Short-term reliability evaluation for power stations by using <tex>${Lz}$</tex>-transform

Abstract

A short-term reliability evaluation is used for power stations, where each power generating unit is presented by a multi-state Markov model. The main obstacle for reliability evaluation in such a case is a “curse of dimensionality”—a great (huge) number of states of entire power station that should be analyzed. A modern approach is proposed based on using $Lz$-transform that drastically simplifies computation. The proposed approach is useful for power system security analysis and short-term operating decisions. In order to illustrate the proposed approach, the short-term reliability evaluation for a power station with different coal fired generating units is presented.

Keywords

• Power system
• Generating unit
• Generating capacity
• Multi-State Markov model
• Lz-transform
• Universal generating function