A general transformation with applications to circuit theory

✍ Scribed by M.A. Murray-Lasso

• Publisher: Elsevier Science
• Year: 1968
• Tongue: English
• Weight: 749 KB
• Volume: 285
• Category: Article
• ISSN: 0016-0032
• DOI: 10.1016/0016-0032(68)90087-2

✦ Synopsis

A general functional transformation is introduced and sonae applications to circuit theory are given. The transformation is most useful in the area of active, nonbilateral circuits. This functional transformation introduces new voltages and currents which are linear combinations of the original voltages and currents plus their derivatives, integrals or more complicated implicit integrodi#mntial relationships. The transformation applied to the currents may be completely unconnected to the transformation applied to the voltages. The ban~formation may be used for obtaining equivalmt circuits of home driving point impedame. Another possibility is obt&ing equivalent circuits of some transfer impedance but with different driving point impedances. The transformation handles with equal ea.% bilateral and non-bilateral circuits as well as circuits containing controlled souvxs. It may also handle circuits containing non-real elements. Simple numerical examples are given in active, non-bilateral, and passive synthesis, as well a8 in analysis.