation law model describing the state of charge of a standard battery is proposed, and experimental acoustic results verify the simulated trends; furthermore, a framework relating changes in sound speed, via density and modulus changes, to state of charge and state of health within a battery is discussed. Regardless of the chemistry, the distribution of density within a battery must change as a function of state of charge and, along with density, the bulk moduli of the anode and cathode changes as well. The shifts in density and modulus also change the acoustic attenuation in a battery. Experimental results indicating both state-of-charge determination and irreversible physical changes are presented for two of the most ubiquitous batteries in the world, the lithium-ion 18650 and the alkaline LR6 (AA). Overall, a one-or two-point acoustic measurement can be related to the interaction of a pressure wave at multiple discrete interfaces within a battery, which in turn provides insights into state of charge, state of health, and mechanical evolution/degradation.
Broader contextRecent advances in the mechanical understanding of electrochemical energy storage devices based on stress/strain investigations have provided significant improvements in battery systems and materials. To date, the field has lacked a non-invasive, field-deployable method for monitoring these complex mechanics in practical cells. Here, we show a simple model and experiment together as a potentially universal in operando, field-deployable tool for determining the mechanical evolution, state-of-charge and state-of-health of any closed battery using acoustic time of flight analysis. The technique is tested against off-theshelf lithium ion and alkaline batteries: the acoustics correlate strongly to state-of-charge and state-of-health on a second-to-second basis. This technique provides new physical measurements into two completely different batteries that were sold by the billion in 2014 alone. We show that property distributions of batteries can be determined in unmodified full cells in real time, in operando, without electrodes, and using only a single point of contact. In previous studies these measurements have been related, via complex lab equipment, to rapid battery fade as well as safety concerns. This work outlines simple methods to greatly increase these types of measurements in a manner that can be readily embedded into battery management systems.