Comprehensive Assessment and Mitigation of Harmonic Resonance in Smart Distribution Grid with Solar Photovoltaic

Pramod Kumar Bhatt, S. Y. Kumar


This paper investigates the potential resonance phenomenon between the solar photovoltaic (PV) and the distribution system components. The output of solar PV inverter is connected to the LC or LCL filters to alleviate the harmonics. Additionally, the transformers, capacitor banks, and cables are invariably used in power system. These inductive and capacitive elements can excite harmonic resonance by interacting with the system impedance. The objective of this paper is to analyze the harmonic resonance with solar PV integrated smart distribution system under varying network conditions. The paper investigates the effect of inverter output filter, weak/strong grid, cable length, and capacitor sizing on the harmonic resonance. The end goal is to examine the harmonic resonance by varying the system parameters and its harmful outcome, such as dangerous over voltage at the various buses. Finally a control strategy is proposed to mitigate the effect of harmonic resonance. It is expected that the future smart power grid will witness more share of solar PV, therefore, the harmonic resonance between grid elements and inverters will be a great issue of concern. In order the meet the objective of such grid, the delayed recognition of harmonics and resonance may lead to high cost solution.

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Harmonics; total harmonic distortion (THD); harmonic resonance; grid integrated solar PV; smart grid distribution system, C-Type passive filter.

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J. M. Carrasco et al., “Power-electronic systems for the grid integration of renewable energy sources: A Survey”, IEEE Trans. Ind. Electron., vol. 53, no. 4, pp. 1002-1016, Jun. 2006.

Kow Ken Weng et al., “Power Quality Analysis for PV Grid Connected System Using PSCAD/EMTDC”, Int. J. Renew. Energy Res. IJRER, vol. 5, no.1, pp. 121-132. 2015.

J. Rocabert et al., “Control of power converters in AC micro grids”, IEEE Trans. Power Electron., vol. 27, no.11, pp. 4734-4749, 2012.

Imen Ouerdani et al., “Harmonic Analysis of Pulse Width Modulation-Based Strategies for Modular Multilevel Converter,” Int. J. Renew. Energy Res. IJRER, vol. 6, no.3, pp. 838-846, 2016.

Paduchuri. Chandra Babu et al. “Analysis and experimental investigation for grid-connected 10 kW solar PV system in distribution networks,” IEEE International Conference on Renewable Energy Research and Applications (ICRERA), Birmingham (UK), Nov. 20-23, pp. 772-777, 2016.

J. Arrinda et al., “Analysis of massive integration of renewable power plants under new regulatory frameworks,” IEEE International Conference on Renewable Energy Research and Application (ICRERA), Milwaukee (USA), Oct. 19-22, pp. 462-467, 2014.

S. B. Kjaer, J. K. Pedersen, and F. Blaabjerg, “A review of single-phase grid-connected inverters for photovoltaic modules,” IEEE Trans. Ind. Appl., vol. 41, no. 5, pp. 1292-1306, Sep./Oct. 2005.

J.H.R. Enslin and P.J.M. Heskes, “Harmonic interaction between a large number of distributed power inverters and the distribution network”, IEEE Trans. Power Electron., vol. 19, no. 6, pp.1586-1593, 2004.

Haitao Hu et al., “Potential harmonic resonance impacts of PV inverter filters on distribution systems” IEEE Trans. on sustainable. Energy, vol. 6, no. 1, pp 151-161, Jan. 2015.

Wu Weimin, He Yuanbin, and F. Blaabjerg, “An LLCL power filter for single-phase grid-tied inverter,” IEEE Trans. Power Electron., vol. 27,no. 2, pp. 782–789, Feb. 2012.

J. Muhlethaler et al., “Optimal design of LCL harmonic filters for three-phase PFC rectifiers,” IEEE Trans. Power Electron., vol. 28, no. 7, pp. 3114-3125, July 2013.

