A modified Newton method for radial distribution system power flow analysis
A modified Newton method for radial distribution systems is derived in which the Jacobian matrix is in UDU/sup T/ form, where U is a constant upper triangular matrix depending solely on system topology and D is a block diagonal matrix. With this formulation, the conventional steps of forming the Jac...
Saved in:
| Published in | IEEE transactions on power systems Vol. 12; no. 1; pp. 389 - 397 |
|---|---|
| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
IEEE
01.02.1997
|
| Subjects | |
| Online Access | Get full text |
Cover
Loading…
| Abstract | A modified Newton method for radial distribution systems is derived in which the Jacobian matrix is in UDU/sup T/ form, where U is a constant upper triangular matrix depending solely on system topology and D is a block diagonal matrix. With this formulation, the conventional steps of forming the Jacobian matrix, LU factorization and forward/back substitution are replaced by back/forward sweeps on radial feeders with equivalent impedances. Tests on several large distribution systems ranged from 490 to 1651 in nodes, 0.15 to 5.48 in r/x ratio and 0.0004 /spl Omega/ to 3.07 /spl Omega/ in line impedance have shown that the proposed method is as robust and efficient as the back/forward sweep method. The proposed method can be applied to other applications, such as state estimation. The proposed method can also be extended to the solution of systems with loops, dispersed generators and three phase (unbalanced) representation. |
|---|---|
| AbstractList | A modified Newton method for radial distribution systems is derived in which the Jacobian matrix is in UDU/sup T/ form, where U is a constant upper triangular matrix depending solely on system topology and D is a block diagonal matrix. With this formulation, the conventional steps of forming the Jacobian matrix, LU factorization and forward/back substitution are replaced by back/forward sweeps on radial feeders with equivalent impedances. Tests on several large distribution systems ranged from 490 to 1651 in nodes, 0.15 to 5.48 in r/x ratio and 0.0004 /spl Omega/ to 3.07 /spl Omega/ in line impedance have shown that the proposed method is as robust and efficient as the back/forward sweep method. The proposed method can be applied to other applications, such as state estimation. The proposed method can also be extended to the solution of systems with loops, dispersed generators and three phase (unbalanced) representation. A modified Newton method for radial distribution systems is derived in which the Jacobian matrix is in UDU(T) form, where U is a constant upper triangular matrix depending solely on system topology and D is a block diagonal matrix. With this formulation, the conventional steps of forming the Jacobian matrix, LU factorization and forward/back substitution are replaced by back/forward sweeps on radial feeders with equivalent impedances. Tests on several large distribution systems ranged from 490 to 1651 in nodes, 0.15 to 5.48 in r/x ratio and 0.0004 Omicron to 3.07 Omicron in line impedance have shown that the proposed method is as robust and efficient as the back/forward sweep method. The proposed method can be applied to other applications, such as state estimation. The proposed method can also be extended to the solution of systems with loops, dispersed generators and three phase (unbalanced) representation |
| Author | Cheng, C.S. Fan Zhang |
