Extended Equal Area Criterion Justifications, Generalizations, Applications

Xue, Yusheng; Cutsem, Th. Van; Ribbens-Pavella, M.

doi:10.1109/mper.1989.4310458

Cited by 47 publications

(81 citation statements)

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“…The above three indices M s i , M t i , and M d i are calculated by the method detailed in references Xue et al 32,33 2. The power grid risk indicator for each line is calculated from…”

Section: Quantitative Power Grid Risk Analysis Methods For Transmissmentioning

confidence: 99%

Research and application of efficient risk analysis method for electric power grid multiple faults under widespread wildfire disasters

Guo

Zhou

et al. 2019

Int Trans Electr Energ Syst

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Summary In recent years, wildfire disasters have occurred frequently in China, with currently more than 70 000 wildfires annually. During the high wildfire disaster period, multiple transmission lines readily trip simultaneously. This poses a serious threat to the safe operation of a large power grid. The probability that multiple transmission lines will trip is far greater than for only a single transmission line. The degree of risk to the power grid needs to be analyzed under multiple tripping combinations of transmission lines caused by wildfire disasters. However, when a large number of wildfire points is involved, the number of such transmission lines tripping combinations become huge, and rapid analysis of the risk to the power grid in these conditions is very difficult. In the present study, the probability distribution characteristics of power grid fault under wildfire disaster were analyzed using historical data on transmission line wildfires and wildfire tripping. A Markov chain Monte Carlo sampling method is proposed to match the probability distribution characteristics of transmission lines tripping under wildfire disasters. The precision of multi‐fault combination sampling is improved effectively. A quantitative power grid risk analysis method is put forward to estimate the sort of transmission lines risk under wildfire disasters efficiently. This gives scientifically based guidelines for reducing the risk to a power grid from widespread wildfire.

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“…The above three indices M s i , M t i , and M d i are calculated by the method detailed in references Xue et al 32,33 2. The power grid risk indicator for each line is calculated from…”

Section: Quantitative Power Grid Risk Analysis Methods For Transmissmentioning

confidence: 99%

Research and application of efficient risk analysis method for electric power grid multiple faults under widespread wildfire disasters

Guo

Zhou

et al. 2019

Int Trans Electr Energ Syst

View full text Add to dashboard Cite

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“…The matrix A represents the features of PTVs, by which generators can be divided into two groups: CMs and NMs. Different from other CM identification methods, the proposed method not only focuses on the angle but also pays attention to the angular velocity and motion trend, which indicates the future motion of generators by (1). Proposed PTVs describe much more information than the angle curves of generators.…”

Section: Phase-plane Trajectory Vector-based Methodsmentioning

confidence: 99%

A phase‐plane trajectory vector‐based method for real‐time identification of critical machines

Yang

Hojo

Zhang

2018

IEEJ Transactions Elec Engng

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The identification of critical machines (CMs) is the first and most important step of Equivalent‐Single Machine Infinite Bus based methods such as Extend Equal Area Criterion and SIngle Machine Equivalent (SIME) for transient stability assessment and control. This paper presents a novel real‐time CM identification method based on the Phase‐Plane Trajectory Vector (PTV) with Phase Measurement Unit (PMU) information support. The proposed method overcomes the drawbacks of conventional CM identification methods and enables the tracking of the change of CMs during the dynamic process. Only two sample points of all generators from PMUs are required to obtain the PTVs at each moment, and the computation of the feature matrix, as well as the k‐means clustering, is fast and accurate. The application of the PTV‐based method is verified through cases studied in the IEEE 39 bus New England power system. Results are compared with those obtained by conventional methods. © 2018 Institute of Electrical Engineers of Japan. Published by John Wiley & Sons, Inc.

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“…can be equivalent to a two-machine power system based on groups S and A [8]. The process of equivalence is shown as follows: Then, it is equivalent to an SMIB system through the following:…”

Section: Simb Equivalent the Multimachine Power Systemmentioning

confidence: 99%

Transient stability assessment and control system for power system

Wang

2019

IEEJ Transactions Elec Engng

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This paper addresses the issue of power system transient stability assessment and control (TSA&C) based on phase plane representation of the power angle and rotor speed. First, the relationship between transient stability–instability and concavity–convexity of the phase‐plane trajectory is found and proved based on the single machine infinite bus (SMIB) system, and a transient instability criterion is derived for real‐time instability detection. Second, with the aim that the phase‐plane trajectory swings back before the unstable equilibrium point (UEP) once instability is detected, near‐optimal control size of generator tripping to stabilize the system is determined based on the relationship between unbalanced power and the slope of the phase‐plane trajectory. Finally, the instability detection and control technique is extended to a multimachine power system based on SMIB equivalent transform. The proposed method is independent of the network structure and operation mode, which can be applied for real‐time emergency control based on wide area measurement system (WAMS). The simulations in the Institute of Electrical and Electronics Engineers (IEEE) 39‐bus system and the Sanhua Power Grid (in China) validate the accuracy and efficiency of the proposed method. © 2019 Institute of Electrical Engineers of Japan. Published by John Wiley & Sons, Inc.

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Extended Equal Area Criterion Justifications, Generalizations, Applications

Cited by 47 publications

References 0 publications

Research and application of efficient risk analysis method for electric power grid multiple faults under widespread wildfire disasters

Research and application of efficient risk analysis method for electric power grid multiple faults under widespread wildfire disasters

A phase‐plane trajectory vector‐based method for real‐time identification of critical machines

Transient stability assessment and control system for power system

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