THESIS
2016
x, 54 pages : illustrations (some color) ; 30 cm
Abstract
Fluctuations of resources in complex networks such as power grids are common and it
may cause the current
flows to exceed the capacity limit of the transmission links and
cause them to fail. The failure or breakdown of a transmission line can easily trigger
cascading failures in the network. This problem receives renewed attention especially in
power grids when renewable energy sources with large
fluctuations such as solar and wind
energy are increasingly deployed in power supply.
In this thesis, we introduce the message passing algorithm and discrete Green's function
to elucidate how resource
fluctuations determine
flow
fluctuations in links of a network
with quadratic cost functions. The methods are also generalized to networks using general
cost functions and our n...[
Read more ]
Fluctuations of resources in complex networks such as power grids are common and it
may cause the current
flows to exceed the capacity limit of the transmission links and
cause them to fail. The failure or breakdown of a transmission line can easily trigger
cascading failures in the network. This problem receives renewed attention especially in
power grids when renewable energy sources with large
fluctuations such as solar and wind
energy are increasingly deployed in power supply.
In this thesis, we introduce the message passing algorithm and discrete Green's function
to elucidate how resource
fluctuations determine
flow
fluctuations in links of a network
with quadratic cost functions. The methods are also generalized to networks using general
cost functions and our numerical simulations show that the methods yield excellent
agreement with simulation results when the
fluctuations are not too high. Furthermore,
we develop an optimized bandwidth allocation scheme so as to minimize the number of
failed links or the amount of excess
flows in networks under
fluctuations, given that the
total bandwidth of the network is fixed. Compared with the conventional approach of
proportionate bandwidth assignment, it is found that the optimized bandwidth allocation
can highly enhance the stability of the networks against
fluctuations.
Post a Comment