Application of Krylov Subspace methods for solving Continuous Power Flow problem in voltage stability analysis of power system
Continuation Power Flow (CPF) analysis is developed to overcome singularity problem of Jacobian matrix of power flow analysis. This analysis is done by reformulating the power flow equations so that they remain well-conditioned at all possible loading conditions. This allows the solution of the p...
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oai:ethesis.upm.edu.my:15536 http://ethesis.upm.edu.my/id/eprint/15536/ Application of Krylov Subspace methods for solving Continuous Power Flow problem in voltage stability analysis of power system Jasni, Jasronita Continuation Power Flow (CPF) analysis is developed to overcome singularity problem of Jacobian matrix of power flow analysis. This analysis is done by reformulating the power flow equations so that they remain well-conditioned at all possible loading conditions. This allows the solution of the power flow problem for both stable and unstable equilibrium points. However, its effectiveness and efficiency are still in question 8S it needs many continuation steps to solve each problem. This situation will delay the process of corrector in the system. The CPF algorithm has also been found to fail for a system which has a very sharp turning point for the solution curve which can drag the system to have convergence problem. The step cutting technique that is used to improve convergence can lead to slightly incorrect results in the case of sharp turning point. In order to provide continuity of the power flow in both stable and unstable situations. the numerical method chosen in the analysis should be able lo provide predictor and corrector values with minimal computational effort. Therefore, the aim of this work is to introduce new algorithms that can ensure the continuous power flow eliminate the convergence problem for all power systems regardless of the size of the system and improve the existing CPF. This research will focus on static voltage stability analysis where voltage collapse is explained as static bifurcation phenomenon. Three algorithms, which are based on Krylov Subspace method, have been developed in order to overcome the drawbacks of the existing CPF. These developed algorithms are tested on 14, 118 and 300 IEEE bus systems. Furthermore, the real data with 293 buses and 595 lines is used as a practical system for verification of the new algorithms The results show that these new algorithms are able to eliminate the convergence problem faced by the existing CPF algorithm. For IEEE 300 bus system, the iteration has been reduced from 36 to 34 iterations. The CPU time ratio in performing the analysis has also been reduced between three to twenty percent. These new algorithms are also able to produce more reliable results compared to the existing CPF method. 2010-01 Thesis NonPeerReviewed text en http://ethesis.upm.edu.my/id/eprint/15536/1/FK%202010%2019%20T.pdf Jasni, Jasronita (2010) Application of Krylov Subspace methods for solving Continuous Power Flow problem in voltage stability analysis of power system. Doctoral thesis, Universiti Putra Malaysia. (FK 2010 19). |
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Continuation Power Flow (CPF) analysis is developed to overcome singularity
problem of Jacobian matrix of power flow analysis. This analysis is done by
reformulating the power flow equations so that they remain well-conditioned at all
possible loading conditions. This allows the solution of the power flow problem for
both stable and unstable equilibrium points. However, its effectiveness and
efficiency are still in question 8S it needs many continuation steps to solve each
problem. This situation will delay the process of corrector in the system. The CPF
algorithm has also been found to fail for a system which has a very sharp turning
point for the solution curve which can drag the system to have convergence
problem. The step cutting technique that is used to improve convergence can lead
to slightly incorrect results in the case of sharp turning point.
In order to provide continuity of the power flow in both stable and unstable
situations. the numerical method chosen in the analysis should be able lo provide predictor and corrector values with minimal computational effort. Therefore, the
aim of this work is to introduce new algorithms that can ensure the continuous
power flow eliminate the convergence problem for all power systems regardless of
the size of the system and improve the existing CPF. This research will focus on
static voltage stability analysis where voltage collapse is explained as static
bifurcation phenomenon. Three algorithms, which are based on Krylov Subspace
method, have been developed in order to overcome the drawbacks of the existing
CPF. These developed algorithms are tested on 14, 118 and 300 IEEE bus
systems. Furthermore, the real data with 293 buses and 595 lines is used as a
practical system for verification of the new algorithms
The results show that these new algorithms are able to eliminate the convergence
problem faced by the existing CPF algorithm. For IEEE 300 bus system, the
iteration has been reduced from 36 to 34 iterations. The CPU time ratio in
performing the analysis has also been reduced between three to twenty percent.
These new algorithms are also able to produce more reliable results compared to
the existing CPF method. |
| format |
Thesis |
| author |
Jasni, Jasronita |
| spellingShingle |
Jasni, Jasronita Application of Krylov Subspace methods for solving Continuous Power Flow problem in voltage stability analysis of power system |
| author_facet |
Jasni, Jasronita |
| author_sort |
Jasni, Jasronita |
| title |
Application of Krylov Subspace methods for solving Continuous Power Flow problem in voltage stability analysis of power system |
| title_short |
Application of Krylov Subspace methods for solving Continuous Power Flow problem in voltage stability analysis of power system |
| title_full |
Application of Krylov Subspace methods for solving Continuous Power Flow problem in voltage stability analysis of power system |
| title_fullStr |
Application of Krylov Subspace methods for solving Continuous Power Flow problem in voltage stability analysis of power system |
| title_full_unstemmed |
Application of Krylov Subspace methods for solving Continuous Power Flow problem in voltage stability analysis of power system |
| title_sort |
application of krylov subspace methods for solving continuous power flow problem in voltage stability analysis of power system |
| publishDate |
2010 |
| url |
http://ethesis.upm.edu.my/id/eprint/15536/1/FK%202010%2019%20T.pdf |
| _version_ |
1819311676324839424 |
| score |
13.4562235 |