<doi_batch xmlns="http://www.crossref.org/schema/4.4.0" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" version="4.4.0"><head><doi_batch_id>d60bd5e8-5a0d-41c0-98a3-ff9cb65d968b</doi_batch_id><timestamp>20250619042951952</timestamp><depositor><depositor_name>wseas:wseas</depositor_name><email_address>mdt@crossref.org</email_address></depositor><registrant>MDT Deposit</registrant></head><body><journal><journal_metadata language="en"><full_title>WSEAS TRANSACTIONS ON CIRCUITS AND SYSTEMS</full_title><issn media_type="electronic">2224-266X</issn><issn media_type="print">1109-2734</issn><archive_locations><archive name="Portico"/></archive_locations><doi_data><doi>10.37394/23201</doi><resource>http://wseas.org/wseas/cms.action?id=2861</resource></doi_data></journal_metadata><journal_issue><publication_date media_type="online"><month>2</month><day>14</day><year>2025</year></publication_date><publication_date media_type="print"><month>2</month><day>14</day><year>2025</year></publication_date><journal_volume><volume>24</volume><doi_data><doi>10.37394/23201.2025.24</doi><resource>https://wseas.com/journals/cas/2025.php</resource></doi_data></journal_volume></journal_issue><journal_article language="en"><titles><title>Optimal PMU Placement based on Voltage Stability Index for Observability of Network</title></titles><contributors><person_name sequence="first" contributor_role="author"><given_name>P.</given_name><surname>Lakshminarayana</surname><affiliation>Department of Electrical and Electronics Engineering, Vignan’s Foundation for Science, Technology, and Research, Vadlamudi, Guntur 522213, INDIA</affiliation></person_name><person_name sequence="additional" contributor_role="author"><given_name>K. Mercy</given_name><surname>Rosalina</surname><affiliation>Department of Electrical and Electronics Engineering, Vignan’s Foundation for Science, Technology, and Research, Vadlamudi, Guntur 522213, INDIA</affiliation></person_name><person_name sequence="additional" contributor_role="author"><given_name>Ch. N. Narasimha</given_name><surname>Rao</surname><affiliation>Department of Electrical and Electronics Engineering, Vignan’s Foundation for Science, Technology, and Research, Vadlamudi, Guntur 522213, INDIA</affiliation></person_name><person_name sequence="additional" contributor_role="author"><given_name>Y. Srinivasa</given_name><surname>Rao</surname><affiliation>Department of Electrical and Electronics Engineering, Vignan’s Foundation for Science, Technology, and Research, Vadlamudi, Guntur 522213, INDIA</affiliation></person_name><person_name sequence="additional" contributor_role="author"><given_name>M. Uma Maheswara</given_name><surname>Rao</surname><affiliation>Department of Electrical and Electronics Engineering, Vignan’s Foundation for Science, Technology, and Research, Vadlamudi, Guntur 522213, INDIA</affiliation></person_name></contributors><jats:abstract xmlns:jats="http://www.ncbi.nlm.nih.gov/JATS1"><jats:p>This work presents a voltage stability Index (FLVSI) for optimal PMU placement (OPP) to achieve complete network observability. Every PQ bus is considered in the FLVSI strategy to attain weak PQ bus from PMUs are conditioned to allocate at weak PQ buses using ILP approach to attain observability of network. Zero Injection (ZIB) modeling is introduced to minimize PMU places in the network. The redundancy Index (RI) is formulated to compute redundancy for all buses in the network. IEEE –14 -39 and 118- bus networks are programmed in MATLAB and compared with standard techniques to present their efficacy.</jats:p></jats:abstract><publication_date media_type="online"><month>6</month><day>19</day><year>2025</year></publication_date><publication_date media_type="print"><month>6</month><day>19</day><year>2025</year></publication_date><pages><first_page>129</first_page><last_page>134</last_page></pages><publisher_item><item_number item_number_type="article_number">15</item_number></publisher_item><ai:program xmlns:ai="http://www.crossref.org/AccessIndicators.xsd" name="AccessIndicators"><ai:free_to_read start_date="2025-06-19"/><ai:license_ref applies_to="am" start_date="2025-06-19">https://wseas.com/journals/cas/2025/a305101-012(2025).pdf</ai:license_ref></ai:program><archive_locations><archive name="Portico"/></archive_locations><doi_data><doi>10.37394/23201.2025.24.15</doi><resource>https://wseas.com/journals/cas/2025/a305101-012(2025).pdf</resource></doi_data><citation_list><citation key="ref0"><unstructured_citation>Abur, Ali, and Antonio Gomez Exposito. “Power system state estimation: theory and implementation”, CRC press, 2004. 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