Harmonic Compensation and Micro-Grid Voltage and Frequency Control Based on Power Proportional Distribution with Adaptive Virtual Impedance Method

Subject Areas : Renewable energy

Monir Kamali ¹ , Bahador Fani ² , Ghazanfar Shahgholian ³ , Gevork B. Gharehpetian ⁴ , Masoud Shafiee ⁵

1 - Department of Electrical Engineering- Najafabad Branch, Islamic Azad University, Najafabad, Iran
2 - Department of Electrical Engineering- Najafabad Branch, Islamic Azad University, Najafabad, Iran
3 - Smart Microgrid Research Center- Najafabad Branch, Islamic Azad University, Najafabad, Iran
4 - Department of Electrical Engineering- Amirkabir University of Technology, Tehran, Iran
5 - Department of Electrical Engineering- Amirkabir University of Technology, Tehran, Iran

Received: 2021-09-05 Accepted : 2021-12-31 Published : 2023-05-22

Keywords: Microgrid, voltage and frequency control, adaptive virtual impedance method, proportional power distribution,

Abstract :

Due to the different distances and complexity of micro-grids, the lines impedance varies between the feeders of the distributed generation and the loads. Therefore, conventional droop control method does not have good efficiency in power distribution between distributed generation (DG) units. Generally, due to simplification, the impedance of the lines is not considered in a complex. The stated conditions greatly reduce the accuracy and speed of the dynamic response of the control system. In this paper, harmonic compensation, voltage and frequency control of micro-grid with adaptive virtual impedance method based on proportional power distribution are presented. In the proposed method, reducing the error coefficient of active power and reactive power, control of voltage and currents’ harmonic in two modes of connection to the main grid and islanded, as well as voltage and frequency control for optimal operation of the micro-grid is presented. The proposed method, without the need to update the impedance information of the feeders, has the capability of optimal operation and power distribution under different operating conditions, taking into account the complex impedance. To validate, the proposed method is simulated in MATLAB/Simulink software environment and the results are presented along with stability and sensitivity analysis.

References:

[1] G. Shahgholian, K. Khani, M. Moazzami, "Frequency control in autanamous microgrid in the presence of DFIG based wind turbine", Journal of Intelligent Procedures in Electrical Technology, vol. 6, no. 23, pp. 3-12, Dec. 2015 (dor: 20.1001.1.23223871.1394.6.23.1.9) (in Persian).

[2] K. Allahdadi, I. Sadeghkhani, B. Fani, "Protection of converter-interfaced microgrids using modified short-time correlation transform", IEEE Systems Journal, vol. 14, no. 4, pp. 5172-5175, Dec. 2020 (doi: 10.1109/JSYST.2020.2975633).

[3] R. Shahedi, K. Sabahi, M. Tayana, A. Hajizadeh, "Self-tuning fuzzy PID controller for load frequency control in ac micro-grid with considering of input delay", Journal of Intelligent Procedures in Electrical Technology, Vol. 9, No. 35, pp. 19-26, Dec. 2019 (dor: dor/20.1001.1.23223871.1397.9.35.3.6) (in Persian).

[4] R. Sepehrzad, A. Mahmoodi, S.Y. Ghalebi, A.R. Moridi, A.R. Seifi, "Intelligent hierarchical energy and power management to control the voltage and frequency of micro-grids based on power uncertainties and communication latency", Electric Power Systems Research, vol. 202, Article Number: 107567, Jan. 2022 (doi: 10.1016/j.epsr.2021.107567).

[5] A. Chaouachi, R. M. Kamel, R. Andoulsi and K. Nagasaka, "Multiobjective intelligent energy management for a microgrid", IEEE Trans. on Industrial Electronics, vol. 60, no. 4, pp. 1688-1699, April 2013 (doi: 10.1109/TIE.2012.2188873) .

[6] I. Sadeghkhani, "Analysis of hybrid reference frame limiting strategy performance in the presence of secondary control of inverter based islanded microgrids", Journal of Intelligent Procedures in Electrical Technology, vol. 9, no. 33, pp. 3-14, June 2018 (dor: 20.1001.1.23223871.1397.9.33.1.0) (in Persian).

[7] J. Li, Y. Liu, L. Wu, "Optimal operation for community-based multi-party microgrid in grid-connected and islanded modes", IEEE Trans. on Smart Grid, vol. 9, no. 2, pp. 756-765, March 2018 (doi: 10.1109/TS­G.2016­.2564645).