Raimo Juntunen et al., “Identification of resonances in parallel connected grid inverters with LC- and LCL-filters”, IEEE conference pp. 2122-2127, 2015.

R. Dugan and B.W. Kennedy, “Harmonic problems resulting from customer capacitor additions for demand-side management,” IEEE Trans. Power Sys., vol. 10, no. 4, pp.1765–1771, 1995.

D. Detjen et al., “A new hybrid filter to dampen resonances and compensate harmonic currents in industrial power systems with power factor correction equipment,” IEEE Trans. Power Electron., vol. 16, no. 6, pp. 821-827, 2001.

R. SastryVedam and Mulukutla S. Sarma, Power Quality VAR compensation in power Systems, CRC Press: New York, 2008.

B. Singh, A. Chandra and K. Al-Haddad, Power Quality: Problems and Mitigation Techniques, John Wiley & Sons Ltd: U.K, 2015.

C. J. Chou, Y. K. Wu, G. Y. Han, and C. Y. Lee, “Comparative evaluation of the HVDC and HVAC links integrated in a large offshore wind farm: An actual case study in Taiwan,” IEEE Trans. Ind. Appl., vol. 48, no. 5, pp. 1639–1648, Sep./Oct. 2008.

C. C. Hsin and R. Bucknall, “Harmonic calculations of proximity effect on impedance characteristics in subsea power transmission cables,” IEEE Trans. Power Delivery., vol. 24, no. 4, pp. 2150–2158, Jul./Aug. 2009.

Nguyen Gia Minh Thao et al., “A comprehensive analysis study about harmonic resonances in megawatt grid-connected wind farms,” IEEE International Conference on Renewable Energy Research and Application (ICRERA), Milwaukee (USA), Oct. 19-22, pp. 387-394, 2014.

G. Lemieux, “Power system harmonic resonance -a documented case,” IEEE Trans. Ind. Appl., vol. 26, no. 3, pp. 483-488, 1990.

Megha Khatri and Atul Kumar, “Experimental Investigation of Harmonics in a Grid-Tied Solar Photovoltaic System”, Int. J. Renew. Energy Res. IJRER, vol.7, no.2, pp. 901-907, 2017.

A. D. B. Paice and M. Meyer, “Rail network modeling and stability: The input admittance criterion,” 14th Int. Symp. Math. Theory Netw. Syst., Perpignan, France, pp. 1–6. Jun. 2000,

E. Möllerstedt and B. Bernhardsson, “Out of control because of harmonics—An analysis of the harmonic response of an inverter locomotive,” IEEE Control Syst. Mag., vol. 20, no. 4, pp. 70-81, Aug. 2000.

M. Jansson, A. Danielsson, J. Gali´c, K. Pietiäinen, and L. Harnefors, “Stable and passive traction drives,” IEEE Nordic Power Ind. Electron. Conf., Trondheim, Norway, pp. 1-6, June 2004.

M. Cespedes and J. Sun, “Mitigation of inverter-grid harmonic resonance by narrow-band damping”, IEEE J Emerging and Selected Topics in Power Electron., vol. 2, no. 4, pp.1024-1031, 2014.

M. Cespedes and J. Sun, “Impedance modeling and analysis of grid connected voltage-source converters”, IEEE. Trans. Power Electron., vol. 29, no. 3, pp. 1254-1261, 2014.

M. Liserre, R.Teodorescu and F. Blaabjerg, “Stability of photovoltaic and wind turbine grid-connected inverters for a large set of grid impedance values,” IEEE Trans. Power Electron., vol.21, no.1, pp. 263–272, 2014.

W. Xu, “Component modeling issues for power quality assessment,” IEEE. Power Engineering Review, vol. 21, no. 11, pp.12-17, 2001.

M.H.J. Bollen, S. Mousavi-Gargari and S. Bahramirad, “Harmonic resonances due to transmission-system cables,” International Conference on Renewable Energies and Power Quality (ICREPQ’14) Cordoba (Spain), April 8-10, pp. 1-5, 2014.

