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Hui Zheng - One of the best experts on this subject based on the ideXlab platform.

  • Probability Distribution of Power System Blackouts
    2007 IEEE Power Engineering Society General Meeting, 2007
    Co-Authors: Bei Gou, Hui Zheng
    Abstract:

    This paper proposes a Statistical distribution of blackouts for power systems through the employment of Statistical theory. Two groups of factors involved in the cascading events leading to blackouts are explored and explained. The mechanism of blackouts is proposed based on these two factors so that the Statistical Law of blackouts can be derived by using Statistical and probability theory. The theoretical proofs are given in obtaining the Statistical Law of blackouts. Sequential Monte Carlo simulation method is utilized to perform the numerical tests on different power systems to justify the proposed Law for blackouts.

  • ISCAS - Probability Distribution of Blackouts in Complex Power Networks
    2007 IEEE International Symposium on Circuits and Systems, 2007
    Co-Authors: Bei Gou, Hui Zheng
    Abstract:

    Complex networks with a specific distribution of loads and specific topology may undergo a global cascade of failures. Researchers are trying to understand the cascade of failures and design strategies of defense to prevent the cascade from propagating through the entire network. Another fundamental question regards the prediction of blackouts for a given complex network. In this letter, it is the first time that a Statistical Law of blackouts with a thorough interpretation is derived from the mechanism of cascade of failures or blackouts which is introduced and investigated. Based on the proposed Statistical Law an approach to predict the blackouts for a given network is presented. The Statistical Law and proposed approach are also illustrated numerically.

  • The Statistical Law of Power System Blackouts
    2006 38th North American Power Symposium, 2006
    Co-Authors: Bei Gou, Hui Zheng
    Abstract:

    This paper proposes a Statistical distribution of blackouts for power systems through the employment of Statistical theory. Two groups of factors involved in the cascading events leading to blackouts are explored and explained. The mechanism of blackouts is proposed based on these two factors so that the Statistical Law of blackouts can be derived by using Statistical and probability theory. The theoretical proofs are given in obtaining the Statistical Law of blackouts. Sequential Monte Carlo simulation method is utilized to perform the numerical tests on different power systems to justify the proposed Law for blackouts.

Rune Elvik - One of the best experts on this subject based on the ideXlab platform.

  • a Statistical Law in the perception of risks and physical quantities in traffic
    Accident Analysis & Prevention, 2015
    Co-Authors: Rune Elvik
    Abstract:

    This paper suggests that a universal psychophysical Law influences the perception of risks and physical quantities in traffic. This Law states that there will be a tendency to overestimate low probabilities or small quantities, while high probabilities or large quantities may be underestimated. Studies of the perception of risk and physical quantities in traffic have found a highly consistent pattern, which shows that: The paper gives examples of all these misperceptions of physical quantities and risk. Language: en

  • A Statistical Law in the perception of risks and physical quantities in traffic.
    Accident; analysis and prevention, 2015
    Co-Authors: Rune Elvik
    Abstract:

    This paper suggests that a universal psychophysical Law influences the perception of risks and physical quantities in traffic. This Law states that there will be a tendency to overestimate low probabilities or small quantities, while high probabilities or large quantities may be underestimated. Studies of the perception of risk and physical quantities in traffic have found a highly consistent pattern, which shows that: 1. Pedestrians intending to cross the road overestimate the stopping distance of cars travelling at low speed and underestimate the stopping distance of cars travelling at high speed. 2. Car drivers intending to overtake overestimate the distance needed at low speed, but underestimate it at high speed. 3. Car drivers asked to accelerate from standstill to a given speed overshoot the target speed; when asked to slow down to a stated speed, drivers also overshoot the target speed. 4. When asked what speed to choose to save a given amount of time on a trip of given length, drivers overestimate target speed when initial speed is low and underestimate it when initial speed is high. 5. Drivers overestimate the increase in risk associated with a small increase in speed and underestimate the increase in risk associated with a larger increase in speed. 6. Drivers overestimate the risk of apprehension for traffic offences when it is low and underestimate it when it is high. 7. Road users overestimate the risk associated with comparatively safe modes of tr The paper gives examples of all these misperceptions of physical quantities and risk.

