Loop Inductance & Partial Inductance

Posted on Edited on In

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currents in OPPOSITE direction currents in SAME direction
self partial inductance +
mutual partial inductance - +

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loop inductance

由法拉第定律所導出的total loop inductance是迴路整體的效應，沒辦法區分出電源與地路徑上各別的電感，即難以分析 電感對power bounce或ground bounce分別的影響，所以有了partial inductance的定義

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partial inductance

The first problem with using loop inductance to model the conductors of a loop is that at different frequencies, the return path

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reference

Paul, Clayton R. Inductance: Loop and Partial. Hoboken, N.J. : [Piscataway, N.J.]: Wiley ; IEEE, 2010.

Spartaco Caniggia. Signal Integrity and Radiated Emission of High‐Speed Digital Systems. Wiley 2008

Clayton R. Paul, Partial Inductance [https://ewh.ieee.org/soc/emcs/acstrial/newsletters/summer10/PP_PartialInductance.pdf]

Yuriy Shlepnev. How Interconnects Work: Characteristic Impedance and Reflections [https://www.linkedin.com/pulse/how-interconnects-work-characteristic-impedance-yuriy-shlepnev/]

-. How Interconnects Work: Bandwidth for Modeling and Measurements [https://www.linkedin.com/pulse/how-interconnects-work-bandwidth-modeling-yuriy-shlepnev/?trackingId=874kpm3XuNyV9D0eP6IioA%3D%3D]

Eric Bogatin. Pop Quiz: When is an Interconnect Not a Transmission Line? [https://www.signalintegrityjournal.com/blogs/4-eric-bogatin-signal-integrity-journal-technical-editor/post/265-pop-quiz-when-is-an-interconnect-not-a-transmission-line]

TeledyneLeCroy/SignalIntegrity Python tools for signal integrity applications [SignalIntegrityApp]

A Look at Transmission-Line Losses [http://blog.teledynelecroy.com/2018/06/a-look-at-transmission-line-losses.html]

How Much Transmission-Line Loss is Too Much? [http://blog.teledynelecroy.com/2018/06/how-much-transmission-line-loss-is-too.html]

Y. Massoud and Y. Ismail, "Gasping the impact of on-chip inductance," in IEEE Circuits and Devices Magazine, vol. 17, no. 4, pp. 14-21, July 2001

Randy Wolff. Signal Loop Inductance in [Pin] and [Package Model] [https://ibis.org/summits/feb10/wolff.pdf]

Raymond Y. Chen, Raymond Y. Chen. Fundamentals of S Fundamentals of S-Parameter Parameter Modeling for Power Distribution Modeling for Power Distribution System (PDS) and SSO Analysis System (PDS) and SSO Analysis [https://ibis.org/summits/jun05/chen.pdf]

ANSYS Q3D Getting Started LE05. Module 5: Q3D Inductance Matrix Reduction [https://innovationspace.ansys.com/courses/wp-content/uploads/sites/5/2021/07/Q3D_GS_2020R1_EN_LE05_Ind_Matrix.pdf]