  The analysis of the effect of noisy perturbations on real heat engines,
working on any steady-state regime has been a topic of interest within the
context of Finite-Time Thermodynamics (FTT). The study of their local stability
has been proposed through the so-called performance regimes: maximum power
output, maximum ecological function, among others. Recently, the global
stability analysis of an endoreversible heat engine was also studied taking
into account the same performance regimes. We present a study of local and
global stability analysis of power plant models (the Curzon-Ahlborn model)
operating on a generalized efficient power regime called maximum k-efficient
power. We apply the Lyapunov stability theory to construct the Lyapunov
functions to prove the asymptotically stable behavior of the steady-state of
intermediate temperatures in the Curzon-Ahlborn model. We consider the effect
of a linear heat transfer law on the phase portrait description of real power
plants, as well as the role of the $k$ parameter in the evolution of
perturbations to heat flow. In general, restructured operation conditions show
better stability in external perturbations.
