  Due to the accelerated expansion of the universe, the possibility of
formation of singularities has changed from the classical Big Bang and Big
Crunch singularities to include a number of new scenarios. In recent papers it
has been shown that such singularities may appear in inflationary cosmological
models with a fractional power scalar field potential. In this paper we enlarge
the analysis of singularities in scalar field cosmological models by the use of
generalised power expansions of their Hubble scalar and their scalar field in
order to describe all possible models leading to a singularity, finding other
possible cases. Unless a negative scalar field potential is considered, all
singularities are weak and of type IV.