J. A. Castilho Alcarás - One of the best experts on this subject based on the ideXlab platform.

  • a Statistical Law for multiplicities of su 3 irreps λ μ in the plethysm eta stackrel 3 protect bi otimes m rightarrow lambda hbox mu
    Journal of Physics A, 2009
    Co-Authors: V.k.b. Kota, K. B. K. Mayya, J. A. Castilho Alcarás
    Abstract:

    A Statistical Law for the multiplicities of the SU(3) irreps (λ, μ) in the reduction of totally symmetric irreducible representations {m} of with η being the three-dimensional oscillator major shell quantum number, is derived in terms of the quadratic and cubic invariants of SU(3), by determining the first three terms of an asymptotic expansion for the multiplicities. To this end, the bivariate Edgeworth expansion known in statistics is used. Simple formulae, in terms of m and η, for all the parameters in the expansion are derived. Numerical tests with large m and η = 4, 5 and 6 show good agreement with the Statistical formula for the SU(3) multiplicities.

  • A Statistical Law for multiplicities of SU(3) irreps (λ, μ) in the plethysm \{\eta\} \stackrel{3}{{{\protect\bi \otimes}}} \{ m \} \rightarrow (\lambda\hbox{,}\, \mu)
    Journal of Physics A: Mathematical and Theoretical, 2009
    Co-Authors: V.k.b. Kota, K. B. K. Mayya, J. A. Castilho Alcarás
    Abstract:

    A Statistical Law for the multiplicities of the SU(3) irreps (λ, μ) in the reduction of totally symmetric irreducible representations {m} of with η being the three-dimensional oscillator major shell quantum number, is derived in terms of the quadratic and cubic invariants of SU(3), by determining the first three terms of an asymptotic expansion for the multiplicities. To this end, the bivariate Edgeworth expansion known in statistics is used. Simple formulae, in terms of m and η, for all the parameters in the expansion are derived. Numerical tests with large m and η = 4, 5 and 6 show good agreement with the Statistical formula for the SU(3) multiplicities.

  • A Statistical Law for multiplicities of SU(3) irreps (A, μ) in the plethysm {η}⊗ {m} → (λ, μ)
    Journal of Physics A, 2009
    Co-Authors: V.k.b. Kota, K. B. K. Mayya, J. A. Castilho Alcarás
    Abstract:

    A Statistical Law for the multiplicities of the SU(3) irreps (λ, μ) in the reduction of totally symmetric irreducible representations {m} of U(N), N = (η + 1) (η + 2)/2 with η being the three-dimensional oscillator major shell quantum number, is derived in terms of the quadratic and cubic invariants of SU(3), by determining the first three terms of an asymptotic expansion for the multiplicities. To this end, the bivariate Edgeworth expansion known in statistics is used. Simple formulae, in terms of m and η, for all the parameters in the expansion are derived. Numerical tests with large m and η = 4, 5 and 6 show good agreement with the Statistical formula for the SU(3) multiplicities.

Bei Gou - One of the best experts on this subject based on the ideXlab platform.

  • Probability Distribution of Power System Blackouts
    2007 IEEE Power Engineering Society General Meeting, 2007
    Co-Authors: Bei Gou, Hui Zheng
    Abstract:

    This paper proposes a Statistical distribution of blackouts for power systems through the employment of Statistical theory. Two groups of factors involved in the cascading events leading to blackouts are explored and explained. The mechanism of blackouts is proposed based on these two factors so that the Statistical Law of blackouts can be derived by using Statistical and probability theory. The theoretical proofs are given in obtaining the Statistical Law of blackouts. Sequential Monte Carlo simulation method is utilized to perform the numerical tests on different power systems to justify the proposed Law for blackouts.

