Calculation of the probability density function of critical clearing time in transient stability analysis

Author

Liang, Yiqiao ; Ayasun, Saffet ; Nwankpa, Chika

Author_Institution

Dept. of Electr. & Comput. Eng., Drexel Univ., Philadelphia, PA, USA

fYear

2002

fDate

7-10 Jan. 2002

Abstract

The critical clearing time, t_cc, in power system transient stability analysis is modeled as a random variable due to the random nature of the power system load. A linear approximation approach that mainly involves the sensitivity calculation of the derivative of t_cc to the system load is developed to obtain the probability density function (PDF) of t_cc based on the PDF of the system load. A Monte Carlo simulation method is used to verify that this approach is accurate under the condition of small load deviation. The probability of the system being transiently stable for particular disturbances is calculated based on the PDF of t_cc.

Keywords

differential equations; power system transient stability; probability; statistical analysis; time-domain analysis; PDF; algebraic equations; critical clearing time; differential equations; faulted conditions; linear approximation approach; power system load; power system transient stability analysis; probability density function; small load deviation; time domain; Medical services; Power system dynamics; Power system modeling; Power system simulation; Power system stability; Power system transients; Probability density function; Stability analysis; Steady-state; Transient analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

System Sciences, 2002. HICSS. Proceedings of the 35th Annual Hawaii International Conference on

Print_ISBN

0-7695-1435-9

Type

conf

DOI

10.1109/HICSS.2002.993972

Filename

993972