Research on the relationship of the singular point for load flow jacobian matrix and the critical point of voltage collapse

Zhang, Dalin; Huang, W.; Liu, Zhaowei; Yang, Jingming; Cai, Xin; Zhang, J.H.

doi:10.1109/pes.2005.1489444

Cited by 9 publications

(10 citation statements)

References 5 publications

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“…In recent years, several research works have discussed about the boundaries of voltage stability feasible region [3,5,[24][25][26]. In References [3,26,27], HB point is considered as the boundary of dynamic voltage stability, which is also adopted in this paper.…”

Section: The Problem Descriptionmentioning

confidence: 99%

“…On the other hand, voltage instability is a dynamic phenomenon under large or small disturbance. So, some boundaries of small disturbance voltage stability feasible region, such as Hopf bifurcation (HB), cannot be correctly analyzed by the static analysis methods [3,5]. A discussion about inefficiency of static analysis methods to correctly evaluate small disturbance voltage stability problem is presented in References [3,6].…”

Section: Introductionmentioning

confidence: 99%

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Dynamic voltage stability prediction of power systems by a new feature selection technique and probabilistic neural network

Amjady

Velayati

2010

Euro. Trans. Electr. Power

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SUMMARYWith continued increase in the electrical energy demand and tendency towards maximizing economic benefits in power transmission system, especially in the liberalized electricity markets, real-time voltage security analysis has become a growing concern in electric power utilities. However, static analysis methods, such as power flow based methods, have difficulty in evaluating voltage stability and some voltage stability feasible region boundaries may not be correctly analyzed by these methods due to the use of simple models for the system components. On the other hand, dynamic modeling and evaluation of voltage stability are complex, expensive, and time consuming. In this paper, a new feature selection technique combined with a probabilistic neural network (PNN) is proposed for this purpose. A major difference of our paper with the previous research works in the area is that this paper proposes voltage stability prediction, while the previous works usually focus on the voltage stability evaluation. The proposed dynamic voltage stability prediction method is examined on the IEEE 14-bus and New England 39-bus test systems and the effectiveness of the proposed method is demonstrated. Also, the effect of different load models, branch contingencies, and generator contingencies is evaluated. Another advantage of the proposed prediction method is that it can be used for varied topologies and configurations of the power system.

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Section: The Problem Descriptionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Dynamic voltage stability prediction of power systems by a new feature selection technique and probabilistic neural network

Amjady

Velayati

2010

Euro. Trans. Electr. Power

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“…For example, the maximum load flow condition which corresponds to the singular point of the Jacobian matrix As the static analysis method does not take the dynamics of the components in power system into account, the creditability of the results obtained are more or less affected. Therefore, analysis methods which take the dynamics of the components in the network into account, such as small signal analysis [5,6] and bifurcation analysis method [7], are introduced in power system voltage stability analysis. Using small signal analysis method, reference [5] studied the relationship of the Jacobian matrix singularity point and the voltage collapse point.…”

Section: Introductionmentioning

confidence: 99%

Power System Dynamic Stability Analysis and Stability Type Discrimination

Cheng

Wen

2006

2006 International Conference on Power System Technology

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In the static voltage stability analysis, the dynamics of the components in the power system are not considered and the creditability of the results obtained is more or less affected. Based on the continuation algorithm, this paper investigates the dynamic stability using the small signal analysis method. The stability type is distinguished by the modal participation factors of the state variables. Firstly, the equilibrium manifold is traced by a locally parameterized continuation method. Then, the dynamic stability of each equilibrium point is analyzed using the small disturbance analysis method considering the components dynamics. The system state matrix is calculated numerically by applying small perturbation to each state in turn. Simulation results show remarkable differences in the stability critical points obtained by the small signal perturbation dynamic analysis and the static analysis. Also a region of dynamic voltage stability is found in the lower portion of the PV curve.

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“…Load character takes on constant P-Q feature which is insensitive to the change of voltage and frequency; In addition, in some countries load centers can possess features as follow: 5. In MV distribution network large numbers of OLTC exist; 6 7. Cable lines are used widely in HV and MV networks and sometimes the percentage is very high, for example, in Beijing.…”

Section: Introductionmentioning

confidence: 99%

“…Essentially the PV curve method regards the singular point of power flow Jacobian matrix as the collapse point of power system. References [6] and [7] indicate the calculation precision is acceptable. Though a PV curve is quite useful in assessing transfer or loading limits, it cannot identify the location of shortage of reactive and its cause.…”

Section: Introductionmentioning

confidence: 99%

Study on Static Voltage Stability Assessment for Load Center Area

Shang

Zhang

2006

2006 International Conference on Power System Technology

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The static voltage stability assessment (VSA) for a typical load center is discussed in this paper. Two indices are proposed for the static VSA of load centers. Moreover, the corresponding criteria are made for Beijing power system (BPS). A framework is developed in this paper to deal with the contingencies for the transmission interface and local generators which are critical to the static voltage stability of load centers. In this framework, determinate method is used to analyze the small quantity of N-1 or N-2 contingencies and probability-based is used to deal with the large quantity of overlapping contingencies. Furthermore, other factors which are of importance to the VSA for a load center, such as, the load increasing pattern, a number of MSCs (mechanically switched capacitors) and cables used and load characters, are also discussed in this paper.Index Terms static stability voltage assessment, load center, probability-based method

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Research on the relationship of the singular point for load flow jacobian matrix and the critical point of voltage collapse

Cited by 9 publications

References 5 publications

Dynamic voltage stability prediction of power systems by a new feature selection technique and probabilistic neural network

Dynamic voltage stability prediction of power systems by a new feature selection technique and probabilistic neural network

Power System Dynamic Stability Analysis and Stability Type Discrimination

Study on Static Voltage Stability Assessment for Load Center Area

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