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Effect of Time Lag in Response to Switching Signal in Interrupted Electric Circuit

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Abstract

In this study, we analyze the characteristics of an interrupted electric circuit. In particular, we focus on a special situation where the switching action of the circuit is delayed because of a time lag in the response to the switching signal. This situation is observed in switching circuits driven by a high-frequency switching signal. However, the fundamental characteristics of this type of circuit have not yet been clarified. To address this shortfall, we assume that a time lag of the response to the switching signal occurs in simple interrupted electric circuits, and investigate how this time lag affects circuit characteristics. First, we show the model of a circuit whose switching action is the same as that of a current-mode-controlled dc/dc converter. Here by using logic circuits, we impose an artificial time lag on the response to the switching signal. Next, we define a sampled data model (i.e., a return map) that we analyze in detail. Based on the return map, we derive one- and two-parameter bifurcation diagrams. Finally, we compare the bifurcation diagrams constructed with time lag to those constructed without time lag. The results clearly show that time lag is responsible for a new structure in the return map that does not occur in circuits with ideal switching. This new return map structure is a key to understanding the essential characteristics of circuits with time lag. Furthermore, the mathematical results are verified experimentally.

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Acknowledgments

We gratefully acknowledge Professor S. Banerjee, Professor T. Saito, and Professor T. Ueta for their fruitful suggestions and comments.

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Authors and Affiliations

  1. Department of Engineering, Oita University, 700 Dannoharu, Oita, 870-1192, Japan

    Yutaka Izumi, Yusuke Tone & Takuji Kousaka

  2. Department of Engineering, Fukuoka University, 19-1, Nanakuma 8, Jonan-ku, Fukuoka, 814-0180, Japan

    Hiroyuki Asahara & Hirokazu Matsumoto

Authors
  1. Hiroyuki Asahara
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  2. Yutaka Izumi
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  3. Yusuke Tone
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  4. Hirokazu Matsumoto
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  5. Takuji Kousaka
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Correspondence to Takuji Kousaka.

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Asahara, H., Izumi, Y., Tone, Y. et al. Effect of Time Lag in Response to Switching Signal in Interrupted Electric Circuit. Circuits Syst Signal Process 33, 2695–2707 (2014). https://doi.org/10.1007/s00034-014-9780-y

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