  In this paper, we developed three analytical models and obtained a new class
of solutions describing compact stellar structures using the theory of
teleparallel gravity. We consider the general anisotropic nature of stellar
configurations and solve teleparallel gravity equations. In order to thoroughly
analyze the various parameters of the stars, we developed three models by
choosing various physically acceptable forms of metric potential $ e^{d(r)} $
and radial pressure $ p_r(r) $. We also analyze the impact of teleparallel
gravity's parameters $ \beta $ and $ \beta_1 $ on the description of the
stellar structures. We calculated model parameters such that models describing
various observed neutron stars obey all physical conditions to be potentially
stable and causal. By analyzing the impact of various parameters of
teleparallel gravity on the description of anisotropic stellar structures, we
found that three models developed in this paper can describe anisotropic
neutron stars ranging from low density to high density. Finally, we obtain a
quadratic Equation of State for each model describing various neutron stars,
which can be utilized to find compositions of the stellar structures. It is
very useful to find models that can exhibit quadratic EOS, since material
compositions of real neutron stars and strange stars are found to exhibit
quadratic EOS by various authors. Non linear $ f(T) $ model gives high
deviation of EOS from quadratic behaviour, thus, in this paper we work with
linear $ f(T) $ function by using diagonal tetrad to model realistic compact
stars.
