http://iet.metastore.ingenta.com
1887

Estimating B-coefficients of power loss formula considering volatile power injections: an enhanced least square approach

Estimating B-coefficients of power loss formula considering volatile power injections: an enhanced least square approach

For access to this article, please select a purchase option:

Buy article PDF
£12.50
(plus tax if applicable)
Buy Knowledge Pack
10 articles for £75.00
(plus taxes if applicable)

IET members benefit from discounts to all IET publications and free access to E&T Magazine. If you are an IET member, log in to your account and the discounts will automatically be applied.

Learn more about IET membership 

Recommend Title Publication to library

You must fill out fields marked with: *

Librarian details
Name:*
Email:*
Your details
Name:*
Email:*
Department:*
Why are you recommending this title?
Select reason:
 
 
 
 
 
IET Generation, Transmission & Distribution — Recommend this title to your library

Thank you

Your recommendation has been sent to your librarian.

In power system analysis and optimisation, the B-coefficient loss formula is frequently used to estimate network losses. However, given the rapidly increasing penetration of renewable generations and responsive demands, nodal power injections of modern power systems appear to be highly variable, deteriorating the accuracy of the traditional B-coefficients loss formula. To address this issue, several typical variants of direct current power flow approximations combining with two different least square methods are streamlined in a unified framework, spawning several improved least square-based methods to estimate B-coefficients in network loss formula. The improved methods relax the restrictive assumption in existing literature that bus load is linearly dependent on system load, and account for load distribution variability, hence remarkably enhance the accuracy of B-coefficients estimation with highly volatile nodal power injections. Case studies performed on IEEE-39 and RTS-96 bus systems demonstrate that the enhanced methods outperform traditional ones.

