电气电子教学学报
電氣電子教學學報
전기전자교학학보
JOURNAL OF ELECTRICAL & ELECTRONIC ENGINEERING EDUCATION
2015年
3期
71-73
,共3页
平行双导线%电感%内电感%磁场能量
平行雙導線%電感%內電感%磁場能量
평행쌍도선%전감%내전감%자장능량
parallel two-conductor line%inductance%inner inductance%magnetic field energy
一对平行的圆截面导线所组成的传输线是双导体传输线的典型代表,其单位长度电感参数包括内电感和外电感两部分。在高频情况下,由于集肤效应,内电感通常可以忽略。然而,在低频情况下,特别是导线相距较近时,需要考虑内电感的影响。目前,一般简单认为内电感是单根导线内电感(μ0/8π)的两倍。本文基于磁场能量得出了该传输线单位长度电感在静态情况下的精确表达式,结果表明,内电感并不直接等于单根导线内电感的2倍,而是比之略大。
一對平行的圓截麵導線所組成的傳輸線是雙導體傳輸線的典型代錶,其單位長度電感參數包括內電感和外電感兩部分。在高頻情況下,由于集膚效應,內電感通常可以忽略。然而,在低頻情況下,特彆是導線相距較近時,需要攷慮內電感的影響。目前,一般簡單認為內電感是單根導線內電感(μ0/8π)的兩倍。本文基于磁場能量得齣瞭該傳輸線單位長度電感在靜態情況下的精確錶達式,結果錶明,內電感併不直接等于單根導線內電感的2倍,而是比之略大。
일대평행적원절면도선소조성적전수선시쌍도체전수선적전형대표,기단위장도전감삼수포괄내전감화외전감량부분。재고빈정황하,유우집부효응,내전감통상가이홀략。연이,재저빈정황하,특별시도선상거교근시,수요고필내전감적영향。목전,일반간단인위내전감시단근도선내전감(μ0/8π)적량배。본문기우자장능량득출료해전수선단위장도전감재정태정황하적정학표체식,결과표명,내전감병불직접등우단근도선내전감적2배,이시비지략대。
A pair of parallel conductor wires with circular cross section denotes a classic case of two-conductor transmission lines. Its per unit length inductance consists of inner inductance and external inductance. At high frequencies when the skin effect becomes obvious,the inner inductance is very small and may be neglected. However,at low frequencies,especially when the two wires are close to each other,the influence of inner induct-ance increases compared with the external inductance and should be included in the total inductance. At present, the inner inductance is usually calculated simply as the two times of the inner inductance of a single wire(μ0 /8π). In this paper,the accurate expression for the static per unit length inductance of the transmission line is derived by using the magnetic field energy method. The result shows that it is a little larger than the common value.