Perveance of cubic circuit containing Child-Langmuir diods in its edges

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Abstract

A non-linear electric circuit in a cube-like form is studied. Similar Child–Langmuir diodes are connected in its edges. The procedure of the circuit decomposition by the method of equivalent nodes is carried out. As a result, an exact formula of the general circuit purveyance was derived. The formula can be used to estimate volt-ampere characteristic (VAC) of tetragonal networks with cubic elementary cells containing Child–Langmuir diodes.

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About the authors

A. E. Dubinov

Russian Federal Nuclear Center All-Russian Research Institute of Experimental Physics; National Research Nuclear University Moscow Engineering Physics Institute (MEPhI)

Author for correspondence.
Email: dubinov-ae@yandex.ru

National Research Nuclear University Moscow Engineering Physics Institute (MEPhI), Sarov Physicotechnical Institute

Russian Federation, Prosp. Mira, 37, Sarov, Nizhny Novgorod oblast, 607188; Str. Dukhova, 6, Sarov, Nizhny Novgorod oblast, 607189

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Supplementary files

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2. Fig. 1. Schematic diagram of a cubic circuit with CL diodes in the edges: A, B… H ‒ designations of circuit nodes, 1…12 – numbering of CL diodes, arrows show the direction of current.

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3. Fig. 2. Schemes of parallel (a) and serial (b) connection of sections of a circuit with three CL diodes: 1…3 – CL diodes with perveances P1, 2, 3; Ux1, Ux2, U0 – node potentials.

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4. Fig. 3. The diagram is the result of decomposition of a cubic circuit: I…III are chain fragments; A, B… H are chain nodes, 1…12 are CL diodes (the original diagram is in Fig. 1).

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