This study investigates a galloping system integrated with a series of piezoelectric dynamic vibration absorbers (PDVAs), achieving the dual functions of vibration suppression and energy harvesting. The incremental harmonic balance method (IHBM) is employed to derive the periodic solutions of the galloping suppression system equipped with different vibration absorbers, and the results are validated through numerical simulations. Comparative analyses of wind speed-displacement curves, wind speed-voltage characteristics, phase portraits, and time-history responses demonstrate excellent agreement between the IHBM and numerical solutions. Notably, under identical computational conditions, the IHBM exhibits significantly higher computational efficiency than numerical methods, providing a more efficient analytical approach for the analysis of galloping systems. Furthermore, parametric studies are conducted to evaluate the influence of PDVA parameters-including mass, stiffness,and damping on both the primary system’s vibration suppression performance and the output voltage. The comparative assessment elucidates the effects of these parameters on vibration mitigation, thereby guiding the optimal design of absorbers through appropriate parameter selection.