A power system with multiple interconnected areas needs to be operated coordinately
for the purposes of the system reliability and economic operation, although
each area has its own ISO under the market environment. In consolidation of different
areas under a common grid coordinator, analysis of a power system becomes more
computationally demanding. Furthermore, the analysis becomes more challenging
because each area cannot obtain the network operating or economic data of other
areas.
This dissertation investigates decomposition algorithms for multi-area power system
transfer capability analysis and economic dispatch analysis. All of the proposed
algorithms assume that areas do not share their network operating and economic
information among themselves, while they are willing to cooperate via a central coordinator
for system wide analyses.
The first proposed algorithm is based on power transfer distribution factors
(PTDFs). A quadratic approximation, developed for the nonlinear PTDFs, is used to
update tie-line power flows calculated by Repeated Power Flow (RPF). These tie-line
power flows are then treated as injections in the TTC calculation of each area, as
the central entity coordinates these results to determine the final system-wide TTC
value.
The second proposed algorithm is based on REI-type network equivalents. It uses
the Continuation Power Flow (CPF) as the computational tool and, thus, the problem of voltage stability is considered in TTC studies. Each area uses REI equivalents of
external areas to compute its TTC via the CPF. The choice and updating procedure
for the continuation parameter employed by the CPF is implemented in a distributed
but coordinated manner.
The third proposed algorithm is based on inexact penalty functions. The traditional
OPF is treated as the optimization problems with global variables. Quadratic
penalty functions are used to relax the compatible constraints between the global
variables and the local variables. The solution is proposed to be implemented by
using a two-level computational architecture.
All of the proposed algorithms are verified by numerical comparisons between the
integrated and proposed decomposition algorithms. The proposed algorithms lead to
potential gains in the computational efficiency with limited data exchanges among
areas.
| Identifer | oai:union.ndltd.org:tamu.edu/oai:repository.tamu.edu:1969.1/5919 |
| Date | 17 September 2007 |
| Creators | Min, Liang |
| Contributors | Abur, Ali |
| Publisher | Texas A&M University |
| Source Sets | Texas A and M University |
| Language | en_US |
| Detected Language | English |
| Type | Book, Thesis, Electronic Dissertation, text |
| Format | 1470049 bytes, electronic, application/pdf, born digital |
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