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Line segment pole functions in the MMP method applied to shielded cables

Show simple item record Huijer E. Karaki S.H. Malkoun J.
dc.contributor.editor 2006 2017-10-04T11:07:34Z 2017-10-04T11:07:34Z 2006
dc.identifier 10.1109/TPWRD.2006.877077
dc.identifier.issn 08858977
dc.description.abstract The multiple multipole method (MMP) of computation for electromagnetic field problems that has been proposed as an alternative to existing finite-element and related methods is being extended in this work by the use of segment functions. In this method linear combinations of defining functions that satisfy themselves the pertaining partial differential equations (e.g., Laplace's equation) are employed to synthesize a solution of a potential in a certain region with given boundary conditions. The solution, as given by these defining functions, will be matched at selected points on the boundary (e.g., conductor surface). This will generate a redundant set of equations from which the coefficients of the various functions in the series solutions are deduced by the method of least squares. To reduce the number of functions in the series expansion, a novel class of harmonic functions obtained by integration of monopole or dipole point functions is investigated. These functions are obtained by integrating a point source function along a line segment. The efficiency of the procedure using these functions has been demonstrated in the calculation of the electrostatic potential and the capacitance of practical two-core cables with elliptical and circular conductors and three-core cables with sector shaped conductors. © 2006 IEEE.
dc.format.extent Pages: (2082-2087)
dc.language English
dc.publisher PISCATAWAY
dc.relation.ispartof Publication Name: IEEE Transactions on Power Delivery; Publication Year: 2006; Volume: 21; no. 4; Pages: (2082-2087);
dc.source Scopus
dc.title Line segment pole functions in the MMP method applied to shielded cables
dc.type Article
dc.contributor.affiliation Huijer, E., Electrical and Computer Engineering Department, American University of Beirut, Beirut 11072020, Lebanon
dc.contributor.affiliation Karaki, S.H., Electrical and Computer Engineering Department, American University of Beirut, Beirut 11072020, Lebanon
dc.contributor.affiliation Malkoun, J., Department of Mathematics, McGill University, Montreal, QC H3A 2T5, Canada
dc.contributor.authorAddress Huijer, E.; Electrical and Computer Engineering Department, American University of Beirut, Beirut 11072020, Lebanon; email:
dc.contributor.authorCorporate University: American University of Beirut; Faculty: Faculty of Engineering and Architecture; Department: Electrical and Computer Engineering;
dc.contributor.authorDepartment Electrical and Computer Engineering
dc.contributor.authorFaculty Faculty of Engineering and Architecture
dc.contributor.authorInitials Huijer, E
dc.contributor.authorInitials Karaki, SH
dc.contributor.authorInitials Malkoun, J
dc.contributor.authorReprintAddress Huijer, E (reprint author), Amer Univ Beirut, Dept Elect and Comp Engn, Beirut 11072020, Lebanon.
dc.contributor.authorUniversity American University of Beirut
dc.description.cited CHARI MVK, 1984, FINITE ELEMENTS ELEC; Cheng D. K., 1993, FUNDAMENTALS ENG ELE; HAFNER C, 1983, INT C COMPUTATION MA, V2, P1; Harrington R. F., 1968, FIELD COMPUTATIONS M; KUSTER N, 1989, P IEEE ANT PROP SOC, V1, P168; LUDWIG AC, 1991, COMPUT PHYS COMMUN, V68, P306, DOI 10.1016-0010-4655(91)90205-Y; Pan YCC, 2001, IEEE T MICROW THEORY, V49, P480, DOI 10.1109-22.910552; QISHUANG M, 1994, IEEE T MAGN, V30, P2920; Vekua I.N., 1967, NEW METHODS SOLVING; ZHENG QH, 2003, HIGH POWER LASER PRA, V16, P999
dc.description.citedCount 3
dc.description.citedTotWOSCount 0
dc.description.citedWOSCount 0
dc.format.extentCount 6
dc.identifier.coden ITPDE
dc.identifier.scopusID 33750623446
dc.publisher.address 445 HOES LANE, PISCATAWAY, NJ 08855 USA
dc.relation.ispartOfISOAbbr IEEE Trans. Power Deliv.
dc.relation.ispartOfIssue 4
dc.relation.ispartofPubTitle IEEE Transactions on Power Delivery
dc.relation.ispartofPubTitleAbbr IEEE Trans Power Delivery
dc.relation.ispartOfVolume 21
dc.source.ID WOS:000241049900042
dc.type.publication Journal
dc.subject.otherAuthKeyword Electric parameters of cables
dc.subject.otherAuthKeyword Electrostatic field calculation
dc.subject.otherAuthKeyword Harmonic functions
dc.subject.otherAuthKeyword Laplace's equation
dc.subject.otherAuthKeyword Multiple multipole method
dc.subject.otherIndex Boundary conditions
dc.subject.otherIndex Capacitance
dc.subject.otherIndex Electric conductors
dc.subject.otherIndex Electrostatics
dc.subject.otherIndex Laplace transforms
dc.subject.otherIndex Partial differential equations
dc.subject.otherIndex Poles and zeros
dc.subject.otherIndex Electrostatic potential
dc.subject.otherIndex Harmonic functions
dc.subject.otherIndex Multiple multipole method
dc.subject.otherIndex Cable shielding
dc.subject.otherWOS Engineering, Electrical and Electronic

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