1. JCPEE
  2. All Volumes and Issues
  3. Volume 6, Number 1, 2016
  4. Approximation of equivalent source parameters change function by Franklin functions

Approximation of equivalent source parameters change function by Franklin functions

JCPEE.
2016;
Volume 6, Number 1
: pp.49-54
Authors:
  1. Valery Zhuikov
  2. Kateryna Osypenko
1
“Igor Sikorsky Kyiv Polytechnic Institute” National Technical University of Ukraine
2
“Igor Sikorsky Kyiv Polytechnic Institute” National Technical University of Ukraine

A problem of approximation of the primary energy flow parameters change function by linear approximations to ensure a minimal error is considered in the paper. A representation of the parameters of voltage and internal resistance of equivalent generators of renewable sources as linear functions allows an increase in the level of energy transmitted to the load. To solve the problem set, it is proposed to approximate the primary energy flow parameters change function by the system of Franklin orthonormal functions. It is shown that applying the m-shift operation to the Franklin orthogonal functions minimizes the error and the number of approximating functions.

Distributed generation
renewable energy sources
Heisenberg’s uncertainty principle
approximation
Franklin functions
  1. BP, “Statistical Review of World Energy. 2015 in review” http://www.bp.com/en/global/corporate/energy-economics/statistical-review-of-world-energy.html
  2. T.Baziuk, I.Blinov, O.Butkevych, I.Hon­charenko, S.Denysiuk, V.Zhuikov, O.Kyrylenko, L.Lukianenko, D.Mykolaiets, K.Osypenko, V.Pavlovskyi, O.Rybina, A. Steliuk, S.Tankevych, and I.Trach., Intelligent power systems: elements and modes: Under the general editorship of acad. of the NAS of Ukraine O.V. Kyrylenko. Kyiv, Ukraine: Institute of Electrodynamics of the NAS of Ukraine 2016. (Ukrainian)
  3. F. Boico and B. Lehman, “Study of Different Imple­mentation Approaches for a Maximum Power Point Tracker”, IEEE COMPEL Workshop, pp. 15 – 21, 2006.
  4. REN21 2016. Renewables Global Status Report 2016.
  5. V. Zhuikov and K. Osypenko, “The features of wind generator maximum power selection in transient process of orientation on wind flow vector,” Bulletin of the Kryvyi Rih National University, vol. 42, pp. 39–42, 2016. (Ukrainian).
  6. V. Zhuikov and K. Osypenko, “Compensator currents form determination considering wind generator aerodynamic resistance”, in Proc. 2014 IEEE Inter­national conference on intelligent energy and power systems (IEPS), pp. 168-170, Kyiv, Ukraine, 2014.
  7. H. Zhou, T. Bhattacharya, D. Tran, T.S.T. Siew, and A. Khambadkone, “Composite Energy Storage System Involving Battery and Ultracapacitor With Dynamic Energy Management in Microgrid Applications”, IEEE Transactions on Power Electronics, vol. 26, no. 3, pp. 923 – 930, 2011.
  8. G. Korn and T. Korn, Mathematical handbook for scientists and engineers, New York, USA: McGraw-Hill Book Company, 1968.
  9. L.Brillouin, Science and the information theory, Moscow, USSR: State publishing house of physical and mathematical literature, 1960. (Russian)
  10. A. Trakhtman and V. Trakhtman, The fundamentals of the theory of discrete signals on finite intervals, Moscow, USSR: Sovietskoye radio, 1975. (Russian)