  In this paper, a new version of the interacting model of new agegraphic dark
energy (INADE) is proposed and analyzed in detail. The interaction between dark
energy and dark matter is reconsidered. The interaction term $Q=bH_0\rho_{\rm
de}^\alpha\rho_{\rm dm}^{1-\alpha}$ is adopted, which abandons the Hubble
expansion rate $H$ and involves both $\rho_{\rm de}$ and $\rho_{\rm dm}$.
Moreover, the new initial condition for the agegraphic dark energy is used,
which solves the problem of accommodating baryon matter and radiation in the
model. The solution of the model can be given using an iterative algorithm. A
concrete example for the calculation of the model is given. Furthermore, the
model is constrained by using the combined Planck data (Planck+BAO+SNIa+$H_0$)
and the combined WMAP-9 data (WMAP+BAO+SNIa+$H_0$). Three typical cases are
considered: (A) $Q=bH_0\rho_{\rm de}$, (B) $Q=bH_0\sqrt{\rho_{\rm de}\rho_{\rm
dm}}$, and (C) $Q=bH_0\rho_{\rm dm}$, which correspond to $\alpha=1$, 1/2, and
0, respectively. The departures of the models from the $\Lambda$CDM model are
measured by the $\Delta$BIC and $\Delta$AIC values. It is shown that the INADE
model is better than the NADE model in the fit, and the INADE(A) model is the
best in fitting data among the three cases.
