Maximum Hybrid Entropy Assessment of Equipment Failure Probability Caused by Voltage Sags

In order to depict the complex uncertainty involved in evaluation of equipment sensitivity to voltage sags, the voltage tolerance level of sensitive equipment is characterized by interval data, a evaluation model is proposed to derive interval probabilities of equipment operation status. Hybrid entropy is used to measure the uncertainty of randomness and fuzziness. Then, the interval result is transformed into point-valued probability based on maximum hybrid entropy model. By the help of personal computers, the proposed model is finally verified in a test distribution system.

[1]  Arup Kumar Goswami,et al.  Stochastic Estimation of Balanced and Unbalanced Voltage Sags in Large System , 2008, 2008 First International Conference on Emerging Trends in Engineering and Technology.

[2]  J. N. Kapur,et al.  Entropy Optimization Principles and Their Applications , 1992 .

[3]  J.V. Milanovic,et al.  Severity Indices for Assessment of Equipment Sensitivity to Voltage Sags and Short Interruptions , 2007, 2007 IEEE Power Engineering Society General Meeting.

[4]  Felix F. Wu,et al.  Network Reconfiguration in Distribution Systems for Loss Reduction and Load Balancing , 1989, IEEE Power Engineering Review.

[5]  Felix F. Wu,et al.  Network reconfiguration in distribution systems for loss reduction and load balancing , 1989 .

[6]  Gabriel Olguin,et al.  Voltage Dip (Sag) Estimation in Power Systems based on Stochastic Assessment and Optimal Monitoring , 2005 .

[7]  D. Shirmohammadi,et al.  A compensation-based power flow method for weakly meshed distribution and transmission networks , 1988 .

[8]  Vladik Kreinovich,et al.  Maximum entropy and interval computations , 1996, Reliab. Comput..

[9]  J. N. Kapur,et al.  Entropy optimization principles with applications , 1992 .

[10]  Math Bollen,et al.  Understanding Power Quality Problems: Voltage Sags and Interruptions , 1999 .

[11]  N.D. Hatziargyriou,et al.  Analytical calculation and stochastic assessment of voltage sags , 2006, IEEE Transactions on Power Delivery.

[12]  J.V. Milanovic,et al.  Probabilistic assessment of equipment trips due to voltage sags , 2006, IEEE Transactions on Power Delivery.

[13]  Settimo Termini,et al.  A Definition of a Nonprobabilistic Entropy in the Setting of Fuzzy Sets Theory , 1972, Inf. Control..

[14]  Derek W. Robinson,et al.  Entropy and Uncertainty , 2008, Entropy.

[15]  Chao Ma,et al.  Failure Probability Analysis of Sensitive Equipment Due to Voltage Sags Using Fuzzy-Random Assessment Method , 2010, IEEE Transactions on Power Delivery.

[16]  Chang-Hyun Park,et al.  Stochastic Estimation of Voltage Sags in a Large Meshed Network , 2007, IEEE Transactions on Power Delivery.

[17]  Sankar K. Pal,et al.  Higher order fuzzy entropy and hybrid entropy of a set , 1992, Inf. Sci..

[18]  E. Jaynes.  Information Theory and Statistical Mechanics , 1957 .