Unbalanced harmonic power sharing and voltage compensation of microgrids using radial basis function neural network‐based harmonic power‐flow calculations for distributed and decentralised control structures

Baghaee H.R. Mirsalim M. Sanjari M.J.et al.: ‘Fault current reduction in distribution systems with distributed generation units by a new dual functional series compensator’.Proc. 13th Power Electronics & Motion Control Conf. (EPE‐PEMC) Pozn. Poland September2008 pp.750–757

Baghaee H.R. Mirsalim M. Sanjari M.J.et al.: ‘Effect of type and interconnection of DG units in the fault level of distribution networks’.Proc. 13th Power Electronics & Motion Control (EPE‐PEMC) Poznan Poland September2008 pp.313–319

10.1016/j.ijepes.2010.12.012

Baghaee H.R., 2016, Three phase AC/DC power‐flow for balanced/unbalanced microgrids including wind/solar, droop‐controlled and electronically‐coupled distributed energy resources using RBF neural networks, IET Power Electron., 10, 313, 10.1049/iet-pel.2016.0010

Baghaee H.R., 2017, Application of RBF neural networks and unscented transformation in probabilistic power‐flow of microgrids including correlated wind/PV units and plug‐in hybrid electric vehicles, Simul. Model. Pract. Theory, 72, 51, 10.1016/j.simpat.2016.12.006

Baghaee H.R., 2016, Performance improvement of multi‐DER microgrid for small and large‐signal disturbances and nonlinear loads: novel complementary control loop and fuzzy controller in a hierarchical droop‐based control scheme, IEEE Syst. J., 1

10.1016/j.seta.2017.02.004

10.1049/iet-gtd.2016.0315

Baghaee H.R., 2016, Eigenvalue, robustness and time delay analysis of hierarchical control scheme in multiDER microgrid to enhance small/large‐signal stability using complementary loop and fuzzy logic controller, J. Circuits Syst. Comput., 26, 1

10.1109/TIE.2012.2194969

10.1109/TIE.2010.2066534

Ghanizadeh R., 2017, Non‐linear load sharing and voltage harmonics compensation in islanded microgrids with converter interfaced units, Int. Trans. On Elect. Energy Systems, 27, 1

10.1109/TIE.2010.2046001

10.1109/TPWRS.2014.2312615

10.1109/TSTE.2014.2317801

Baghaee H.R., 2017, A decentralized power management and sliding mode control strategy for hybrid AC/DC microgrids including renewable energy resources, IEEE Trans. Ind. Inf., 1, 10.1109/TII.2017.2677943

Baghaee H.R., 2017, Decentralized sliding mode control of WG/PV/FC microgrids under unbalanced and nonlinear load conditions for on and off‐grid modes, IEEE Syst. J., 1

Baghaee H.R., 2017, A generalized descriptor‐system robust H ∞ control of autonomous microgrids to improve small and large signal stability considering communication delays and load nonlinearities, Int. J. Electr. Power Energy Syst., 92, 63, 10.1016/j.ijepes.2017.04.007

Baghaee H.R., 2017, A decentralized robust mixed H 2/H ∞ voltage control scheme to improve small/large‐signal stability and FRT capability of islanded multi‐DER microgrid considering load disturbances, IEEE Syst. J., 1

10.1109/TPEL.2014.2332181

10.1109/TSG.2015.2396639

Vandoorn T., 2012, Controllable harmonic current sharing in islanded microgrids: DG units with programmable resistive behavior toward harmonics, IEEE Trans. Power Deliv., 27, 831, 10.1109/TPWRD.2011.2176756

10.1109/TPEL.2013.2243757

He J., 2015, An enhanced islanding microgrid reactive power, imbalance power, and harmonic power sharing scheme, IEEE Trans. Power Electron., 30, 3389, 10.1109/TPEL.2014.2332998

Sreekumar P., 2016, A new virtual harmonic impedance scheme for harmonic power sharing in an islanded microgrid, IEEE Trans. Power Deliv., 31, 936, 10.1109/TPWRD.2015.2402434

Sreekumar P. Khadkikar V.: ‘Nonlinear load sharing in low voltage microgrid using negative virtual harmonic impedance’.Proc. 41st Annual Conf. IEEE Industrial Electronics Society (IECON 2015) Yokohama Japan November2015 pp.3353–3358

Sreekumar P., 2016, Direct control of inverter impedance to achieve controllable harmonic sharing in islanded microgrid, IEEE Trans. Ind. Electron., 1