[8] M. Brito, M. Alves, C. Canesin, "Microgrid system with emulated PV sources for parallel and intentional islanding operations", IEEE Latin America Transactions, vol. 18, no. 08, pp. 1462-1469, Aug. 2020 (doi: 10.1109/TLA.2020.9111683).

[9] J. Schiffer, T. Seel, J. Raisch, T. Sezi, "Voltage stability and reactive power sharing in inverter-based microgrids with consensus-based distributed voltage control", IEEE Trans. on Control Systems Technology, vol. 24, no. 1, pp. 96-109, Jan. 2016 (doi: 10.1109/TCST.2015.2420622).

[10] J.A.S. Neto, A.C.Z. De Souza, E.V. De Lorenci, T.P. Mendes, P.M.D.D. Santos, B.D.N. Nascimento, "Static voltage stability analysis of an islanded microgrid using energy function", IEEE Access, vol. 8, pp. 201005-201014, Nov. 2020 (doi: 10.1109/ACCESS.2020.3036107).

[11] H. M. Ibrahim, M.S. El Moursi, P. Huang, "Adaptive roles of islanded microgrid components for voltage and frequency transient responses enhancement", IEEE Trans. on Industrial Informatics, vol. 11, no. 6, pp. 1298-1312, Dec. 2015 (doi: 10.1109/TII.2015.2479580).

[12] M. Davari, Y.A.I. Mohamed, "Robust multi-objective control of VSC-based DC-voltage power port in hybrid AC/DC multi-terminal micro-grids", IEEE Trans. on Smart Grid, vol. 4, no. 3, pp. 1597-1612, Sept. 2013 (doi: 10.1109/TSG.2013.2249541).

[13] M. Shahraki, B. Fani, I. Sadeghkhani, “Virtual impedance‒based adaptive droop control to improve reactive power sharing for inverter-based microgrids”, Energy Engineering and Management, vol. 9, no. 1, pp. 26-35, June 2019 (doi: 10.22052/9.1.26).

[14] S. Sivaranjani, E. Agarwal, V. Gupta, P. Antsaklis, L. Xie, "Distributed mixed voltage angle and frequency droop control of microgrid interconnections with loss of distribution-PMU measurements", IEEE Open Access Journal of Power and Energy, vol. 8, pp. 45-56, 2021 (doi: 10.1109/OAJPE.2020.3047639).

[15] F. Luo, Y. M. Lai, K. H. Loo, C. K. Tse, X. Ruan, "A generalized droop-control scheme for decentralized control of inverter-interfaced microgrids", Proceeding of the IEEE/ISCAS, pp. 1320-1323, Beijing, China, May 2013 (doi: 10.1109/ISCAS.2013.6572097).

[16] K.U. Binu, S.J. Mija, E.P. Cheriyan, “Nonlinear analysis and estimation of the domain of attraction for a droop controlled microgrid system”, Electric Power Systems Research, vol. 204, Article Number: 107712, March 2022 (doi: 10.1016/j.epsr.2021.107712).

[17] A. Nazeri-Ardekani, A.A. Khodadoost-Arani, M.B. Menhaj, M. Karrari, "A smart fuzzy controller for microgrid frequency improvement using PSO algorithm considernig nonlinear conditions", Journal of Iranian Association of Electrical and Electronics Engineers, vol. 15, no. 3, pp. 71-81, Nov. 2018 (dor: 98.1000/1­735-71­52.1397.15.71.0.3.­1575.1610).

[18] G. Shahgholian, “A brief review on microgrids: Operation, applications, modeling, and control”, Internat­io­n­al Transactions on Electrical Energy Systems, vol. 31, no. 6, Artiacl Number. e12885, June 2021 (doi: 10.1002/2050-7038.12885).

[19] R. Majumder, B. Chaudhuri, A. Ghosh, R. Majumder, G. Ledwich, F. Zare, "Improvement of stability and load sharing in an autonomous microgrid using supplementary droop control loop", IEEE Trans. on Power Systems, vol. 25, no. 2, pp. 796-808, May 2010 (doi: 10.1109/TPWRS.2009.2032049).

[20] C. Li, S.K. Chaudhary, M. Savaghebi, J.C. Vasquez, J.M. Guerrero, "Power flow analysis for low-voltage ac and dc microgrids considering droop control and virtual impedance", IEEE Trans. on Smart Grid, vol. 8, no. 6, pp. 2754-2764, Nov. 2017 (doi: 10.1109/TSG.2016.2537402).

