A heterogeneous electrical energy storage system (HESS) is managed by determining a power demand of a dynamic electrical power load in a system having multiple rechargeable energy storage components, each of the energy storage components having a respective capacity, energy delivery rate, energy density, specific energy, and cycle characteristic. In response to determining the power demand of the electrical power load, one or more of the energy storage components are discharged to supply power to the electrical power load in accordance with at least one of: a respective remaining capacity measured for at least some of the energy storage components, and the power demand of the electrical power load relative to one or more respective rate limits currently applied to the energy storage components.