  • ISCAS - Probability Distribution of Blackouts in Complex Power Networks
    2007 IEEE International Symposium on Circuits and Systems, 2007
    Co-Authors: Bei Gou, Hui Zheng
    Abstract:

    Complex networks with a specific distribution of loads and specific topology may undergo a global cascade of failures. Researchers are trying to understand the cascade of failures and design strategies of defense to prevent the cascade from propagating through the entire network. Another fundamental question regards the prediction of blackouts for a given complex network. In this letter, it is the first time that a Statistical Law of blackouts with a thorough interpretation is derived from the mechanism of cascade of failures or blackouts which is introduced and investigated. Based on the proposed Statistical Law an approach to predict the blackouts for a given network is presented. The Statistical Law and proposed approach are also illustrated numerically.

  • The Statistical Law of Power System Blackouts
    2006 38th North American Power Symposium, 2006
    Co-Authors: Bei Gou, Hui Zheng
    Abstract:

    This paper proposes a Statistical distribution of blackouts for power systems through the employment of Statistical theory. Two groups of factors involved in the cascading events leading to blackouts are explored and explained. The mechanism of blackouts is proposed based on these two factors so that the Statistical Law of blackouts can be derived by using Statistical and probability theory. The theoretical proofs are given in obtaining the Statistical Law of blackouts. Sequential Monte Carlo simulation method is utilized to perform the numerical tests on different power systems to justify the proposed Law for blackouts.

V.k.b. Kota - One of the best experts on this subject based on the ideXlab platform.

  • a Statistical Law for multiplicities of su 3 irreps λ μ in the plethysm eta stackrel 3 protect bi otimes m rightarrow lambda hbox mu
    Journal of Physics A, 2009
    Co-Authors: V.k.b. Kota, K. B. K. Mayya, J. A. Castilho Alcarás
    Abstract:

    A Statistical Law for the multiplicities of the SU(3) irreps (λ, μ) in the reduction of totally symmetric irreducible representations {m} of with η being the three-dimensional oscillator major shell quantum number, is derived in terms of the quadratic and cubic invariants of SU(3), by determining the first three terms of an asymptotic expansion for the multiplicities. To this end, the bivariate Edgeworth expansion known in statistics is used. Simple formulae, in terms of m and η, for all the parameters in the expansion are derived. Numerical tests with large m and η = 4, 5 and 6 show good agreement with the Statistical formula for the SU(3) multiplicities.

  • A Statistical Law for multiplicities of SU(3) irreps (λ, μ) in the plethysm \{\eta\} \stackrel{3}{{{\protect\bi \otimes}}} \{ m \} \rightarrow (\lambda\hbox{,}\, \mu)
    Journal of Physics A: Mathematical and Theoretical, 2009
    Co-Authors: V.k.b. Kota, K. B. K. Mayya, J. A. Castilho Alcarás
    Abstract:

    A Statistical Law for the multiplicities of the SU(3) irreps (λ, μ) in the reduction of totally symmetric irreducible representations {m} of with η being the three-dimensional oscillator major shell quantum number, is derived in terms of the quadratic and cubic invariants of SU(3), by determining the first three terms of an asymptotic expansion for the multiplicities. To this end, the bivariate Edgeworth expansion known in statistics is used. Simple formulae, in terms of m and η, for all the parameters in the expansion are derived. Numerical tests with large m and η = 4, 5 and 6 show good agreement with the Statistical formula for the SU(3) multiplicities.

  • A Statistical Law for multiplicities of SU(3) irreps (A, μ) in the plethysm {η}⊗ {m} → (λ, μ)
    Journal of Physics A, 2009
    Co-Authors: V.k.b. Kota, K. B. K. Mayya, J. A. Castilho Alcarás
    Abstract:

    A Statistical Law for the multiplicities of the SU(3) irreps (λ, μ) in the reduction of totally symmetric irreducible representations {m} of U(N), N = (η + 1) (η + 2)/2 with η being the three-dimensional oscillator major shell quantum number, is derived in terms of the quadratic and cubic invariants of SU(3), by determining the first three terms of an asymptotic expansion for the multiplicities. To this end, the bivariate Edgeworth expansion known in statistics is used. Simple formulae, in terms of m and η, for all the parameters in the expansion are derived. Numerical tests with large m and η = 4, 5 and 6 show good agreement with the Statistical formula for the SU(3) multiplicities.