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A Criterion on Existence and Uniqueness of Behavior in Electric Circuit Takuya Hirata; Eko Setiawan; Kazuya Yamaguchi; Ichijo Hodaka
International Journal of Electrical and Computer Engineering (IJECE) Vol 6, No 4: August 2016
Publisher : Institute of Advanced Engineering and Science

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (632.743 KB) | DOI: 10.11591/ijece.v6i4.pp1529-1533

Abstract

Behavior of electric circuits can be observed by solving circuit equations symbolically as well as numerically. In general, symbolic computation for circuits with certain number of circuit elements needs much more time than numerical computation. It is reasonable to check the existence and uniqueness of the solution to circuit equations beforehand in order to avoid computation for the case of no solution. Indeed, some circuits have no solution; in that case, one should notice it and avoid to wait meaningless computation. This paper proposes a new theorem to check whether given circuit equations have a solution and their voltages and currents of all circuit elements are uniquely determined or not. The theorem is suitable for developing a computer algorithm and helps quick symbolic computation for electric circuits.
A Novel Nonlinear Control of Boost Converter using CCM Phase Plane Eko Setiawan; Ichijo Hodaka
International Journal of Electrical and Computer Engineering (IJECE) Vol 8, No 6: December 2018
Publisher : Institute of Advanced Engineering and Science

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (1316.243 KB) | DOI: 10.11591/ijece.v8i6.pp4282-4291

Abstract

Boost converter is one of fundamental DC-DC converters and used to deliver electric power with boosted voltage in many electrical systems. Several control strategies have been applied to control a boost converter delivering a constant output voltage. Generally, boost converter works in two modes; one is called a Continuous Conduction Mode (CCM). Many researches use CCM model in the controller design, but they never ensure that the controller always works in CCM. This paper proposes novel nonlinear controller of boost converter designed using the modification of flow in phase plane. The proposed controller guarantees that the boost converter works only in CCM region. The simulation result confirms that our proposed controller brings the state variables from any initial point to a desired operating point successfully.