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We study a multicomponent $CP^N$ model's scalar electrodynamics. The modelcontains Q-balls/shells, which are non-topological compact solitons with timedependency $e^{i\omega t}$. Two coupled $CP^N$ models can decouple locally ifone of their $CP^N$ fields takes the vacuum value. Because of the compactonnature of solutions, Q-shells can shelter another compact Q-ball or Q-shellwithin their hollow region. Even if compactons do not overlap, they caninteract through the electromagnetic field. We investigate how the size ofmulti-compacton formations is affected by electric charge. We are interested instructures with non-zero or zero total net charge.

Gauged compact Q-balls and Q-shells in a multi-component $CP^N$ model