Estimation of the Method for Calculating the Inductance of a Conductor in an LSI Packages

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  • LSIパッケージにおける配線導体のインダクタンス計算方法の評価
  • LSI パッケージ ニ オケル ハイセン ドウタイ ノ インダクタンス ケイサ
  • LSIパッケージにおける配線導体のインダクタンス計算方法の評価 (<特集>パワーマグネティックス)

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Abstract

This paper presents the method for calculating the external self-inductance Le, the internal self-inductance Li and the mutual inductance M of a conductor in LSI packages, and the estimation of those methods.<br>A straight conductor with a cross-section of 5 × 60 μm is divided into between 48 and 19,200 straight segments. The inductances Le, Li, and M can be calculated by the electrical formulas, since all segments are in parallel. The accuracy of the calculation is about 0.2% at Le when the conductor is divided into 300 segments, and about 5.5% at Li when the conductor is divided into 19,200 segments.<br>Li is decreased from 132 to 36 pH by the skin effect when the frequency is increased from 0.1 to 1.9 GHz.<br>The inductance L, of a specimen with a micro-strip line is calculated and measured. The difference between the calculated and measured values is less than 17% in the frequency range from 1 to 10 MHz.

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