| Author_xml | – sequence: 1 surname: Fan Zhang fullname: Fan Zhang organization: ABB Automated Distribution Div., Cary, NC, USA – sequence: 2 givenname: C.S. surname: Cheng fullname: Cheng, C.S. |
| BookMark | eNo9kE1LAzEURYMo2FYXbl1lJbiY-jJpJsmyFL-w6EbXQzJ5g5GZSU1SSv-9oy3Chbs4h7u4U3I6hAEJuWIwZwz0ndBzIYUs1QmZMCFUAZXUp2QCSolCaQHnZJrSFwBUI5iQlyXtg_OtR0dfcZfDQHvMn8HRNkQajfOmo86nHL3dZj_itE8Ze7oJO4y07cKOmsF0--TTBTlrTZfw8tgz8vFw_756KtZvj8-r5bpoOPBcSKO1ZeAWApiV6MqGoZYNqpKz0nBpLEdw0jpmuVPoXCtsWVXAhZVaNcBn5Oawu4nhe4sp171PDXadGTBsU10qLoVelKN4exCbGFKK2Nab6HsT9zWD-veuWoz5u2t0rw-uR8R_7wh_AP6pZ50 |
| CODEN | ITPSEG |
| CitedBy_id | crossref_primary_10_1016_j_rser_2016_11_156 crossref_primary_10_1049_iet_gtd_2015_1518 crossref_primary_10_1080_15567036_2020_1731017 crossref_primary_10_1016_j_epsr_2023_109733 crossref_primary_10_1109_TPWRS_2019_2920382 crossref_primary_10_1109_ACCESS_2024_3369068 crossref_primary_10_3390_app7101044 crossref_primary_10_1016_j_cam_2019_04_007 crossref_primary_10_1016_j_ijepes_2017_08_011 crossref_primary_10_1109_TPWRS_2003_818600 crossref_primary_10_1002_etep_206 crossref_primary_10_1049_iet_gtd_2018_6220 crossref_primary_10_7227_IJEEE_46_1_3 crossref_primary_10_1080_15325000802322046 crossref_primary_10_1155_2014_742171 crossref_primary_10_1049_iet_gtd_20060451 crossref_primary_10_1007_s00202_021_01404_4 crossref_primary_10_1108_COMPEL_10_2019_0425 crossref_primary_10_1109_ACCESS_2020_3044170 crossref_primary_10_4028_www_scientific_net_AMR_1070_1072_253 crossref_primary_10_1109_TPWRS_2004_835659 crossref_primary_10_1016_j_rser_2016_11_143 crossref_primary_10_1016_j_jare_2019_04_001 crossref_primary_10_1016_j_ref_2022_03_004 crossref_primary_10_3390_en10101658 crossref_primary_10_1109_ACCESS_2020_3020334 crossref_primary_10_1088_1755_1315_558_5_052028 crossref_primary_10_1080_15325008_2016_1157109 crossref_primary_10_1002_we_299 crossref_primary_10_1016_j_epsr_2012_04_016 crossref_primary_10_1109_TSG_2015_2420115 crossref_primary_10_1155_2017_1517435 crossref_primary_10_1080_15325000801960598 crossref_primary_10_1109_59_867133 crossref_primary_10_1016_j_segan_2017_12_004 crossref_primary_10_1016_j_epsr_2019_106088 crossref_primary_10_1049_iet_gtd_2019_0726 crossref_primary_10_1109_TSG_2014_2372318 crossref_primary_10_1109_ACCESS_2019_2909325 crossref_primary_10_1109_TPWRD_2009_2021039 crossref_primary_10_1016_j_epsr_2021_107691 crossref_primary_10_1109_TPWRS_2005_856986 crossref_primary_10_1109_TPWRS_2013_2290813 crossref_primary_10_1016_j_apnum_2019_08_022 crossref_primary_10_1109_TPWRS_2017_2788055 crossref_primary_10_1016_j_ijepes_2016_10_002 crossref_primary_10_1016_S0142_0615_00_00009_0 crossref_primary_10_1016_j_proeng_2011_11_2574 crossref_primary_10_4028_www_scientific_net_AMR_1070_1072_839 crossref_primary_10_1109_TSG_2020_3028825 crossref_primary_10_1016_j_ijepes_2007_06_005 crossref_primary_10_1109_59_780924 crossref_primary_10_1002_cae_20209 crossref_primary_10_1016_j_asoc_2023_110057 crossref_primary_10_1088_1757_899X_870_1_012031 crossref_primary_10_1109_ACCESS_2022_3207783 crossref_primary_10_1016_j_enconman_2020_112491 crossref_primary_10_1155_2020_5643410 crossref_primary_10_1016_j_ijepes_2017_02_006 crossref_primary_10_3390_en15218178 crossref_primary_10_1016_j_ijepes_2014_05_015 crossref_primary_10_1155_2023_8763116 crossref_primary_10_1109_TCSII_2022_3204606 crossref_primary_10_3390_en13020386 crossref_primary_10_1016_j_epsr_2009_12_006 crossref_primary_10_1016_j_ijepes_2019_05_055 crossref_primary_10_5370_JEET_2007_2_3_329 crossref_primary_10_1109_TSG_2012_2187078 crossref_primary_10_1016_j_egyr_2018_01_004 