Surprisingly, the inventors have found that electrolyte compositions that work well for intercalation-type anode and cathode electrodes (of various particle size) as well as electrolytes that show improved performance for nano-sized (e.g., in the range from about 1 nm to about 200 nm) conversion-type anode and cathode electrodes or nano-sized (typically in the range from 1 nm to 200 nm) alloying-type anodes, perform poorly in cells comprising high-capacity (nano)composite anode particles (e.g., powders), which exhibit moderately high volume changes (e.g., about 8-about 180 vol. %) during the first charge-discharge cycle, moderate volume changes (e.g., about 4-about 50 vol. %) during the subsequent charge-discharge cycles and an average size in the range from around 0.2 to around 40 microns. Furthermore, electrolytes which typically perform poorly in cells with conventional nano-sized (e.g., in the range from about 1 nm to about 200 nm) alloying-type anode materials, were found to perform markedly better in cells comprising high-capacity (nano)composite anode particles (e.g., powders), which exhibit moderately high volume changes (e.g., about 8-about 180 vol. %) during the first charge-discharge cycle, moderate volume changes (e.g., about 4-about 50 vol. %) during the subsequent charge-discharge cycles and an average size in the range from around 0.2 to around 40 microns. The impact of changes in the electrolyte composition on the otherwise improved cell performance with such (nano)composite anodes comprising alloying-type anode materials was found to be particularly strong for certain applications. In particular, identifying electrolyte compositions for the improved performance of a sub-class of such anode powders with specific surface area in the range from around 0.5 m²/g to around 50 m²/g was found to be particularly valuable and impactful for achieving a combination of good stability, good energy density, and other performance characteristics. In an example, for those anode materials that comprise silicon (Si), the (nano)composite electrodes with gravimetric capacities in the range from around 600 mAh/g to around 2200 mAh/g or around 2600 mAh/g (normalized by the total mass of (nano)composite particles, binders and conductive additives combined) were particularly valuable because the combination of the disclosed electrolyte compositions with such anodes allowed cells to achieve an attractive combination of good stabilities, good energy density, good rate performance, and other important and desired performance characteristics.