In studies of finite-time thermodynamics, most performance analyses co
ncern the maximum power output and the corresponding efficiency for he
at engines. In this paper, instead of just maximizing power for a cycl
e, the power density (the ratio of the power to the maximum specific v
olume in the cycle) is maximized for an Atkinson engine. The results s
howed that the efficiency at maximum power density is always greater t
han that at maximum power, and the design parameters at maximum power
density lead to smaller and more efficient Atkinson engines with large
r pressure ratios. Published by Elsevier Science Ltd.