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Vulnerabilities
inadvertently built into the US power grid, which is one of the
most complex systems ever constructed, have been identified by a
research team lead by Reka Albert, assistant professor of physics
at Penn State. The team's topological analysis of the grid structure
reveals that, although the system has been designed to withstand
the random loss of generators or substations, its integrity may
depend on protecting a few key elements.
"Our analysis indicates that major disruption can result from
loss of as few as two percent of the grid's substations," says
Albert, whose research team includes Istvan Albert, research associate
in the Bioinformatics Consulting Center at Penn State, and Gary
Nakarado at the National Renewable Energy Laboratory. One implication
of the research is that identification of strategic points in the
grid system can enhance defence against interruptions, whether by
equipment failure, natural disasters, or human activity. Major blackouts
caused by failures in the grid, such as the one that affected the
northeastern part of the country during the summer of 2003, incur
tremendous economic, public-health, and security risks.
The study, titled ‘Structural vulnerability of the North
American power grid,’ was published in a recent issue of the
journal Physical Review E. The researchers constructed a model of
the entire transmission grid with over 14,000 ‘nodes,’
including generators, transmission substations, and distribution
substations, and over 19,000 ‘edges,’ corresponding
to the high-voltage transmission lines that carry power between
the nodes. They measured the importance of each substation node
based on its ‘load,’ or the number of shortest paths
between other nodes that pass through it. "While 40 percent
of the nodes had a load below one thousand, the analysis identified
1 percent of the nodes - approximately 140 - that have a load higher
than one million," Albert says.
This high degree of connectiveness in the grid system allows power
to be transmitted over long distances, but it also allows local
disturbances to propagate across the grid. "There are systems
to protect the nodes from overload, such as a controlled shutdown
to take a substation out if it overloads or to shut off a generator.
In general, these systems do a good job of protecting the nodes,"
says Reka Albert. "What this model really looks at is the effect
of losing a number of nodes in a short period." If the nodes
are removed randomly, the effect on the system is roughly proportional
to the number of generators or substations removed. However, the
grid quickly becomes disconnected when the high-load transmission
substations are selectively removed from the system - if the nodes
that have the highest load are removed first, followed progressively
by the nodes with successively lower loads. According to the model,
a loss of only 4 percent of the 10,287 transmission substations
results in a 60 percent loss of connectivity. During a cascading
failure, in which the high-load substations fail in sequence, the
model shows that the loss of only 2 percent of the nodes causes
a catastrophic failure of the entire system.
The authors point out that this vulnerability is an inherent part
of the existing system. If the power grid were highly redundant,
however, the loss of a small number of nodes should not cause power
loss because the system reroutes through alternative paths. Possible
remediation schemes include increased redundancy focused on key
substations and transmission lines, or more distributed generation,
which would decrease the load on these key points.
"Future additions to the system should consider the effect
of the new nodes on relieving strain on key nodes," Albert
says. "From this model, we know how defects can propagate through
the system, we have identified parts of the system that need to
be improved because they are not redundant, and we can show which
substations need to be protected from failure in order to avoid
widespread system failure. These are considerations that could help
guide energy policy decisions."
This research was funded, in part, by the Midwest Research Institute.
Contact Reka Albert on rza1@psu.edu

•Date:
3rd September 2004 • Region: N.America •Type:
Article •Topic: Power
man.
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