MERENJE KOMPONENTI ELEKTRIČNE SNAGE PO STANDARDU IEEE 1459-2010
Sažetak
Merenje u nesinusoidalnim uslovima je u centru istraživanja i mnogo se napora ulaže da se pojam reaktivne snage star više od sedamdeset godina definiše na nov način. Postoji niz pristupa rešavanju problema definisanja snaga i/ili pokušaja koncipiranja merne instrumentacije za merenje snaga u sistemima naizmenične struje pod nesinusoidalnim uslovima. Jedini standard koji se odnosi na specifične zahteve za tačnost i odgovarajuće uslove testiranja u prisustvu harmonijskih izobličenja je IEEE Std. 1459–2010, koji ne daje definiciju reaktivne snage u nesinusoidalnim uslovima. Koncept ovog IEEE standarda je baziran na razdvajanju snage na fundamentalni i nefundamentalni deo. U literaturi su prisutne različite tehnike za implementaciju standarda IEEE Std. 1459–2010. Ovaj standard je implementiran pomoću dva osnovna prilaza: (1) dvostepeni algoritam sa estimacijom harmonijskih spektara naponskog i strujnog signala u prvom koraku i računanjem nepoznatih komponenti snage u drugom koraku i (2) filterska implementacija kombinovana sa Clarke–Park transformacijom u slučaju trofaznog sistema.U radu je prikazana nova metoda za merenje električnih veličina definisanih standardom IEEE 1459-2010 koristeći drugi pristup. Ključni elementi su adaptivni pojasni i niskopropusni FIR filteri koji izdvajaju fundamentalnu i jednosmernu komponentu. U radu su korišćene tehnike oversemplinga i decimacionih filtera, čime se izbegavaju problemi vezani za osetljivost na zaokruživanje koeficijenata FIR kaskadnih filtera velikog reda, smanjuje obim numeričkih računanja i povećava tačnost merenja. Estimacija simetričnih komponenti vrši se pomoću matrice adaptivnih faznih korektora. U cilju procene performansi algoritma izvršene su računarske simulacije i dati njihovi rezultati.
Reference
Cataliotti, A., & Cosentino, V. (2008). A time-domain strategy for the measurement of IEEE standard 1459-2000 power quantities in nonsinusoidal three-phase and single-phase systems. IEEE Transactions on Power De-livery, 23(4). https://doi.org/10.1109/TPWRD.2008.2002642
Cataliotti, A., Cosentino, V., & Nuccio, S. (2008). The measurement of reactive energy in polluted distribution power systems: An analysis of the performance of commercial static meters. IEEE Transactions on Power Delivery, 23(3), 1296–1301. https://doi.org/10.1109/TPWRD.2008.919239
Emanuel, A. E., & Milanez, D. L. (2006). Clarke’s alpha, beta, and zero components: A possible approach for the conceptual design of instrumentation compatible with IEEE Std. 1459-2000. IEEE Transactions on Instrumentation and Measurement, 55(6), 2088–2095. https://doi.org/10.1109/TIM.2006.884125
Gherasim, C., van den Keybus, J., Driesen, J., & Belmans, R. (2004). DSP implementation of power measurements according to the IEEE trial-use Standard 1459. IEEE Transactions on Instrumentation and Measurement, 53(4), 1086–1092. https://doi.org/10.1109/TIM.2004.831509
Hogenauer, E. B. (1981). An Economical Class of Digital Filters for Decimation and Interpolation. IEEE Transactions on Acoustics, Speech, and Signal Processing, 29(2), 155–162. https://doi.org/10.1109/TASSP.1981.1163535.
IEEE Std 1459-2010, 40 IEEE Std 1459-2010 (Revision of IEEE Std 1459-2000) (2010).
IJ, J. E., & S Loureiro, O. (2015). Research and Development of a Virtual Instrument for Measurement, Analysis and Monitoring of the Power Quality. Journal of Fundamentals of Renewable Energy and Applications, 05(05). https://doi.org/10.4172/2090-4541.1000185
Jovanovic, G., & Diaz-Carmo, J. (2011). On Design of CIC Decimators. In Applications of MATLAB in Science and Engineering. https://doi.org/10.5772/22673
Kušljević, M. D. (2007). Symmetrical components estimation through maximum likelihood algorithm and adaptive filtering. IEEE Transactions on Instrumentation and Measurement, 56(6). https://doi.org/10.1109/TIM.2007.908126
Kusljevic, M. D. (2010a). A simultaneous estimation of frequency, magnitude, and active and reactive power by using decoupled modules. IEEE Transactions on Instrumentation and Measurement, 59(7). https://doi.org/10.1109/TIM.2009.2030865
Kusljevic, M. D. (2010b). Simultaneous frequency and harmonic magnitude estimation using decoupled modules and multirate sampling. IEEE Transactions on Instrumentation and Measurement, 59(4). https://doi.org/10.1109/TIM.2009.2031426
Kušljević, M. D., Tomić, J. J., & Jovanović, L. D. (2010). Frequency estimation of three-phase power system using weighted-least- square algorithm and adaptive FIR filtering. IEEE Transactions on Instrumentation and Measurement, 59(2). https://doi.org/10.1109/TIM.2009.2023816
López, A., Montaño, J. C., Castilla, M., Gutiérrez, J., Borrás, M. D., & Bravo, J. C. (2008). Power system frequency measurement under nonstationary situations. IEEE Transactions on Power Delivery, 23(2). https://doi.org/10.1109/TPWRD.2007.916018
Lyons, R. G. (2014). Understanding Digital Signal Processing Third Edition. In Vascular (Issue January 2010).
Pigazo, A., & Moreno, V. M. (2007). Accurate and computationally efficient implementation of the IEEE 1459-2000 standard in three-phase three-wire power systems. IEEE Transactions on Power Delivery, 22(2). https://doi.org/10.1109/TPWRD.2006.881576
Poljak, P. D., Kuljevíc, M. D., & Tomíc, J. J. (2012). Power components estimation according to IEEE standard 1459-2010 under wide-range frequency deviations. IEEE Transactions on Instrumentation and Measurement, 61(3). https://doi.org/10.1109/TIM.2011.2171615
Rebizant, W., Szafran, J., & Wiszniewski, A. (2011). Measurement Algorithms for Digital Protection. https://doi.org/10.1007/978-0-85729-802-7_8
Terzija, V. V., Stanojević, V., Popov, M., & van der Sluis, L. (2007). Digital metering of power components ac-cording to IEEE standard 1459-2000 using the Newton-type algorithm. IEEE Transactions on Instrumentation and Measurement, 56(6). https://doi.org/10.1109/TIM.2007.908235
Tomic, J. J., Kusljevic, M. D., & Marcetic, D. P. (2010). An adaptive resonator-based method for power measurements according to the IEEE trial-use standard 1459-2000. IEEE Transactions on Instrumentation and Measurement, 59(2). https://doi.org/10.1109/TIM.2009.2020840
