Accelerating the solving of nonlinear equations using the homotopy method:   application on finding the operating point of complex circuits

FATHI DHIABI; MOHAMED BOUMEHRAZ

Makale detayları

Accelerating the solving of nonlinear equations using the homotopy method: application on finding the operating point of complex circuits

Yazarlar:

FATHI DHIABI | MOHAMED BOUMEHRAZ

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Electrical Engineering and Computer Science 2017 Vol.25 Issue 3, pp.1864-1880

Belge Tipi:

Makale

Yayın Tarihi:

5/2017

Belge Dili:

Türkçe

Document ID (Org No.):

2000736377

Sıklık:

İki Aylık

eISSN:

1303-6203

pISSN:

1300-0632

Özet:

 

Analog circuits with nonlinear elements (e.g., diode,   BJT, and CMOS) and integrated circuits are very complex systems. As a result,   they are very difficult to analyze because of the need to generate a   nonlinear equation system solution in order to do so. Solving nonlinear   equations is still a challenging problem. Iterative methods, however, are   frequently used to solve them. This paper describes a method that can be   used to both accelerate the solving of nonlinear equations and find the   operating point in various integrated circuits by construction of the global   homotopy equation of the analog circuit. This is done by converting the   elements in the circuit to their equivalent dependent sources. The proposed   method is based on three steps. The first step is the use of the homotopy   method to get a continuous function. The second step consists of finding the   best direction of the solution by applying prediction and the correction   procedures. The third step consists of the control of step size to   accelerate the solution search. In order to demonstrate the effectiveness of   the proposed method, a new type of software called PyAMS (Python Language   for Analog and Mixed Signal) was created by the authors based on the   proposed method. A comparison was done between the proposed method and two   other methods and, in doing so, many types of integrated circuits were used.   Based on the proposed method, an analysis of many universal circuits was   carried out to verify the correct function of the circuit.

Makale detayları

Accelerating the solving of nonlinear equations using the homotopy method: application on finding the operating point of complex circuits

Yazarlar: FATHI DHIABI | MOHAMED BOUMEHRAZ

Yayıncı: TUBITAK

Dergi: Turkish Journal of Electrical Engineering and Computer Science 2017 Vol.25 Issue 3, pp.1864-1880

Belge Tipi: Makale

Yayın Tarihi: 5/2017

Belge Dili: Türkçe

Document ID (Org No.): 2000736377

Sıklık: İki Aylık

eISSN: 1303-6203

pISSN: 1300-0632

Sayı

Yazarlar:

FATHI DHIABI | MOHAMED BOUMEHRAZ

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Electrical Engineering and Computer Science 2017 Vol.25 Issue 3, pp.1864-1880

Belge Tipi:

Makale

Yayın Tarihi:

5/2017

Belge Dili:

Türkçe

Document ID (Org No.):

2000736377

Sıklık:

İki Aylık

eISSN:

1303-6203

pISSN:

1300-0632