Bifurcation, chaos, and voltage collapse in power systems

Chin-Woo Tan; Varghese M.

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Bifurcation, chaos, and voltage collapse in power systems

机译：电力系统中的分叉，混乱和电压崩溃

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A model of a power system with load dynamics is studied by investigating qualitative changes in its behavior as the reactive power demand at a load bus is increased. In addition to the saddle node bilification often associated with voltage collapse, the power system exhibits sub- and supercritical Hopf bifurcations, cyclic fold bifurcation, and period doubling bifurcation. Cascades of period doubling bifurcation terminate in chaotic invariant sets. The presence of these new bifurcations motivates a reexamination of the saddle-node bifurcation as the boundary of the feasible set of power injections.

机译：通过研究随着负载总线上无功功率需求的增加，其行为发生质的变化，研究了具有负载动力学的电力系统模型。除了经常与电压崩溃相关的鞍形节点开裂之外，电力系统还表现出亚临界和超临界霍夫夫分叉，循环折叠分叉和周期加倍分叉。倍增周期分叉的级联终止于混沌不变集。这些新的分叉的存在促使重新审视鞍形节点分叉，将其作为可行的动力注入装置的边界。

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来源
《Proceedings of the IEEE》 |1995年第11期|P.1484-1496|共13页
作者
Chin-Woo Tan; Varghese M.;
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作者单位

GeoStar Technol. Inc., Santa Clara, CA;

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原文格式 PDF
正文语种 eng
中图分类一般性问题;无线电电子学、电信技术;
关键词
bifurcation; chaos; load (electric); power system stability; reactive power; chaotic invariant sets; cyclic fold bifurcation; load bus; load dynamics; modelling; period doubling bifurcation; power injections; power systems; reactive power demand; saddle node bilification; subcritical Hopf bifurcations; supercritical Hopf bifurcations; voltage collapse;

机译：分叉;混沌;负载（电力）;电力系统稳定性;无功;混沌不变集;循环折叠分叉;负载母线;负载动力学;建模;周期加倍分叉;电力注入;电力系统;无功需求;附加节点开合;亚临界霍夫夫分叉;超临界霍夫夫分叉;电压崩溃;

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2. Bifurcations, chaos, and crises in voltage collapse of a modelpower system [J] . Wang H.O., Abed E.H., Hamdan A.M.A. IEEE Transactions on Circuits and Systems. I, Regular Papers . 1994,第4期

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8. Control of Bifurcations and Routes to Chaos in Dynamical Systems. [R] . Wang, H. 1993

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Bifurcation, chaos, and voltage collapse in power systems

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