  Taking local anisotropy into consideration, in this paper, some new
analytical models of relativistic anisotropic charged quark stars in linear and
quadratic regime have been developed. The Einstein-Maxwell field equations have
been solved with a particular form of metric potential and electric field
intensity. The plots generated show that physical variables such as metric
potentials, radial pressure, energy density, charge density, anisotropy, radial
speed sound are consistent with realistic stellar models. We obtained some
models consistent with stellar objects as 4U 1538-52, Cyg X-2, OGLE-TR-122b and
red dwarf Proxima Centauri.
