Abstract
This paper studies series-parallel electrical or mechanical networks using the recently introduced concept of regular positive-real functions. Previous work showed that series-parallel five-element networks with two reactive elements are always regular and that six such networks can realise all regular biquadratic immittances. In this paper we consider five- and six-element networks with three reactive elements. We describe a classification procedure to find an efficient subset of such networks which may realise any non-regular biquadratic that can be synthesised by this class of networks.
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Jiang, J.Z., Smith, M.C. (2010). Regular Positive-Real Functions and the Classification of Transformerless Series-Parallel Networks. In: Willems, J.C., Hara, S., Ohta, Y., Fujioka, H. (eds) Perspectives in Mathematical System Theory, Control, and Signal Processing. Lecture Notes in Control and Information Sciences, vol 398. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-93918-4_2
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DOI: https://doi.org/10.1007/978-3-540-93918-4_2
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