An Integral Method for Determining Induced Voltage in Time-Varying Wire Inductors

Fasenfest, B ; White, D ; Rockway, J

Lawrence Livermore National Laboratory

关键词: 42 Engineering;    Lawrence Livermore National Laboratory;    Solenoids;    Inductance;   

DOI  :  10.2172/15016594
RP-ID  :  UCRL-TR-212726
RP-ID  :  W-7405-ENG-48
RP-ID  :  15016594

美国|英语

来源: UNT Digital Library

【 摘 要 】

This report documents the creation of software tools to model time-varying wire inductors. The class of inductors studied consists of arbitrary wire shapes in nonmagnetic material. When the wire structures are deformed, the inductance changes, and a voltage is induced. This voltage is of interest, for instance when the inductor is used to measure or sense a shockwave. An integral technique, which only requires integrating over the wire segments, is used to find the inductance at each time step, with backwards-difference approximations being used on successive time steps to determine the voltage. This method allows for arbitrary time-varying wire structures. It was tested for several canonical problems and used to model a double helix solenoid compressed by a shockwave.