Three-Halves-Power Law Models for Actual Vacuum Tubes

Tsambos P. Three-Halves-Power Law Models for Actual Vacuum Tubes. J Audio Eng Soc. 2020;68(6):441-453. doi:10.17743/jaes.2020.0018

@article{Tsambos2020_20860,
  author = {Tsambos, Panayotis},
  title = {{Three-Halves-Power Law Models for Actual Vacuum Tubes}},
  journal = {Journal of the Audio Engineering Society},
  volume = {68},
  number = {6},
  pages = {441--453},
  year = {2020},
  month = jun,
  publisher = {Audio Engineering Society},
  doi = {10.17743/jaes.2020.0018},
  url = {https://doi.org/10.17743/jaes.2020.0018}
}

TY  - JOUR
TI  - Three-Halves-Power Law Models for Actual Vacuum Tubes
AU  - Tsambos, Panayotis
T2  - Journal of the Audio Engineering Society
J2  - J. Audio Eng. Soc.
VL  - 68
IS  - 6
SP  - 441
EP  - 453
PY  - 2020
DA  - 2020/06/06
DO  - 10.17743/jaes.2020.0018
UR  - https://doi.org/10.17743/jaes.2020.0018
PB  - Audio Engineering Society
LA  - en
AB  - Presented are two new equations for three-halves-power law vacuum tube models fitted to actual devices. First, an equation involving the vacuum tube’s electrode voltages used as the variable of a polynomial that is fitted to tube amplification factor characteristics is presented. Second, a current division equation that combines grid current calculation of existing empirical formulae and caters for screen grid current at low plate voltages, a situation not handled by these, is presented. Included is an exponential function to smooth the discontinuity in plate current due to the model’s conditional treatment of grid current when tube operation moves between negative and positive control grid regions, to aid computation of derivative based tube properties such as transconductance.
ER  -