abstract— in this paper, a parametric model order reduction
(pmor) technique is proposed to find a simplified system
representation of a large-scale and complex thermal system. the
main principle behind this technique is that any change of the
physical parameters in the high-fidelity model can be updated
directly in the simplified model. for deriving the parametric
reduced model, a krylov subspace method is employed which
yields the relevant subspaces of the projected state. with the
help of the projection operator, first moments of the low-rank
model are set identical to the correspondent moments of the
original model. additionally, a prior upper bound of the error
induced by the approximation is derived.