A Nonlinear Systems Theory Approach to Assessment of Fault Vulnerability in Power Systems

2020 ◽  
Author(s):  
Michael Fisher
Keyword(s):  
Nonlinear Systems ◽  
Power Systems ◽  
Systems Theory ◽  
Theory Approach

scholarly journals Saleh’s Model of AM/AM and AM/PM Conversions is not a Model without Memory – Another Proof

2017 ◽  
Vol 63 (1) ◽  
pp. 73-77
Author(s):  
Andrzej Borys
Keyword(s):  
Nonlinear Systems ◽  
Systems Theory ◽  
Power Amplifiers ◽  
Nonlinear Operator ◽  
Common View ◽  
Baseband Signal ◽  
Equivalent Description

Abstract The so-called Saleh’s representation for description of the AM/AM and AM/PM conversions, occurring in communication power amplifiers, consists of two expressions that describe them as functions of a real-valued baseband signal modulating the carrier amplitude. It is a common view that this description forms a model without memory. We show here that the above belief is not correct; just the opposite is true. To prove this, we take into account an equivalent description of the Saleh’s model called the quadrature model of bandpass nonlinearities and express it in a form of a nonlinear operator. Afterwards, we check whether this operator possesses a zero memory. To this end, we use an appropriate theorem of the nonlinear systems theory. Finally, as a result of this investigation, we observe that the memory of the above operator is nonzero.

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