Mathematics model and numerical calculation for stability of synchronous generator rectification systems

Abstract

Purpose

In order to research the law of the low‐frequency power oscillation which often exists in the synchronous generator rectification system, the purpose of this paper is to study theoretical analysis and numerical calculation on the static stability of the system.

Design/methodology/approach

Different from the common three‐phase synchronous generator operating in large power networks, the stability of synchronous generator rectification systems is much more difficult to analyze because of its nonlinear loads. Some papers have analyzed the stability of the synchronous generator rectification system and presented different parameter conditions of system stability, but since factors that influence the system stability are complex, the essence of this kind of oscillation is not completely known yet. By considering rectification systems as an equivalent to DC circuits, the correct circuit model which is necessary to analyze the rectification systemic stability is set up, the changing law and relationship of various parameters under mini‐disturbances is analyzed, a linear differential equation about the DC‐side average current is derived, the stability of the synchronous generator rectification system is analyzed and deduced by using Hull criterion, all parameters influencing system stability are calculated and analyzed, and their ranges for a stable rectification system are given. Also, the reason why and how the parameters affect system stability is explained.

Findings

The operational stability of synchronous generator rectification systems is completely and correctly recognized.

Practical implications

The paper has a reference value for the design and safe operation of synchronous generator rectification systems.

Originality/value

The paper puts forward system stability criterion and gives a rational physical explanation about system stability.

Citation

Li, H., Lai, Y., Qiang, W. and Dong, X. (2011), "Mathematics model and numerical calculation for stability of synchronous generator rectification systems", Kybernetes, Vol. 40 No. 5/6, pp. 894-904. https://doi.org/10.1108/03684921111142449