Diferansiyel gelişim algoritmasının yasak işletim bölgeli ekonomik güç dağıtım problemine uygulanması

Öz

Ekonomik güç dağıtımı, güç sistemlerinin planlanması ve işletimlerindeki en temel problemlerden biridir. Bu tür problemler sistem kısıtları altında toplam yakıt maliyetinin minimize edildikleri optimizasyon problemleridir. Bu çalışmada, generatörlerin artırma/azaltma sınırlarını dikkate alan yasak işletim bölgeli ekonomik güç dağıtımı problemi diferansiyel gelişim algoritması (DGA) ile çözülmüştür. Problemin çözümünde kullanılan iletim hatları ka yıpları B - kayıp matrisi ile hesaplanmıştır. DGA metodu literatürdeki 6 ve 15 generatörden oluşan iki farklı test sistemine uygulanmıştır. Elde edilen optimal çözüm değerleri, literatürde bulunan optimal sonuçlarla karşılaştırılmış ve sonuçlar tartışılmıştır.

Anahtar Kelimeler

• Ekonomik güç dağıtımı, Yasak işletim bölgeleri, Artırma/azaltma sınırları, Diferansiyel gelişim algoritması

The application of differential evolution algorithm for the economic power dispatch with prohibited operating zone

Öz

Economic power dispatch is one of the most leading problems in the power system planning and operation. This kind of problems in which total fuel cost is minimized under system limits. In this study, prohibited operating zone economic power dispatch proble m which considers ramp rate limit, has been solved by differential evolution algorithm (DGA). The transmission line losses used in the solution of the problem have been computed by B - loss matrix. DGA method has been applied to two different test systems in literature which consist of 6 and 15 generators. The attained optimum solution values have been compared with the optimum results in literature and have been discussed.

Anahtar Kelimeler

• Economic power dispatch, Prohibited operating zones, Ramp rate limits, Differential evolution algorithm

Kaynakça

1. Niknam T., Mojarrad H, D., Meymand H, Z., "Non- smooth economic dispatch computation by fuzzy and self adaptive particle swarm optimization", Applied Soft Computing, Vol.11, pp.2805-2817, 2011.
2. Neyestani M., Farsangi M, M., Nezamabadi-pour H., “A modified particle swarm optimization for economic dispatch with non-smooth cost functions” Engineering Applications of Artificial Intelligence, Vol.23, pp.1121- , 2010.
3. Safari A., Shayeghi H., "Iteration particle swarm optimization procedure for economic load dispatch with generator Applications, Vol.38, pp.6043-6048, 2011. Expert Systems with
4. Selvakumar, A.I., Thanushkodi,K., “A new particle swarm optimization solution to nonconvex economic dispatch problems” IEEE Transaction on Power Systems, Vol.22, No.1, pp.42–51, February 2007.
5. Gaing Z, L., "Particle swarm optimization to solving the economic constraints", IEEE Transaction on Power Systems, Vol.18, No.3, pp.1187–1195, August 2003. generator
6. Niknam T., Mojarrad H, D., Meymand H, Z., Firouzi B, B., "A new honey bee mating optimization algorithm for non- smooth economic dispatch", Energy, Vol.36, pp.896-908, Orero S, O., Irving M, R., “Economic dispatch of generators with prohibited operating zones: A genetic algorithm approach,” IEE Proc. Inst. Elect. Eng., Gen., Transm., Distrib., Vol.143, No.6, pp. 529–534, November 1996.
7. Neto J, X, V., Bernert D, L, A., Coelho L, S., "Improved quantum-inspired evolutionary algorithm with diversity information applied to economic dispatch problem with prohibited operating zones", Energy Conversion and Management, Vol.52, pp.8-14, 2011.
8. Somasundaram P., Kuppusamy K., Kumuudini Devi R, P., "Economic dispatch with prohibited operating zones using fast computation evolutionary programming algorithm", Electric Power Systems Research, Vol.70, pp.245-252, 2004. Javabarathi T., Sadasivam G., Ramachandran V.,

9. "Evolutionary programming based economic dispatch of generators with prohibited operating zones", Electric Power Systems Research, Vol.52, pp.261-266, 1999.
10. Papageorgiou L, G., Fraga E, S., "A mixed integer quadratic programming formulation for the economic dispatch of generators with prohibited operating zones", Electric Power Systems Research, Vol.77, pp.1292-1296, 2007. anigrahi B, K., Yadav S, R., Agrawal S., Tiwari M, K., "A clonal algorithm to solve economic load dispatch", Electric
11. Power Systems Research, Vol.77, pp.1381-1389, 2007.
12. Bhattacharya A., Chattopadhyay P, K., "Solving complex economic load dispatch problems using biogeography based optimization", Expert Systems with Applications, Vol.37, pp.3605-3615, 2010.
13. Pothiya S., Ngamroo I., Kongprawechnon W., "Application of multiple tabu search algorithm to solve dynamic economic dispatch Conversion and Management, Vol.49, pp.506-516, 2008.
14. Chen C, L., "Non-convex economic dispatch: A direct search approach", Energy Conversion and Management, Vol.48, pp.219-225, 2007.
15. Wood A. J., Wollenberg B. F., "Power Generation Operation and Control", New York-Wiley, 1996.
16. Yuan X., Wang L., Zhang Y., Yuan Y., "A hybrid differential evolution method for dynamic economic dispatch with valve-point effects", Expert systems with applications, Vol.36, No.2, Part. 2, pp.4042- , 2009.
17. Yuan X., Wang L., Yuan Y., Zhang Y., Cao B., Yang B., "A modified differential evolution approach for dynamic economic dispatch with valve-point effects", Energy Conversion and Management, Vol.49, No.12, s.3447-3453, 2008.
18. Noman N., Iba H., "Differential evolution for economic load dispatch problems", Electric Power Systems Research Vol.78 No.8, s.1322-1331, 2008.
19. Yaşar C., Temurtaş H., Özyön S., "Diferansiyel gelişim algoritmasının termik birimlerden oluşan çevresel ekonomik güç dağıtım problemlerine uygulanması", ELECO’2010, 6. Ulusal Elektrik
20. Elektronik ve Bilgisayar Mühendisliği Sempozyumu, 2-5 Aralık 2010, BURSA, TÜRKİYE.
21. Özyön, S., Yaşar, C., Temurtaş, H., “Differential evolution algorithm approach to nonconvex economic power dispatch problems with valve point effect”, 6th International Advanced Technologies Symposium (IATS 2011), Electrical & Electronics Technologies
22. Papers, Vol.4, pp.181-186, 16-18 May 2011, Elazığ, TURKEY.
23. Keskintürk T., “Diferansiyel gelişim algoritması”, YA/EM 2006 - XXVI. Ulusal Kongresi, 3-5 Temmuz , KOCAELİ, s.214-217.
24. Keskintürk T., “Diferansiyel gelişim algoritması”, İstanbul Ticaret Üniversitesi Fen Bilimleri Dergisi, Yıl:5 Sayı:9, s.85-99, 2006. Karaboğa D., “Yapay Zeka Optimizasyon
25. Algoritmaları”, Atlas Yayın Dağıtım, Mayıs 2004, İSTANBUL.