Power System Dynamic Security Region and Its Approximations

Euro. Trans. Electr. Power

Zhang

et al. 2010

Self Cite

Based on the self-organized criticality (SOC) theory and OTS (OPF with transient stability constraints), this paper proposes a new blackout model which contains three different time scale dynamics, that is, transient dynamics, power flow dynamics, and power system planning dynamics. Not only the cascading failure process but also the characteristics of SOC in power system evolution are investigated in this model. The stability of transient dynamics is evaluated by the transient stability margin index based on stability region boundary. By this index, transient stability constraints of differential-algebraic equations are converted to algebraic equations through sensitivities, thus proper preventive and emergency controls against random contingencies can be determined. On the basis of Value at Risk (VaR) and Conditional Value at Risk (CVaR), two blackout risk assessment indices are proposed in this paper. These two indices could quantitatively reflect the tail property of largescale blackout distribution, reveal criticality characteristic, and compare the reliability of different systems or the same system under different operation conditions. Simulation results on New England system indicate that the proposed model can represent the dynamics in power system operation and construction, simulate cascading failure, and reveal SOC of power system evolution. Therefore, this model can be applied to assess the power system security level in multi-time scale, and formulate preventive and emergency control strategies. VaR and CVaR indices quantitatively describe the large-scale blackout distribution and reveal criticality characteristics.

Section: Transient Stability Index and Its Ots Algorithmmentioning

confidence: 99%

“…Refs. [22,23] present a new transient stability margin index based on the implicit function and quadratic approximation of the stability region boundary.…”

Section: Introductionmentioning

confidence: 99%

Power system blackout model with transient constraints and its criticality

Euro. Trans. Electr. Power

Zhang

et al. 2010

Self Cite

“…To overcome the above mentioned limitations, the blackout model based on OTS [22,23] , which involves three time scales, was proposed in ref. [21].…”

Section: Blackout Model Based On Otsmentioning

confidence: 99%

“…We list different routines to model and analyze the power system blackout according to SOC which are all related to the power law tail distribution of blackout data, i.e., the hidden failure model [10] based on approximately DC power flow and hidden failure theory, the OPA model based on DC optimal power flow [11][12][13] , Manchester model based on load shedding and AC power flow [14][15][16] , and the blackout models based on OPF [17][18][19][20] and OTS (OPF with transient stability) [21][22][23] . Then, different analysis approaches to the SOC of blackouts are presented.…”

Section: Introductionmentioning

confidence: 99%

On power system blackout modeling and analysis based on self-organized criticality

Sci. China Ser. E-Technol. Sci.

Xue

Zhang

2008

Self Cite

This paper makes a comprehensive survey on power system blackout modeling and analysis based on SOC (self-organized criticality). Firstly, a generalized SOC theory from the viewpoint of cybernetics is introduced. Then the evolution model of power system and its relative mathematical description, which serves as a concrete example of the proposed generalized SOC, are given. Secondly, five blackout models capturing various critical properties of power systems in different time-scales are listed. Finally, this paper analyzes SOC in power systems, such as, the revelation of criticalities of proposed models in both micro-scale and macro-scale which can be used to assess the security of power system, and cascading failures process. blackout model, self-organized criticality (SOC), cascading failures

“…The CUEP of a certain fault is the unstable equilibrium point whose stable manifold (which is a part of the boundary of the stability region) is crossed by the continuous faulted trajectory of the fault [4] . With the concept of the CUEP, the local boundary of dynamic security region that is of interest to the study of transient stability can therefore be written locally as [13,14] :…”

Section: Mmentioning

confidence: 99%

A new transient stability margin based on dynamic security region and its applications

Xue

Sci. China Ser. E-Technol. Sci.

2008

Self Cite

A new transient stability margin is proposed based on a new expression of dynamic security region (DSR) which is developed from the existing expression of DSR.Applications of the DSR based transient stability margin to contingency ranking and screening are discussed. Simulations in the 10-machine 39-bus New England system are performed to show the effectiveness of the proposed DSR based transient stability margin.dynamic security region (DSR), transient stability margin, contingency screening