crossref_primary_10_1080_15325008_2020_1758846 crossref_primary_10_1109_TPWRD_2013_2247068 crossref_primary_10_1109_59_962401 crossref_primary_10_1049_joe_2018_9194 crossref_primary_10_3390_en15249348 crossref_primary_10_1016_j_ijepes_2015_08_004 crossref_primary_10_1016_j_measen_2024_101078 crossref_primary_10_1049_iet_gtd_2019_0388 crossref_primary_10_1109_TPWRS_2006_873115 crossref_primary_10_1016_j_epsr_2011_10_005 crossref_primary_10_1016_j_ijepes_2016_05_002 crossref_primary_10_1108_COMPEL_03_2018_0115 crossref_primary_10_1109_TPWRD_2003_822960 crossref_primary_10_1016_j_epsr_2015_12_033 crossref_primary_10_1109_TSG_2017_2754551 crossref_primary_10_1109_JSYST_2019_2921432 crossref_primary_10_1016_j_epsr_2012_08_011 crossref_primary_10_1002_nme_5470 crossref_primary_10_4028_www_scientific_net_AMR_756_759_2936 crossref_primary_10_1016_S0142_0615_00_00048_X crossref_primary_10_1109_JSYST_2014_2330606 |
| Cites_doi | 10.1109/59.336098 10.1109/59.496178 10.1109/59.476074 10.1109/TPAS.1970.292679 10.1109/TPAS.1974.293985 10.1109/TPAS.1981.316511 10.1109/59.373946 10.1109/59.99382 10.1109/59.496174 10.1109/59.387902 10.1109/59.192932 10.1109/TPAS.1982.317050 10.1109/TPAS.1967.291823 10.1109/TPAS.1980.319578 |
| ContentType | Journal Article |
| DBID | AAYXX CITATION 7SP 8FD L7M |
| DOI | 10.1109/59.575728 |
| DatabaseName | CrossRef Electronics & Communications Abstracts Technology Research Database Advanced Technologies Database with Aerospace |
| DatabaseTitle | CrossRef Technology Research Database Advanced Technologies Database with Aerospace Electronics & Communications Abstracts |
| DatabaseTitleList | Technology Research Database |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Engineering |
| EISSN | 1558-0679 |
| EndPage | 397 |
| ExternalDocumentID | 10_1109_59_575728 575728 |
| GroupedDBID | -~X .DC 0R~ 29I 3EH 4.4 5GY 5VS 6IK 85S 97E AAJGR AASAJ ABFSI ABQJQ ABVLG ACGFO ACGFS ACIWK ACKIV AENEX AETIX AI. AIBXA AKJIK ALLEH ALMA_UNASSIGNED_HOLDINGS ASUFR ATWAV BEFXN BFFAM BGNUA BKEBE BPEOZ CS3 DU5 E.L EBS EJD HZ~ H~9 ICLAB IFIPE IFJZH IPLJI JAVBF LAI M43 MS~ O9- OCL P2P RIA RIE RIG RNS TAE TN5 VH1 VJK XFK AAYXX CITATION 7SP 8FD L7M |
| ID | FETCH-LOGICAL-c303t-7a99b10d4501b7ed2c1e97ce82312a37ab3e0d7bd1b3d8eddf5b266035b798c03 |
| IEDL.DBID | RIE |
| ISSN | 0885-8950 |
| IngestDate | Fri Aug 16 02:06:28 EDT 2024 Fri Aug 23 00:43:08 EDT 2024 Wed Jun 26 19:30:23 EDT 2024 |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 1 |
| Language | English |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-c303t-7a99b10d4501b7ed2c1e97ce82312a37ab3e0d7bd1b3d8eddf5b266035b798c03 |
| Notes | ObjectType-Article-2 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 23 |
| PQID | 28375942 |
| PQPubID | 23500 |
| PageCount | 9 |
| ParticipantIDs | ieee_primary_575728 proquest_miscellaneous_28375942 crossref_primary_10_1109_59_575728 |
| PublicationCentury | 1900 |
| PublicationDate | 1997-02-01 |
| PublicationDateYYYYMMDD | 1997-02-01 |
| PublicationDate_xml | – month: 02 year: 1997 text: 1997-02-01 day: 01 |
| PublicationDecade | 1990 |
| PublicationTitle | IEEE transactions on power systems |
| PublicationTitleAbbrev | TPWRS |
| PublicationYear | 1997 |
| Publisher | IEEE |
| Publisher_xml | – name: IEEE |
| References | ref13 ref15 ref14 chua (ref12) 1975 ref11 kersting (ref6) 0 ref10 ref2 ref1 ref16 ref8 ref7 ref9 ref4 ref3 ref5 |
