  In the context of Black Hole Chemistry (BHC), holographic phase transitions
of asymptotically anti-de Sitter (AdS) charged topological black holes (TBHs)
in massive gravity coupled to Power Maxwell Invariant (PMI) electrodynamics are
discussed in the grand canonical (fixed $U(1)$ potential, $\Phi$) ensemble.
Considering all higher-order graviton's self-interactions of (dRGT) massive
gravitational field theory in arbitrary dimensions, exact TBH solutions are
derived, the explicit form of the on-shell action is computed, and the
associated thermodynamic quantities in the Grand Canonical Ensemble (GCE) are
calculated. In addition, the validity of the first law of thermodynamics and
Smarr relation are examined in the extended phase space. Regarding this model,
it is shown that a van der Waals (vdW) behavior takes place in $d \ge 4$
dimensions, a typical reentrant phase transition is observed in $d \ge 5$, and
both anomalous vdW and triple point phenomena are recognized in $d \ge 6$. So,
the results are quite different from their counterparts in the GCE of
Maxwell-massive gravity. Besides, we briefly study the critical behaviors of
higher-dimensional TBHs with a conformally invariant Maxwell source as a
special subgroup of our solutions for both Einstein and massive gravity
theories in various ensembles.
