In this article, we go beyond earlier limits in the analysis by using algebraic polynomials to compute the topological indices for hexagonal cage networks. We investigate hexagonal cage networks of different orders and copies by introducing M-Polynomials and Forgotten polynomials, and we derive novel closed formulae and conclusions for a broad range of topological indices. We also create an efficient technique to compute , a pivotal polynomial, as part of our work. In addition to computing, we apply algebraic polynomials to the analysis of these indices, providing more insights into their structural significance in hexagonal cage networks. This work illuminates the algebraic underpinnings of these intricate networks and broadens the scope of topological index computation, with implications for a variety of scientific domains. These polynomials allow us to calculate several features of the network, such as the first and second Zagreb, modified Zagreb, General Randić, inverse General Randić, harmonic, symmetric division, inverse sum, and so on. There are now new closed formulae and outcomes available. Additionally, we offer a technique for calculating the polynomial . We also use algebraic polynomials to analyses all of the aforementioned indices.
在本文中，我们通过使用代数多项式来计算六角笼网络的拓扑指数，超越了早期分析的局限。通过引入 M 多项式和遗忘多项式，我们研究了不同阶数和副本的六角笼网络，并推导出新的封闭公式和广泛拓扑指数的结论。作为我们工作的一部分，我们还创建了一种高效的技术来计算中枢多项式 。除了计算之外，我们还将代数多项式应用于这些指数的分析，从而更深入地了解它们在六角笼网络中的结构意义。这项工作阐明了这些错综复杂网络的代数基础，拓宽了拓扑指数计算的范围，对各种科学领域都有影响。通过这些多项式，我们可以计算网络的若干特征，如第一和第二萨格勒布、修正萨格勒布、一般兰迪克、逆一般兰迪克、谐波、对称除法、逆和等。现在又有了新的封闭公式和结果。此外，我们还提供了一种计算多项式 .我们还使用代数多项式来分析上述所有指数。
{"title":"Topological Invariants of Hexagonal Cage Network by Using Algebraic Polynomials","authors":"Muhammad Abdullah, Hasan Mahmood","doi":"10.52783/pst.235","DOIUrl":"https://doi.org/10.52783/pst.235","url":null,"abstract":"In this article, we go beyond earlier limits in the analysis by using algebraic polynomials to compute the topological indices for hexagonal cage networks. We investigate hexagonal cage networks of different orders and copies by introducing M-Polynomials and Forgotten polynomials, and we derive novel closed formulae and conclusions for a broad range of topological indices. We also create an efficient technique to compute , a pivotal polynomial, as part of our work. In addition to computing, we apply algebraic polynomials to the analysis of these indices, providing more insights into their structural significance in hexagonal cage networks. This work illuminates the algebraic underpinnings of these intricate networks and broadens the scope of topological index computation, with implications for a variety of scientific domains. These polynomials allow us to calculate several features of the network, such as the first and second Zagreb, modified Zagreb, General Randić, inverse General Randić, harmonic, symmetric division, inverse sum, and so on. There are now new closed formulae and outcomes available. Additionally, we offer a technique for calculating the polynomial . We also use algebraic polynomials to analyses all of the aforementioned indices.","PeriodicalId":20420,"journal":{"name":"Power system technology","volume":"39 5","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-03-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140252434","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Research of Refined Compensation Method on Shunt Active Power Filter","authors":"Zhao Xintao, Qiu Zhifeng, Yu Jingrong, Liao Yonggang, Gui Wei-hua","doi":"10.13335/j.1000-3673.pst.2017.1971","DOIUrl":"https://doi.org/10.13335/j.1000-3673.pst.2017.1971","url":null,"abstract":"","PeriodicalId":20420,"journal":{"name":"Power system technology","volume":"42 1","pages":"1290-1299"},"PeriodicalIF":0.0,"publicationDate":"2018-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48936369","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2018-04-08DOI: 10.13335/J.1000-3673.PST.2017.1790
Li Zehong, Yu Jun, Gu Xianshan, Yue Bo, Zhao Zheng
Construction of ±1100kV UHVDC transmission channels from West to East in China is conducive to promote large scale optimal allocation of energy sources. In UHVDC transmission systems, main DC equipment development, project implementation, reliability level and power loss caused by converter outage are deeply impacted by main connection line of converter and main circuit parameters. This is also the most important step of project system research. Firstly, evaluation method of converter connection line of UHVDC projects are proposed in this paper. Secondly, according to previous project construction, equipment design and manufacturing experiences, three converter connection schemes are proposed and main circuit parameters are analyzed respectively based on each connection scheme. Finally, a proposed assessment method of converter main connection line is used to determine a reasonable and effective main connection topology for Changji-Guquan ±1100kV UHVDC project.
