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We investigate the charging process of quantum battery (QB) systems in anextended Dicke model with both atomic interactions and an external drivingfield. We focus on the effects of the atomic interaction and the externaldriving field on the charging performance of QB and find that the maximumstored energy of QB has a critical phenomenon. We analyze the critical behaviorand obtain the analytical expression of the critical atomic interaction. Thedependence of the maximum stored energy, the energy quantum fluctuations andthe maximum charging power on the number $N$ of the two-level systems are alsodiscussed. In particular, for the maximum charging power, we obtain the quantumadvantage of the QB, which approximately satisfies a superlinear scalingrelation $P_{max}\propto N^{\alpha}$, where scaling exponent $\alpha$ varieswith the number $N$ of the two-level systems. In the ultra-strong couplingregime, the atomic interaction can lead to a faster battery charging, and thequantum advantage $\alpha = 1.88$ can be achieved. While in the deep-strongcoupling regime, the quantum advantage of the QB's maximum charging power isthe same as that of the Dicke QB, i.e., $\alpha=1.5$.

Extended Dicke quantum battery with interatomic interactions and driving field