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bull bull

middotIu~o~ 19694J4

cpopucfV t~(OU)OtV T orcoia npOampPXampTflt tIC t~V t~laroaEwv u )il Maxwell

1 Ir t)= a~lr I I (211)V Ie ill

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1 (r t) + I a (1 11 _ middot( 11 (112) cJ l~ r Dr if ( t

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tlOIJt 1 ~ ltp6 toV Xpovov l (Juvnpt l1ol r t~ A(r l) eCJl~ 6u dVUl i CSlo(rl) ) Ao(r L) K (ltOItL v f(IUOU + (21 2) CljIPUVU TflY llopcpiroJ

d1 r I t [ r ltI _ I I (213)drZ r dr - K l

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H 01UltpOP1KT] U(OfOO l~ (213) ~ ~iOOOatC Il esse l Sci htl TtlV YEVUCT]V AoolV

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9 (r l) = EKlkr) (214)

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Adpl) = ~ (t) lnp ~

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9 pS)=$ JI t

i-o l -- Inp (215)1

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i(I) = CK(k r (216)

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le (P)= f l(rs) ln Hmiddotrdr dltgt

lnR - lnr - 1 (P ) ( COSIll9 middot cosm6 +n sinmO)D - - m~ middot m III r

6 oJna 1 ]9IPB) - L -k- kdka) - To klka) (2171[

TlIK~ ~ ~I (p S ) Oil elvol TO 6Bpo~a T~ (21S) Kat (217)

iJ- 1 raJna 1 19 (p) 2~ np ot I - k - k l kOI-k (ta ) (2 1 8)

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nwgto g1 ~ ~( TE~ltK~ ~ mJvrrptT)ltT i(r 8) 1pil~ETa 1 bull k krlI Ibj== -- (219)

2bullbull k (ka)

AI(l Tli v rClpur lV ttJ t auVUprt1oE~ Jfr t) tCflap~(~~uy bi til (19) t6 6)o~~pIJ t oO Fouri Imiddot 61lt6

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L-[gi)J= holt) Kal L- [g Is) J = hlt)

onon Kata to 9EOOPTlJlO tOO Borel J- [ g()middotgIS) 1 f= h(r)h ltr)dr (211 1)

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L- [g() J = L- [ sIJ = 11~t

Kal y+Jeo

L- [g (5) J= 2 ~J Se k+ih-kc-r)~ ps = Sresidus k(k) -J ~

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to o)odiJpro~a (2110) fXEI tiJv fKcppaOlv

J ( r t )

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)llvlou jJt 6l01K1v oV1(OtOOIV g = 02810- 7 OM Kat )layvl1shytLICTl V OLa1tEpotOtftO )I = 4n middot 10-- n seem- i

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E~ lSlac fit avrottpoo Jtepllttroae~ 6 ()ttoAo)La~61 heveto 05ui ppoundi)1JCl AvtaOpoundrot I = lOOA Kal Kattl XPovLKf Pfl)JQta O5msee

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I Cars law H Tuc()e) J Operatlonal Method s in APplied Ma shy 6 Paerson R Tbe FIeld Induced by E dd y - Current In a Scm-shythemati cs Dove r 1963 Intlnlte Solid ProceedJngs or tb e IRE p 88 January 1962

2 DerusPapin Kallmann COUlS de Ca lcul Operatlonnal EdlLion 7 Sabonnadere J Method es nUTTi tr lqu es d lllYerslon de la transshyAlbin Micbel 1963 fOITTlation de Laplace R evu e Genra l de I E lec tricite p 201

F6vrler 191)73 McLachlan N Bessel Funetlons (or Engineers Ox rord 196 1

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Transient eddy current distribution in a cylindrical shell due to a current impulse BV E Klezl

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in the present paper we are considering the transient eddy current distribution in a cylindrical shell due to a current impumiddotise in a conductor located on the axis of the cylindrical shell The maximum calcu lated trans ient current density lor a given amplitude depends only upon the duration 01 the impulse The time in which the value of the curren t density decreases to one hundredth of its value at a given

instant is independen t of the time of the impuJse

Finally the maximum calculated value is les8 than that of the current density which has been calculated for the s teady state or the same a mplitude and of sinusoidal shape

The dis tribution or the current density depends upon the resistivity of the cond ucting material of the shell and the magnetic permeability which is assumed to be constant

bull Mecbanlcal-Electrl cal E ngIn eer Doctors degree of the Technical UnIversity o r Athens Gr adlLa t e o f Ma 1bem a t ic6 of Un [yersll y o f Tbell Balonllii EngIneer at lbe Publi c E lec tricIty En Lerprise