File:Voltages induced upon telephone lines near three phase transmission lines (1917) (14569680339).jpg

Identifier: voltagesinducedu00hump (find matches)
Title: Voltages induced upon telephone lines near three phase transmission lines
Year: 1917 (1910s)
Authors: Humphrey, Herbert Kay
Subjects: Telephone lines Electric lines Telecommunication lines Electromotive force Theses
Publisher:
Contributing Library: University of Illinois Urbana-Champaign
Digitizing Sponsor: University of Illinois Urbana-Champaign

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are in the first column. At the left of this determinant of thesystem appear opposite each line the unknown of which the terms ofthat line are coefficients. Above the determinant are indicatedthe various relations from which each equation (vertical rows areequations) is obtained. Below each column appears the right handmember of the equation of which that row is left hand member. Tofind the value of any flux, for instance Vr2 this lower row, (righthand members) must be substituted for the row opposite that flux,i^2> an(? ^e new determinant thus formed divided by the originaldeterminant (of the system). To illustrate, in solving forthe row 0 E sinurt, E sin( uut+120°) 0 0 0 0 would be substituted for . . r2 AB n G B 2h2 _ FB , GB . SB , T fB 1 logfst^r-^r log—r—• • lo^-— log-— log log-— ^h2 A B UCTB r2 tEB T) B SB 1 B in the dividend determinant. An exactly similar set of determinants for the case where wireA is grounded appears on page 17. It differs from that on pag

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