Hybrid energy storage systems benefit significantly from incorporating nanoparticles containing metallic oxides, potassium phosphate, chemical compounds, and sulfides. The current technological problem is to increase the device’s electrical capacity without decreasing its energy capacity. The energy storage capacity of lithium-ion cells has been greatly improved by the use of tiny carbon particles owing to their conductive qualities, extensive specific surface area, customizable form, and intrinsic resilience. Further biologically active layouts, thinner ion-diffusion dimensions, and increased aboard carrier-/charge-transport motion are all made possible by incorporating effective bi-dimensional nanomaterials into future-oriented battery packs. For applications like lithium-ion batteries and electrochemical capacitors, this research presents carbon-based energy storage (CES) using a support vector machine (SVM) incorporating Particle Swarm Optimization (CES-SVM) to investigate the long-term stability of nanoparticle alloy forms of a specific shape and chemical makeup. This paper provides a potential improvement to the intermittent particle swarm optimization technique and its accompanying algorithmic architecture. Hybrid nanocomposites have been successfully synthesized, allowing the easy synthetic pathway and unique growth of nanostructuring technology to be used for electrodes with outstanding electrochemical effectiveness in conventional lithium-ion batteries. This paper shows how the cell’s conductivity, the electrode/electrolyte contact, and ion diffusion all affect impedance performance. Carbonaceous electrodes for lithium-ion battery systems, electrochemical storage units, and related combination devices are examined as a final area.