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Noncompleteness of continuously equivalent networks

Noncompleteness of continuously equivalent networks

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© The Institution of Electrical Engineers
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The Howitt and Schoeffler theories provide the means of generating equivalent networks by a node-admittance-matrix transformation. It is shown that, although some Howitt transformations cannot be expressed in the Schoeffler form, the set of obtainable networks is, in most cases, the same for both methods.

Inspec keywords: equivalent circuits; matrix algebra; network topology

Other keywords: node admittance matrix; noncompleteness; Howitt transformations; Schoeffler form; equivalent networks; continuous

Subjects: Network topology

References

    1. 1)
      • N. Howitt . Group theory and the electric circuit. Phys. Rev. , 1583 - 1595
    2. 2)
      • R.W. Newcomb . (1966) , Linear multiport synthesis.
    3. 3)
      • G.R. Haak . On the non-completeness of continuously equivalent networks. IEEE Trans. , 207 - 208
    4. 4)
      • D.A. Calahan . (1963) , Modern network synthesis—Vol. 2.
    5. 5)
      • Schoeffler, J.D.: `Continuously equivalent networks and their applications', 5, Case Institure of Technology report, 1962.
    6. 6)
      • B.M.G. Cheetham , K.G. Nichols . Restrictions on equivalent network transformations imposed by the continuous method. Electron. Lett. , 101 - 102
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