| References_xml | – ident: ref14 doi: 10.1109/59.336098 – year: 1975 ident: ref12 publication-title: Computer-Aided Analysis of Electronic Circuits contributor: fullname: chua – ident: ref15 doi: 10.1109/59.496178 – ident: ref9 doi: 10.1109/59.476074 – ident: ref10 doi: 10.1109/TPAS.1970.292679 – ident: ref4 doi: 10.1109/TPAS.1974.293985 – ident: ref3 doi: 10.1109/TPAS.1981.316511 – ident: ref13 doi: 10.1109/59.373946 – ident: ref7 doi: 10.1109/59.99382 – ident: ref16 doi: 10.1109/59.496174 – year: 0 ident: ref6 article-title: an application of ladder network theory to the solution of three phase radial load flow problems publication-title: 1976 IEEE PES Winter Meeting contributor: fullname: kersting – ident: ref8 doi: 10.1109/59.387902 – ident: ref5 doi: 10.1109/59.192932 – ident: ref2 doi: 10.1109/TPAS.1982.317050 – ident: ref1 doi: 10.1109/TPAS.1967.291823 – ident: ref11 doi: 10.1109/TPAS.1980.319578 |
| SSID | ssj0006679 |
| Score | 2.0270617 |
| Snippet | A modified Newton method for radial distribution systems is derived in which the Jacobian matrix is in UDU/sup T/ form, where U is a constant upper triangular... A modified Newton method for radial distribution systems is derived in which the Jacobian matrix is in UDU(T) form, where U is a constant upper triangular... |
| SourceID | proquest crossref ieee |
| SourceType | Aggregation Database Publisher |
| StartPage | 389 |
| SubjectTerms | Distributed power generation Impedance Jacobian matrices Load flow Load flow analysis Newton method Robustness State estimation Topology Voltage |
| Title | A modified Newton method for radial distribution system power flow analysis |
| URI | https://ieeexplore.ieee.org/document/575728 https://search.proquest.com/docview/28375942 |
| Volume | 12 |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| link | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwjZ1bS8MwFMeD25M-eJmK8xrE19Y0aZrmcYhjKPjkYG8lt4I427G1CH56c-mGtwehD6U0UHJCzv805_wOADfWzIKJ0lpAlFmUlgmPODY2VDHCQXCsQ1Q-2-Ipm0zThxmddZxtXwtjjPHJZyZ2t_4sX9eqdb_KbPBOGc57oJcjHEq1NptulgWsXp7TKOcUdRChBPFbyuMw8Jvr8b1Ufm3A3quM90K59srDCF0yyWvcNjJWHz9Qjf_84H2w26lLOArL4QBsmWoAdr4wBw_B4wi-1fqltNIT2h3OSj8YukhDK1_h0qEK5lA7nG7XCQsG2DNcuH5qsJzX71B0JJMjMB3fP99Noq6jQqSsq2oiJjiXCdIpRYlkRmOVGM6UcWeBWBAmJDFIM6kTSXRutC6ptB4cESoZzxUix6Bf1ZU5ARCXOsVCIlkyqwpVxpW0WoYolkmSaUSG4Ho92cUigDMKH3AgXlB7-ZkZgoGbtM0L66dXa6sUdrG7EwxRmbpdFQ7VQ3mKT_8cdwa2A1zWJZucg36zbM2FlQyNvPSL5ROjw8Cb |
| link.rule.ids | 315,786,790,802,27955,27956,55107 |
| linkProvider | IEEE |
| linkToHtml | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwjZ1LSwMxEMeD1oN68FEV66tBvG7NPrLZHIso1daeWuhtyWtBrN3SB4Kf3kmyLb4Owh6WZQNLJmT-s5n5DUI3YGbBRAEWEEUaJEXIAx4ZCFWMsBAccIjKZVv0084weRrRUcXZdrUwxhiXfGZa9tad5etSLe2vMgjeKYuyTbQFbp4wX6y13nbT1IP1sowGGaekwgiFhN9S3vJDvzkf103l1xbs_MrDvi_YnjscoU0neW0tF7KlPn7AGv_5yQdor9KXuO0XxCHaMJM62v1CHTxC3TZ-K_VLAeITwx4H4g_7PtIYBCyeWVjBGGsL1K16YWGPe8ZT21ENF-PyHYuKZXKMhg_3g7tOUPVUCBQ4q0XABOcyJDqhJJTM6EiFhjNl7GlgJGImZGyIZlKHMtaZ0bqgEnw4ialkPFMkPkG1STkxpwhHhU4iIYksGOhClXIlQc3EiqUyTjWJG-h6Ndn51KMzchdyEJ5TuNzMNFDdTtr6hdXT5soqOSx3e4YhJqZcznML66E8ic7-HNdE253Bcy_vPfa752jHo2Zt6skFqi1mS3MJAmIhr9zC-QTzYsPv |
| openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=A+modified+Newton+method+for+radial+distribution+system+power+flow+analysis&rft.jtitle=IEEE+transactions+on+power+systems&rft.au=Zhang%2C+Fan&rft.au=Cheng%2C+C+S&rft.date=1997-02-01&rft.issn=0885-8950&rft.volume=12&rft.issue=1&rft.spage=389&rft.epage=397&rft_id=info:doi/10.1109%2F59.575728&rft.externalDBID=NO_FULL_TEXT |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0885-8950&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0885-8950&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0885-8950&client=summon |