References

    1. 1)
      • 1. Conejo, A.J., Gomez-Exposito, C.C.A.: ‘Electric energy systems analysis and operation’ (CRC Press, Boca Raton, FL, USA, 2009).
    2. 2)
      • 2. Savier, J.S., Das, D.: ‘Impact of network reconfiguration on loss allocation of radial distribution systems’, IEEE Trans. Power Deliv., 2007, 22, (4), pp. 24732480.
    3. 3)
      • 3. Sidhu, T.S., Ao, Z.: ‘On-line evaluation of capacity and energy losses in power transmission systems by using artificial neural networks’, IEEE Trans. Power Deliv., 1995, 4, (10), pp. 19131919.
    4. 4)
      • 4. Salam, F.M.A., Ni, L., Guo, S., et al: ‘Parallel processing for the load flow of power systems: the approach and applications’. Proc. 28th IEEE Conf. Decision and Control, 1989.
    5. 5)
      • 5. Amjady, N., Ansari, M.R.: ‘Non-convex security constrained optimal power flow by a new solution method composed of Benders decomposition and special ordered sets’, Int. Trans. Electr. Energy Syst., 2014, 24, (6), pp. 842857.
    6. 6)
      • 6. Ciornei, I., Kyriakides, E.: ‘Recent methodologies and approaches for the economic dispatch of generation in power systems’, Int. Trans. Electr. Energy Syst., 2013, 23, (7), pp. 10021027.
    7. 7)
      • 7. Fu, S.M., Li, Y.Z.: ‘Security-constrained unit commitment with AC constraints’, IEEE Trans. Power Syst., 2005, 20, (2), pp. 10011013.
    8. 8)
      • 8. Hinojosa, V.H., Alcaraz, G-.G: ‘A computational comparison of 2 mathematical formulations to handle transmission network constraints in the unit commitment problem’, Int. Trans. Electr. Energy Syst., 2017, 27, (8), p. e2332.
    9. 9)
      • 9. Ross, B., Wu, F.F.: ‘Approximation formulas for the distribution system: the loss function and voltage dependence’, IEEE Trans. Power Deliv., 1991, 6, (1), pp. 252259.
    10. 10)
      • 10. Chang, Y.-C., Yang, W.-T., Liu, C.-C.: ‘A new method for calculating loss coefficients’, IEEE Trans. Power Syst., 1994, 9, (3), pp. 16651671.
    11. 11)
      • 11. Rao, P.S.N., Deekshit, R.: ‘Energy loss estimation in distribution feeders’, IEEE Trans. Power Deliv., 2006, 21, (3), pp. 10921100.
    12. 12)
      • 12. Hong, Y.-Y., Chao, Z.-T.: ‘Development of energy loss formula for distribution systems using FCN algorithm and cluster-wise fuzzy regression’, IEEE Trans. Power Deliv., 2002, 3, (17), pp. 794799.
    13. 13)
      • 13. Kron, G.: ‘Tensorial analysis of integrated transmission systems part I. the six basic reference frames’, Trans. Am. Inst. Electr. Eng., 1951, 70, (2), pp. 12391248.
    14. 14)
      • 14. Baldwin, T.L., Makram, E.B.: ‘Economic dispatch of electric power systems with line losses’. Proc. 21st Southeastern Symp. System Theory, 1989.
    15. 15)
      • 15. Belati, E.A., Nascimento, C.F., Dietrich, A.B., et al: ‘Sensitivity analysis applied to nodal technical losses evaluation in power transmission systems’, Int. Trans. Electr. Energy Syst., 2014, 24, (2), pp. 178185.
    16. 16)
      • 16. Lukman, D., Blackburn, T.R.: ‘Loss minimization in load flow simulation in power system’. Proc. 4th IEEE Int. Conf. Power Electronics and Drive Systems, 2001.
    17. 17)
      • 17. Chen, J.-F., Chen, S.-D.: ‘Multi-objective power dispatch with line flow constraints using the fast newton- Raphson method’, IEEE Trans. Energy Convers., 1997, 1, (12), pp. 8693.
    18. 18)
      • 18. Lin, C.E., Chen, S.T., Huang, C.L.: ‘A direct Newton-Raphson economic dispatch’, IEEE Trans. Power Syst., 1992, 7, (3), pp. 11491154.
    19. 19)
      • 19. Eugene, F.H., William, D.S.: ‘A new method of determining loss coefficients’, IEEE Trans. Power Appl. Syst., 1968, 87, (7), pp. 15481553.
    20. 20)
      • 20. Shoults, R.R., Grady, W.M., Helmick, S.: ‘An efficient method for computing loss formula coefficients based upon the method of least squares’, IEEE Trans. Appl. Syst., 1979, 98, (6), pp. 21442152.
    21. 21)
      • 21. Podmore, R.: ‘Digital computer analysis of power system networks’, Ph.D. dissertation, Arizona State University, 1972.
    22. 22)
      • 22. Yu, E., Hong, B.: ‘Programming for economic load dispatching of Beijing-Tianjin-Tangshan grid’, Autom. Electr. Power Syst., 1983, 7, (3), pp. 312.
    23. 23)
      • 23. CPLEX User's Manual, IBM, Armonk, New York, 2015, release 12.6.1.
    24. 24)
      • 24. GUROBI User's Manual, GUROBI., 2016, release 6.5.
    25. 25)
      • 25. Lofberg, J.: ‘Yalmip: a toolbox for modeling and optimization in Matlab’. Proc. IEEE Int. Symp. Computer Aided Control Systems Design, 2004.
    26. 26)
      • 26. Zimmerman, R.D., Edmundo Murillo-Sanchez, C., Thomas, R.J.: ‘Matpower: steady-state operations, planning, and analysis tools for power systems research and education’, IEEE Trans. Power Syst., 2001, 26, (1), pp. 1219.
    27. 27)
      • 27. Force, R.T.S.T.: ‘The IEEE reliability test system 1996’, IEEE Trans. Power Syst., 1999, 14, (3), pp. 10101020.
    28. 28)
      • 28. Cardell, J.B.: ‘Marginal loss pricing for hours with transmission congestion’, IEEE Trans. Power Syst., 2007, 22, (4), pp. 14661474.
    29. 29)
      • 29. Ghofrani-Jahromi, Z., Ehsan, M., Fotuhi-Firuzabad, M., et al: ‘From loss allocation to loss cost allocation: a comparative study of different loss cost allocation methods’, Int. Trans. Electr. Energy Syst., 2013, 23, (4), pp. 586600.
http://iet.metastore.ingenta.com/content/journals/10.1049/iet-gtd.2017.1496
Loading

Related content

content/journals/10.1049/iet-gtd.2017.1496
pub_keyword,iet_inspecKeyword,pub_concept
6
6
Loading
This is a required field
Please enter a valid email address