R.H. Simpson, “Misapplication of power capacitors in distribution systems with nonlinear loads- three case histories,” IEEE Trans. Ind. Appl., vol. 41, no. 1, pp. 134-143, 2005.

M.J.E. Alam, K.M. Muttaqi and D. Sutanto, “A three-phase power flow approach for integrated 3-Wire MV and 4-Wire multi grounded LV networks with rooftop solar PV,” IEEE Trans. Power Syst., vol. 28, no. 2, pp. 1728-1737, 2013.

Y. Baghzouz, “Effects of nonlinear loads on optimal capacitor placement in radial feeders,” IEEE Trans. Power Deliv., vol. 6, no. 1, pp. 245- 251, 1991.

A. Robert and T. Deflandre, Guide for assessing the network harmonic impedance. 14th international conference and exhibition on electricity distribution: Part 1, CIRED New York, pp. 3.1–3.10, 2-5 June, 1997.

J.C. Das, Power System Analysis: Short-Circuit Load Flow and Harmonics, CRC Press, New York. 2011.

B. Palethoxpe , M. Sumner and D.W.P. Thomas, System impedance measurement for use with active filter control. IEE PEVD 2000, London UK, pp. 24-28, Sept 2000.

M.S. Hamad, K.H. Ahmed and A.I. Madi, “Current harmonics mitigation using a modular multilevel converter-based shunt active power filter,” IEEE International Conference on Renewable Energy Research and Applications (ICRERA), Birmingham (UK), Nov. 20-23, pp. 755-759, 2016.

Ahsan Shahid, “Power quality control in grid-interactive micro-power systems,” IEEE International Conference on Renewable Energy Research and Applications (ICRERA), Birmingham (UK), Nov. 20-23, pp. 966-970, 2016.

di Piazza et al., Estimation of load impedance in a power system. IEEE PES ICHQP 2000, Orlando USA, pp. 520-525, October 2000.

Xin Chen et al., “Impedance-Phased dynamic control method for grid-connected inverters in a weak grid,” IEEE Trans. on Power. Electro., vol. 32, no. 1, pp 274-283, Jan. 2017.

G. W. Chang et al., A study of passive harmonic filter planning for an AC microgrid, IEEE Power & Energy Society General Meeting, 26-30 July 2015.

K.N. MdHasanl et al., Harmonic resonances damping using hybrid filter for WPP, IECON 2012 - 38th Annual Conference on IEEE Industrial Electronics Society, pp. 1312-1319, 25-28 Oct. 2012.

Bhim Singh et al., Analysis and mitigation of parallel resonance in the distribution system, IEEE Industry Applications Society Annual Meeting, pp.1-6, 2015.

HaitaoHu , Zhengyou He , and ShibinGao, “Passive Filter Design for China High-Speed Railway With Considering Harmonic Resonance and Characteristic Harmonics,” IEEE Trans. on Power Deliv., vol. 30, no.1, pp. 505-514, Feb. 2015.

J.C. Das, Power System Harmonics and Passive Filter, John Wiley & Sons, Inc.: Hoboken, New Jersey, 2015.

Shady HossamEldeen Abdel Aleem et al. “C-Type passive filter based on minimization of the voltage harmonic distortion for nonlinear loads”, IEEE Trans. on Industr. Electro., vol. 59, no. 1, pp 281-289, January 2012.

E. F. Fuchs, and M. A. S. Masoum, Power Quality in Power Systems and Electrical Machines, Academic Press, Elsevier, 2008.

V. Ravi kumar Pandi, H. H. Zeineldin, and W. Xiao, “Allowable DG penetration level considering harmonic distortions,” IECON-2011, Melbourne, Australia, pp. 1–5, Nov 2011.

IEEE Standard 519–1992 IEEE Recommended Practice and Requirement for Harmonic Control in Electrical Power Systems. IEEE, 1993, ISBN 1– 55937–239–7.


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