Numerical Optimization Method for Determination of Bifurcation Points and its Application in Stability Analysis of Power System

2019 ◽  
Vol 17 (02) ◽  
pp. 1850126
Author(s):  
Junqiang Wei

Nonlinear bifurcation theory is very powerful and efficient to deal with multifarious nonlinear phenomena emerging from physics, biology, engineering, and economics. However, the execution of augmented system for bifurcation points will be very complicated for a system with too many variables. The purpose of this paper is to give a new optimization based method for computation of fold and Hopf bifurcation points and discuss their applications in stability analysis of power system. The validity of the proposed method has been testified by a WSCC9-bus power system in which the load increment at any bus was taken as a parameter.




Author(s):  
Yeming Yao ◽  
Hua Zhou ◽  
Yinglong Chen ◽  
Huayong Yang

Counterbalance valves are widely used in hydraulic deck machinery to balance the overrunning loads. However, as is well known, counterbalance circuit designed with poor choice of counterbalance valve tends to introduce instability to the system. This paper investigates the dynamic behavior of a pilot operated counterbalance valve which can operate at a flow rate about 2000L/min. A linearized stability analysis of such a hydraulic circuit which consists of a slip in cartridge, a pilot counterbalance valve and a hydraulic winch is presented. Pole-zero plots are employed to reveal the effect of the volume of control cavity, the hydraulic resistance on pilot line and counterbalance valve pilot area ratio on the stability of the system. The analysis results indicate that such a system will be unstable within the normal range of each parameter. An alternative approach that guarantees system stability by adding an accumulator on the pilot line is put forward. The approach stabilizes the pilot pressure by reducing the hydro-stiffness of pilot control cavity, thus the system can reach its stability condition. Finally, a numerical optimization method is putted forward, with the optimized parameters, the dynamic performance of considered system become better.



2013 ◽  
Vol 339 ◽  
pp. 545-549
Author(s):  
Xue Song Zhou ◽  
Huan Liang ◽  
You Jie Ma

Power system voltage stability is one of research hotpots in the field of electric power engineering. Firstly, the application of bifurcation theory in power system analysis is introduced. Secondly, static index which is used frequently in power system analysis is given and the characteristics of every index are clarified in detail. Last, it introduces the analytical methods of dynamic voltage and makes prospect about the voltage stability analysis.



Author(s):  
Shiyun Xu ◽  
Huadong Sun ◽  
Shihui Fang ◽  
Jingtian Bi ◽  
Jun Yi ◽  
...  


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