Recently, quantum battery based on various physical models from quantum optics model to spin model and its enhancement of charging performance have attracted increasing interest. It has demonstrated that quantum entanglement is beneficial for the speedup of work extraction. In this paper, the charging performance of the field intensity-dependent Dicke model (also called intensity-dependent Dicke model) quantum battery consisting of <i>N</i> qubits collectively interacting with a single mode cavity is investigated by an exact diagonalization approach. The considered intensity-dependent Dicke model is a generalized Dicke model with a nonlinear-coupling fashion and different weights of energy conserved and non-conserved terms. Firstly, we consider the influence of energy non-conserved term (also called anti-rotating wave term) on the maximum stored energy and maximum charging power in quantum batteries. It is shown that the maximum stored energy is not very sensitive to the increase of the weight of energy non-conserved term, but the maximum charging power will undergo a significant change with the increase of the weight of energy non-conserved term. We also show that the maximum charging power monotonically increases the coupling constant between qubits and cavity, but the maximum stored energy is not monotonic relation with the increase of coupling constant. Further, we examine in detail the characteristics of the maximum stored energy, charging time, energy quantum fluctuation and maximum charging power in the quantum battery under the same weight between energy conserved and non-conserved terms. By comparing the charging performance of quantum batteries based on single photon and two-photon Dicke models, it is shown that the performances both the charging times and maximum charging power of the intensity-dependent Dicke quantum battery is better than that of single-photon Dicke quantum battery, but is weaker than that of two-photon Dicke quantum battery. Of particular interest is, we find that the quantum advantage of maximum charging power for the superlinear scaling relation with large quantum cell numbers in the both intensity-dependent and two-photon Dicke quantum batteries are the same, namely $P_{max}^{ID} \propto N^2$ and $P_{max}^{2ph} \propto N^2$, which is consistent with the upper bound given by the paper (Gyhm J, Šafrǎnek D, Rosa D 2022 Phys. Rev. Lett. 128 140501). It is worth to mention that Dou <i>et al</i>. (Dou F Q, Zhou H, Sun J A 2022 Phys. Rev. A 106 032212) shown that the quantum advantage of maximum charging power in the quantum battery based on cavity Heisenberg-spin-chain model can get <i>P<sub>max</sub></i> ∝ <i>N</i><sup>2</sup>. Therefore, this study on the charging performance based on the intensity-dependent Dicke quantum battery may provide an alternative scheme for further research on quantum battery.
