Multiparameter bifurcation analysis of the South Brazilian Power System

Lerm, A.A.P.; Cañizares, Claudio A.; Silva, A. Silveira e

doi:10.1109/tpwrs.2003.811195

Cited by 43 publications

(4 citation statements)

References 13 publications

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“…In this situation, at least one of the eigenvalues of the Jacobian matrix will become zero and these eigenvalues will change the sign that causes dynamic voltage unstability in power system. [29][30][31] It is a well-known fact that Flexible Alternating Current Transmission System (FACTS) devices can be used to provide reactive power compensation. Although there are many types of FACTS devices, each of them has its own characteristics.…”

Section: The Mathematical Model Of Voltage Stability Studiesmentioning

confidence: 99%

Improving the wind penetration level of the power systems connected to doubly fed induction generator wind farms considering voltage stability constraints

Kamarposhti

Mozafari

Soleymani

et al. 2015

Journal of Renewable and Sustainable Energy

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Improving the voltage stability in power systems is one of the most important discussions in planning and operation. Voltage stability relies on network configuration, the amount of reactive power, and the setting of reactive power compensating devices. The strong voltage stability of the wind injection buses was enhanced by inserting wind generation and thus increasing the wind penetration level in them. The power system and wind generation area have been influenced by placing new generation at these buses. The proposed method presents a suitable solution to identify the weak points of the system for each wind penetration level. The proposed method uses an index of maximum loading factor and mega watt margin in order to determine the size and the location of wind farms. This study also shows that the location of static VAR compensator has even a vital role in increasing the loading level and megawatt margin of the system. Simulations have been done in the IEEE 14-bus test system using Matlab and PSAT software.

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Section: The Mathematical Model Of Voltage Stability Studiesmentioning

confidence: 99%

Improving the wind penetration level of the power systems connected to doubly fed induction generator wind farms considering voltage stability constraints

Kamarposhti

Mozafari

Soleymani

et al. 2015

Journal of Renewable and Sustainable Energy

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“…>'mm<>'<>'max (12) By incorporating a SVC controller into the presented power system the following model structure (shown in Figure 14) is achieved. The curve code is as before.…”

Section: Case B: Influence Of Facts-devices On Power Systemsmentioning

confidence: 99%

Bifurcation analysis of power system load characteristics with continuation methods

Fette¹,

Winzenick²

2005

Mathematical and Computer Modelling of Dynamical Systems

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Power systems are capable of exhibiting complex dynamics. Sometimes critical ones are. e.g. nonlinear incidents like collapse and swing phenomena. Many efTorts are made by researchers and operators in order to prevent and dominate these undesirable effects. Il is well known that parameter variations have influences on the system behavior and its stabilily. Sometimes they can cause incidents like the ones mentioned above. Because of former studies (e.g. in the field of catastrophe theory) it is also known that very often only a few parameters dominate the system behavior. An identitication of these main parameters is desirable in order to get more information about the underlying mechanisms. On this basis an improvement or developement of adequate strategies in order to prevent critical system slates is possible.Limit induced problems due to parameter variations as well as effects of generator controls on the system have been investigated in several papers. This paper neglects the limit induced problems and considers influences of different load characteristics on the system behavior. Therefore, an appropriate load model is needed. It is desirable that the chosen model represents the physical behavior as well as influences of individual parameter.The presented analysis uses continuation methods and the concepts of bifurcation theory. Therewith an investigation due to parameter of interest is possible and furthermore properties of the solution points can be investigated and classified, too. Moreover, appropriate network models are needed. An often-used, three-node power system mode! is chosen here. It represents the main system behavior and the physical dependencies in principle. Additionally it is clearly arranged and easy to handle. This paper presents two major results. At first bifurcation-studies are made. These studies regard especially load parameter variations. In contrast to other solutions these results are transformed into so-called power diagrams. It is possible to use this well known representation to derive or adapt control schemes. Secondly, the usage of flexible AC transmission devices (FACTS) is analyzed m order to avoid critical bifurcations. Although this was studied in several papers before, this work analyzes again the influences of different load characteristics. As a result, one gets information about possible limits. In special cases gain -intervals of the used FACTS -device can be determined within the system is independent of load parameter variation.

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“…The current study of VCB mainly focuses on the changes of single parameter (or two-dimensional parameter [14], [15]) and the directions of node injection power are fixed. However, when the power injection changes in different directions the VCB is likely to reach, which means that the VCBs are different from each other.…”

Section: Introductionmentioning

confidence: 99%

Research of Power System Closest Voltage Collapse Boundary

Tao¹,

Wang²,

Sun³

et al. 2013

ElAEE

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The determination of power system voltage collapse boundary is very important to study voltage stability. The explicit expressions of power system voltage high and low voltage curves are obtained by solving the equations which are formed by the hybrid network equations and then get the characteristic equations of the voltage collapse boundary. For analyzing the closest boundary by the characteristic equations we define the one-node voltage collapse boundary and all-node voltage collapse boundary. The closest stability boundary of the power system has been found out by comparing the active power index. Because the Jacobian matrix is singular near the voltage collapse boundary the dimensionality reduced algorithm is proposed. This method can get the value of voltage collapse boundary effectively. The simulations show that the concepts and methods presented in this paper are correct.

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Multiparameter bifurcation analysis of the South Brazilian Power System

Cited by 43 publications

References 13 publications

Improving the wind penetration level of the power systems connected to doubly fed induction generator wind farms considering voltage stability constraints

Improving the wind penetration level of the power systems connected to doubly fed induction generator wind farms considering voltage stability constraints

Bifurcation analysis of power system load characteristics with continuation methods

Research of Power System Closest Voltage Collapse Boundary

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