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The operational stability of synchronous generator-rectification system is studied: all variables of the system and their correlations are analyzed in detailed under mini-disturbances, and the linear differential equation about the DC-side average current is derived. The stability criterion of the rectification system is conducted and reasonably explained. All parameters that have influences on system's...
This paper presents a theory of parallel quadrature voltage-controlled oscillators, which are widely used to generate in-phase and quadrature signals in communication systems. The theory is developed without making any hypothesis on the circuit topology and allows us to thoroughly analyze the synchronized oscillations, as well as the effect of unavoidable parameter mismatches, by means of closed-form...
The generalized Adler's equation for multiple node injection is utilized to analyze and understand the operation of coupled oscillators. We will show how to derive a set of differential equations to describe dynamics of any coupled oscillator and utilize them to discover possible oscillation modes and their stability. The analysis approach is quite generic and straightforwardly can be applied to almost...
By applying basic geometrical rules we analyze an LC quadrature oscillator. Various oscillation modes and their stabilities are investigated and impacts of mismatches on the quadrature accuracy are calculated.
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