optimal capacitor placement radial distribution

[aherbas]

I need papers relative to optimal capacitor placement using sensitivity factors from newtow raphson jacobian matrix. If somebody can help me, or can explain me how this method works?

Thank you.

 

[Bung]

I think the old Westinghouse 1/3 rule is pretty much good enough for most applications -saves a lot of calcs that may not give you a very different answer.

Using the Jacobian is going to make you very dependant on the accuracy of your load models, time of day, season etc. You start getting into the whole '"probabilistic load flow" thing, so about the best you will get is a whole bunch of Jacobians for different loading conditions, and it comes down to looking for differences so you can optimise placement not just for one condition, but across them all.

And then System Ops goes and re-configures the feeder on you...


Bung
Life is non-linear...

 

[jghrist]

I tend to agree with Bung that fancy optimization techniques are seldom warranted. I generally manually place capacitors in likely locations using the 1/3 rule if applicable and calculate the losses with a load flow program. Then move them to see if there is an improvement. There is very little difference in losses with wide variations of placement.

If you want to use a fancy approach anyway, there have been many papers written. A search on capacitor<and>optimize<and>placement in IEEE Explore yields:

An immune-based optimization method to capacitor placement in a radial distribution system
Shyh-Jier Huang;
Power Delivery, IEEE Transactions on , Volume: 15 , Issue: 2 , April 2000
Pages:744 - 749

Optimal capacitor placements in distribution systems. I. A new formulation and the overall problem
Chiang, H.-D.; Wang, J.-C.; Cockings, O.; Shin, H.-D.;
Power Delivery, IEEE Transactions on , Volume: 5 , Issue: 2 , April 1990
Pages:634 - 642

Optimal capacitor placement, replacement and control in large-scale unbalanced distribution systems: system modeling and a new formulation
Hsiao-Dong Chiang; Jin-Cheng Wang; Jianzhong Tong; Darling, G.;
Transmission and Distribution Conference, 1994., Proceedings of the 1994 IEEE Power Engineering Society , 10-15 April 1994
Pages:173 - 179

Fuzzy Approach for Optimal Placement and Sizing of Capacitor Banks in the Presence of Harmonics
Masoum, M.A.S.; Jafarian, A.; Ladjevardi, M.; Fuchs, E.F.; Grady, W.M.;
Power Delivery, IEEE Transactions on , Volume: 19 , Issue: 2 , April 2004
Pages:822 - 829

Optimal capacitor placement, replacement and control in large-scale unbalanced distribution systems: modeling and a new formulation
Hsiao-Dong Chiang; Jin-Cheng Wang; Jianzhong Tong; Darling, G.;
Power Systems, IEEE Transactions on , Volume: 10 , Issue: 1 , Feb. 1995
Pages:356 - 362

A new fuzzy-reasoning approach to optimum capacitor allocation for primary distribution systems
Ching-Tzong Su; Chih-Cheng Tsai;
Industrial Technology, 1996. (ICIT '96), Proceedings of The IEEE International Conference on , 2-6 Dec. 1996
Pages:237 - 241

Combined long-term optimization of radial primary distribution networks
Safigianni, A.S.; Salis, G.J.;
Electric Power Engineering, 1999. PowerTech Budapest 99. International Conference on , 29 Aug.-2 Sept. 1999
Pages:66

Optimal selection of capacitors in distribution systems
Ching-Tzong Su; Chu-Sheng Lee; Chin-Shen Ho;
Electric Power Engineering, 1999. PowerTech Budapest 99. International Conference on , 29 Aug.-2 Sept. 1999
Pages:301

Sensivity-based optimal capacitor placement on a radial distribution feeder
Bala, J.L., Jr.; Kuntz, P.A.; Taylor, R.M.;
Northcon 95. I EEE Technical Applications Conference and Workshops Northcon95 , 10-12 Oct. 1995
Pages:225 - 230

Capacitor placements for distribution systems with fuzzy algorithm
Hong-Chan Chin; Whei-Min Lin;
TENCON '94. IEEE Region 10's Ninth Annual International Conference. Theme: 'Frontiers of Computer Technology'. Proceedings of 1994 , 22-26 Aug. 1994
Pages:1025 - 1029 vol.2

Application of genetic based algorithms to optimal capacitor placement
Ajjarapu, V.; Albanna, Z.;
Neural Networks to Power Systems, 1991., Proceedings of the First International Forum on Applications of , 23-26 July 1991
Pages:251 - 255

Optimal placement and sizing of fixed and switched capacitor banks under nonsinusoidal operating conditions
Masoum, M.A.S.; Ladjevardi, M.; Fuchs, E.F.; Grady, E.M.;
Power Engineering Society Summer Meeting, 2002 IEEE , Volume: 2 , 21-25 July 2002
Pages:807 - 813 vol.2

Predicting and testing the effectiveness of voltage-correcting capacitors on two 12 kV distribution lines
Palmer, R.H.; Hackman, D.E.; Unger, M.W.; Oman, H.;
Transmission and Distribution Conference, 1991., Proceedings of the 1991 IEEE Power Engineering Society , 22-27 Sept. 1991
Pages:653 - 658

 

[aherbas]

Thank you for your answer. I would like ou comment the 1/3 rule. I really do not know that rule.

Thank you again.