Quadratic Discriminant Index for Optimal Multiplier Load Flow Method in ill conditioned system
In ill conditioned power systems, the classical Optimal Multiplier Load Flow Method (OMLFM) can only calculate Low Voltage Solutions (LVS) at the vicinity of the maximum loading point (MLP). It cannot determine the boundary zone between solvable and unsolvable cases of load flow equations solution....
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| Format: | Article |
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Elsevier
2014
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| _version_ | 1825720082375901184 |
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| author | Shahriari, A. Mokhlis, Hazlie Karimi, M. Bakar, Ab Halim Abu Illias, Hazlee Azil |
| author_facet | Shahriari, A. Mokhlis, Hazlie Karimi, M. Bakar, Ab Halim Abu Illias, Hazlee Azil |
| author_sort | Shahriari, A. |
| collection | UM |
| description | In ill conditioned power systems, the classical Optimal Multiplier Load Flow Method (OMLFM) can only calculate Low Voltage Solutions (LVS) at the vicinity of the maximum loading point (MLP). It cannot determine the boundary zone between solvable and unsolvable cases of load flow equations solution. Considering this limitation, this paper proposed the Quadratic Discriminant Index (QDI) based on the properties of quadratic form of load flow equations to enhance OMLFM to find LVS at the MLP in polar coordinate form. These properties can describe all straight lines through two distinct state variables solution as Multiple Load Flow Solutions (MLFS) in OMLFM. The trajectory of these lines approaches MLP in term of loading factor. Furthermore, in this process, MLP in well, ill and unsolvable operation zones can also be determined. The test results of a single-machine system and IEEE 14, 57 and 118-bus test systems demonstrate the validity of the proposed method. |
| first_indexed | 2024-03-06T05:29:35Z |
| format | Article |
| id | um.eprints-11785 |
| institution | Universiti Malaya |
| last_indexed | 2024-03-06T05:29:35Z |
| publishDate | 2014 |
| publisher | Elsevier |
| record_format | dspace |
| spelling | um.eprints-117852019-10-10T02:33:00Z http://eprints.um.edu.my/11785/ Quadratic Discriminant Index for Optimal Multiplier Load Flow Method in ill conditioned system Shahriari, A. Mokhlis, Hazlie Karimi, M. Bakar, Ab Halim Abu Illias, Hazlee Azil TA Engineering (General). Civil engineering (General) In ill conditioned power systems, the classical Optimal Multiplier Load Flow Method (OMLFM) can only calculate Low Voltage Solutions (LVS) at the vicinity of the maximum loading point (MLP). It cannot determine the boundary zone between solvable and unsolvable cases of load flow equations solution. Considering this limitation, this paper proposed the Quadratic Discriminant Index (QDI) based on the properties of quadratic form of load flow equations to enhance OMLFM to find LVS at the MLP in polar coordinate form. These properties can describe all straight lines through two distinct state variables solution as Multiple Load Flow Solutions (MLFS) in OMLFM. The trajectory of these lines approaches MLP in term of loading factor. Furthermore, in this process, MLP in well, ill and unsolvable operation zones can also be determined. The test results of a single-machine system and IEEE 14, 57 and 118-bus test systems demonstrate the validity of the proposed method. Elsevier 2014-09 Article PeerReviewed Shahriari, A. and Mokhlis, Hazlie and Karimi, M. and Bakar, Ab Halim Abu and Illias, Hazlee Azil (2014) Quadratic Discriminant Index for Optimal Multiplier Load Flow Method in ill conditioned system. International Journal of Electrical Power & Energy Systems, 60. pp. 378-388. ISSN 0142-0615, DOI https://doi.org/10.1016/j.ijepes.2014.03.028 <https://doi.org/10.1016/j.ijepes.2014.03.028>. http://www.sciencedirect.com/science/article/pii/S0142061514001306 http://dx.doi.org/10.1016/j.ijepes.2014.03.028 |
| spellingShingle | TA Engineering (General). Civil engineering (General) Shahriari, A. Mokhlis, Hazlie Karimi, M. Bakar, Ab Halim Abu Illias, Hazlee Azil Quadratic Discriminant Index for Optimal Multiplier Load Flow Method in ill conditioned system |
| title | Quadratic Discriminant Index for Optimal Multiplier Load Flow Method in ill conditioned system |
| title_full | Quadratic Discriminant Index for Optimal Multiplier Load Flow Method in ill conditioned system |
| title_fullStr | Quadratic Discriminant Index for Optimal Multiplier Load Flow Method in ill conditioned system |
| title_full_unstemmed | Quadratic Discriminant Index for Optimal Multiplier Load Flow Method in ill conditioned system |
| title_short | Quadratic Discriminant Index for Optimal Multiplier Load Flow Method in ill conditioned system |
| title_sort | quadratic discriminant index for optimal multiplier load flow method in ill conditioned system |
| topic | TA Engineering (General). Civil engineering (General) |
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