{"title":"Study on Main Connection Line and Main Circuit Parameters of ±1100kV UHVDC","authors":"Li Zehong, Yu Jun, Gu Xianshan, Yue Bo, Zhao Zheng","doi":"10.13335/J.1000-3673.PST.2017.1790","DOIUrl":"https://doi.org/10.13335/J.1000-3673.PST.2017.1790","url":null,"abstract":"Construction of ±1100kV UHVDC transmission channels from West to East in China is conducive to promote large scale optimal allocation of energy sources. In UHVDC transmission systems, main DC equipment development, project implementation, reliability level and power loss caused by converter outage are deeply impacted by main connection line of converter and main circuit parameters. This is also the most important step of project system research. Firstly, evaluation method of converter connection line of UHVDC projects are proposed in this paper. Secondly, according to previous project construction, equipment design and manufacturing experiences, three converter connection schemes are proposed and main circuit parameters are analyzed respectively based on each connection scheme. Finally, a proposed assessment method of converter main connection line is used to determine a reasonable and effective main connection topology for Changji-Guquan ±1100kV UHVDC project.","PeriodicalId":20420,"journal":{"name":"Power system technology","volume":"42 1","pages":"1015-1022"},"PeriodicalIF":0.0,"publicationDate":"2018-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44451517","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2018-04-08DOI: 10.13335/J.1000-3673.PST.2017.1812
Liu Yu, Lu Jia-zheng, Luo Jing, Z. Guoyong, H. Lifu
{"title":"Synchronous Satellite Wide Area Monitoring for Overhead Transmission Line Wildfire and Tower Location","authors":"Liu Yu, Lu Jia-zheng, Luo Jing, Z. Guoyong, H. Lifu","doi":"10.13335/J.1000-3673.PST.2017.1812","DOIUrl":"https://doi.org/10.13335/J.1000-3673.PST.2017.1812","url":null,"abstract":"","PeriodicalId":20420,"journal":{"name":"Power system technology","volume":"42 1","pages":"1322-1327"},"PeriodicalIF":0.0,"publicationDate":"2018-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46803618","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2018-04-08DOI: 10.13335/J.1000-3673.PST.2017.1661
Lu Ming, Zhang Zhonghao, Li Li, Liu Zhehui, Hua Kui, Yan Xiaocheng
{"title":"Reason Analysis of Decay-Like Aging for Composite Insulator","authors":"Lu Ming, Zhang Zhonghao, Li Li, Liu Zhehui, Hua Kui, Yan Xiaocheng","doi":"10.13335/J.1000-3673.PST.2017.1661","DOIUrl":"https://doi.org/10.13335/J.1000-3673.PST.2017.1661","url":null,"abstract":"","PeriodicalId":20420,"journal":{"name":"Power system technology","volume":"42 1","pages":"1335-1341"},"PeriodicalIF":0.0,"publicationDate":"2018-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46312306","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2018-04-08DOI: 10.13335/J.1000-3673.PST.2017.1740
Qiao Ji, Lu Yao, Liu Zengxun, Zou Jun
{"title":"Influence of Transverse Wind on Ground-Level Electric Field and Ion Flow Profiles of Hybrid HVAC/HVDC Transmission Lines","authors":"Qiao Ji, Lu Yao, Liu Zengxun, Zou Jun","doi":"10.13335/J.1000-3673.PST.2017.1740","DOIUrl":"https://doi.org/10.13335/J.1000-3673.PST.2017.1740","url":null,"abstract":"","PeriodicalId":20420,"journal":{"name":"Power system technology","volume":"42 1","pages":"1234-1240"},"PeriodicalIF":0.0,"publicationDate":"2018-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46313412","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2018-04-08DOI: 10.13335/J.1000-3673.PST.2017.2421
Wu Weiping, Hu Zechun, Song Yong-hua
{"title":"Optimal Sizing of Energy Storage System for Wind Farms Combining Stochastic Programming and Sequential Monte Carlo Simulation","authors":"Wu Weiping, Hu Zechun, Song Yong-hua","doi":"10.13335/J.1000-3673.PST.2017.2421","DOIUrl":"https://doi.org/10.13335/J.1000-3673.PST.2017.2421","url":null,"abstract":"","PeriodicalId":20420,"journal":{"name":"Power system technology","volume":"42 1","pages":"1055-1062"},"PeriodicalIF":0.0,"publicationDate":"2018-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45306708","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2018-04-08DOI: 10.13335/j.1000-3673.pst.2018.0026
Cui Yang, Y. Zhiwen, Zhong Wuzhi, Ye Xiaohui
{"title":"A Joint Scheduling Strategy of CHP With Thermal Energy Storage and Wind Power to Reduce Sulfur and Nitrate Emission","authors":"Cui Yang, Y. Zhiwen, Zhong Wuzhi, Ye Xiaohui","doi":"10.13335/j.1000-3673.pst.2018.0026","DOIUrl":"https://doi.org/10.13335/j.1000-3673.pst.2018.0026","url":null,"abstract":"","PeriodicalId":20420,"journal":{"name":"Power system technology","volume":"42 1","pages":"1063-1070"},"PeriodicalIF":0.0,"publicationDate":"2018-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43763640","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2018-04-08DOI: 10.13335/J.1000-3673.PST.2017.2479
Z. Tao, Gu Jie
{"title":"Markov Short-Term Load Forecasting Method for Power System With High Proportion Renewable Energy","authors":"Z. Tao, Gu Jie","doi":"10.13335/J.1000-3673.PST.2017.2479","DOIUrl":"https://doi.org/10.13335/J.1000-3673.PST.2017.2479","url":null,"abstract":"","PeriodicalId":20420,"journal":{"name":"Power system technology","volume":"42 1","pages":"1071-1078"},"PeriodicalIF":0.0,"publicationDate":"2018-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44669453","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2018-04-08DOI: 10.13335/J.1000-3673.PST.2017.1359
X. Hang, Ju Li, Dong Shufeng, He Zhongxiao, Li Dinghua, Ren Xuegui
{"title":"Optimization of Intelligent Distribution Unit Placement to Improve Accuracy of Distribution Network State Estimation","authors":"X. Hang, Ju Li, Dong Shufeng, He Zhongxiao, Li Dinghua, Ren Xuegui","doi":"10.13335/J.1000-3673.PST.2017.1359","DOIUrl":"https://doi.org/10.13335/J.1000-3673.PST.2017.1359","url":null,"abstract":"","PeriodicalId":20420,"journal":{"name":"Power system technology","volume":"42 1","pages":"1210-1216"},"PeriodicalIF":0.0,"publicationDate":"2018-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48807025","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
京公网安备 11010802042870号
京ICP备2023020795号-1
扫码关注我们
求助内容：
应助结果提醒方式：