We examine the performance of a multiple regenerative decode-and-forward relay network enhanced with energy harvesting (EH) in the context of generalized \(\kappa \) - \(\mu \) fading channels. We employ a partial relay selection strategy to optimize relay selection and integrate a selection combining scheme at the receiver to combine both direct and relaying path signals. In our study, we initially derive the exact closed-form expression of the cumulative distribution function (CDF) for the considered system. Utilizing the CDF-based approach, we subsequently obtain expressions for the outage probability (OP) and the moment generating function. Furthermore, we derive expressions for the average symbol error rate for coherent quadrature amplitude modulation (QAM) schemes, including rectangular QAM and hexagonal QAM, in addition to non-coherent frequency shift keying. The asymptotic analysis of the OP reveals that the diversity order depends solely on the fading parameter \(\mu \) , and is independent of the EH configuration. Numerical and Monte Carlo simulation results validate the accuracy of the analysis, showing that a larger time switching ratio degrades system performance, while higher values of the fading parameter and an increased number of relays improve reliability. These findings provide useful guidelines for the design of EH-enabled cooperative networks under realistic fading scenarios.