  We consider the problem of privately releasing aggregated network statistics
obtained from solving a DC optimal power flow (OPF) problem. It is shown that
the mechanism that determines the noise distribution parameters are linked to
the topology of the power system and the monotonicity of the network. We derive
a measure of "almost" monotonicity and show how it can be used in conjunction
with a linear program in order to release aggregated OPF data using the
differential privacy framework.
