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According to the explained model, for optimization of transient protection devices against pump station power failure in this pipeline, all connection points of pipes have been considered as candidate points for locating protective devices. Seven types of air-chamber with different volumes and three types of air-inlet valves with different orifices were considered as possible selections for candidate points. Table 3 shows the list of protective device specifications that are usable in this optimization along with the cost of each one. The optimization model selects decision variables for each candidate point from these two lists. Although in the model there is the possibility of a lack of protective device for each candidate point, it is the state that nothing is selected from the options presented in a candidate point.

Table 3

The specification of protective devices used in optimization model

Air-inlet valve
Air-chamber
TypeOrifice diameter Diameter (mm)Cost ($)TypeVolume (m3)Cost ($)
300 7,000 10 55,000 
450 9,000 20 100,000 
600 12,000 25 250,000 
   30 300,000 
   35 340,000 
   40 367,000 
   60 530,000 
Air-inlet valve
Air-chamber
TypeOrifice diameter Diameter (mm)Cost ($)TypeVolume (m3)Cost ($)
300 7,000 10 55,000 
450 9,000 20 100,000 
600 12,000 25 250,000 
   30 300,000 
   35 340,000 
   40 367,000 
   60 530,000 

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