RTCA Inc. is a private, not-for-profit corporation that develops consensus-based performance standards for aviation systems and equipment in the United States. Working in partnership with EUROCAE, its European counterpart, RTCA produces Minimum Operational Performance Standards (MOPS) and guidance documents adopted by the FAA and other civil aviation regulators worldwide.
For battery systems, RTCA DO-311A is the primary airworthiness standard for rechargeable lithium batteries installed on aircraft. RTCA DO-160 provides the environmental qualification test framework applicable to all airborne equipment, including battery systems.
RTCA Standards on batterydesign.net
References: RTCA, Inc. (official site)