Yi M. Su M.: ‘A local harmonic compensation and power sharing control strategy in islanded microgrid based on PI + repetitive control’.Proc. Chinese Automation Congress (CAC) Wuhan China November2015 pp.1405–1409

Baghaee H.R., 2017, Power calculation using RBF neural networks to improve power sharing of hierarchical control scheme in multi‐DER microgrids, IEEE J. Emerg. Sel. Top. Power Electron., 4, 1217, 10.1109/JESTPE.2016.2581762

10.1049/iet-rpg.2016.0669

Savaghebi M. Guerrero J.M. Jalilian1 A.et al.: ‘Hierarchical control scheme for voltage harmonics compensation in an islanded droop controlled microgrid’.Proc. IEEE Ninth Int. Conf. Power Electronics and Drive Systems (PEDS) Singapore December2011 pp.89–94

10.1109/TSG.2011.2181432

10.1109/TSG.2012.2205281

Savaghebi M. Vasquez J.C. Jalilian1 A.et al.: ‘Selective harmonic virtual impedance for voltage source inverters with LCL filter in microgrids’.Proc. IEEE Energy Conversion Congress and Exposition (ECCE) Raleigh NC USA September2012 pp.1960–1965

Micallef M., 2015, Mitigation of harmonics in grid‐connected and islanded microgrids via virtual admittances and impedances, IEEE Trans. Smart Grid, 1, 10.1109/TSG.2015.2497409

10.1109/TIA.2013.2268734

Hasanpor Divshali P., 2012, Decentralized cooperative control strategy of microsources for stabilizing autonomous VSC‐based microgrids, IEEE Trans. Power Syst., 27, 1949, 10.1109/TPWRS.2012.2188914

IEEE recommended practice and requirements for harmonic control in electric power systems IEEE Standard 519 2014

IEEE recommended practice for monitoring electric power quality IEEE Standard 1159 2009

10.1109/TIE.2014.2379211

Meng W., 2016, Distributed load sharing of an inverter‐based microgrid with reduced communication, IEEE Trans. Smart Grid, 1

Lu X., 2017, Distributed secondary voltage and frequency control for islanded microgrids with uncertain communication links, IEEE Trans. Ind. Inf., 13, 448, 10.1109/TII.2016.2603844

10.1109/TSG.2016.2557813

Song H. Park H. Nam K.: ‘An instantaneous phase angle detection algorithm under unbalanced line voltage condition’.Proc. 30th Annual IEEE Power Electronics Specialists Conf. Charleston SC USA June1999 pp.533–537

Abdusalam M., 2009, New digital reference current generation for shunt active power filter under distorted voltage conditions, Electr. Power Syst. Res., 79, 759, 10.1016/j.epsr.2008.10.009

10.1109/TIE.2007.892621

I.E.E.E standard 1547: ‘IEEE standard for interconnecting distributed resources with electric power systems’ 2003

IEEE standard definitions for the measurement of electric power quantities under sinusoidal non‐sinusoidal balanced or unbalanced conditions IEEE standard 1459 2010

Demuth H., 1993, Neural network toolbox for use with MATLAB

10.1109/72.80341

10.1109/37.75576

Tarassenko I., 1994, Supervised and unsupervised learning in radial basis function classifiers, IET Proc., Vis. Image Signal Process., 141, 210, 10.1049/ip-vis:19941324

Baghaee H.R. Kaviani A.K. Mirsalim M.et al.: ‘Harmonic optimization in single DC source multi‐level inverters using RBF neural networks’.Proc. Third Power Electronics and Drive Systems Technology (PEDSTC) Tehran Iran 2012 pp.403–409

10.1109/TPWRD.2003.813604

Cécile J.‐F. Schoen L. Lapointe V.: ‘www.opal‐rt.com’ 2006. Available athttp://www.opal‐rt.com/technical‐document/distributed‐real‐time‐frameworkdynamic‐management‐heterogeneous‐co‐simulations

10.1016/j.energy.2016.09.007

Baghaee H.R., 2012, Security/cost‐based optimal allocation of multi‐type FACTS devices using multi‐objective particle swarm optimization, Simul. Int. Trans. Soc. Model. Simul., 88, 999

10.3233/JIFS-152372

Kashefi‐Kaviani A., 2009, Optimal sizing of a standalone wind/photovoltaic generation unit using particle swarm optimization, Simul. Int. Trans. Soc. Model. Simul, 85, 89

Ángeles‐Moreno M., 2004, A new balanced harmonic load flow including nonlinear loads modeled with RBF networks, IEEE Trans. Power Del., 19, 686, 10.1109/TPWRD.2004.825126