[21] X. Liang, C. Andalib-Bin-Karim, W. Li, M. Mitolo, M.N.S.K. Shabbir, "Adaptive virtual impedance-based reactive power sharing in virtual synchronous generator controlled microgrids", IEEE Trans. on Industry Applications, vol. 57, no. 1, pp. 46-60, Jan./Feb. 2021 (doi: 10.1109/TIA.2020.3039223).

[22] H. Sellamna, A. Massi Pavan, A. Mellit, Josep M. Guerrero, “An iterative adaptive virtual impedance loop for reactive power sharing in islanded meshed microgrids”, Sustainable Energy, Grids and Networks, vol. 24, Article Number: 100395, Dec. 2020 (doi: 10.1016/j.segan.2020.100395).

[23] Z. Peng et al., "Droop control strategy incorporating coupling compensation and virtual impedance for microgrid application", IEEE Trans. on Energy Conversion, vol. 34, no. 1, pp. 277-291, March 2019 (doi: 10.1109/TEC.2019.2892621).

[24] W. Deng, N. Dai, K.W. Lao, J.M. Guerrero, "A virtual-impedance droop control for accurate active power control and reactive power sharing using capacitive-coupling inverters", IEEE Trans. on Industry Applications, vol. 56, no. 6, pp. 6722-6733, Nov./Dec. 2020 (doi: 10.1109/TIA.2020.3012934).

[25] C. Blanco, F. Tardelli, D. Reigosa, P. Zanchetta, F. Briz, "Design of a cooperative voltage harmonic compensation strategy for islanded microgrids combining virtual admittance and repetitive controller", IEEE Trans. on Industry Applications, vol. 55, no. 1, pp. 680-688, Jan./Feb. 2019 (doi: 10.1109/TIA.2018­.286­86­9­1).

[26] A. Saim, A. Houari, M. Ait-Ahmed, M. Machmoum, J.M. Guerrero, “Active resonance damping and harmonics compensation in distributed generation based islanded microgrids”, Electric Power Systems Research, vol. 191, Article Number: 106900, Feb. 2021 (doi: 10.1016/j.epsr.2020.106900).

[27] F. Deng, A. Petucco, P. Mattavelli, X. Zhang, “An enhanced current sharing strategy for islanded ac microgrids based on adaptive virtual impedance regulation”, International Journal of Electrical Power and Energy Systems, vol. 134, Article Number: 107402, Jan. 2022 (doi: 10.1016/j.ijepes.2021.107402).

[28] Z. Wang, Y. Chen, X. Li, Y. Xu, W. Wu, S. Liao, H. Wang, S. Cao, "Adaptive harmonic impedance reshaping control strategy based on a consensus algorithm for harmonic sharing and power quality improv­eme­nt in microgrids with complex feeder networks", IEEE Trans. on Smart Grid, vol. 13, no. 1, pp. 47-57, Jan. 2022 (doi: 10.1109/TSG.2021.3112692).

[29] B. Liu, Z. Liu, J. Liu, R. An, H. Zheng, Y. Shi, "An adaptive virtual impedance control scheme based on small-AC-signal injection for unbalanced and harmonic power sharing in islanded microgrids", IEEE Trans. on Power Electronics, vol. 34, no. 12, pp. 12333-12355, Dec. 2019 (doi: 10.1109/TPEL.2019.2905588).

[30] H. Zhang, S. Kim, Q. Sun, J. Zhou, "Distributed adaptive virtual impedance control for accurate reactive power sharing based on consensus control in microgrids", IEEE Trans. on Smart Grid, vol. 8, no. 4, pp. 1749-1761, July 2017 (doi: 10.1109/TSG.2015.2506760) .

[31] H. Yu, M.A. Awal, H. Tu, Y. Du, S. Lukic, I. Husain, "A virtual impedance scheme for voltage harmonics suppression in virtual oscillator controlled islanded microgrids", Proceeding of the IEEE/APEC, pp. 609-615, New Orleans, LA, USA, March 2020 (doi: 10.1109/APEC39645.2020.9124469).

[32] X. Wu, C. Shen, R. Iravani, "Feasible range and optimal value of the virtual impedance for droop-based control of microgrids", IEEE Trans. on Smart Grid, vol. 8, no. 3, pp. 1242-1251, May 2017 (doi: 10.1109/TSG.2016.2519454).

[33] P. Huang, P. Vorobev, M. Al Hosani, J.L. Kirtley, K. Turitsyn, "Plug-and-play compliant control for inverter-based microgrids", IEEE Trans. on Power Systems, vol. 34, no. 4, pp. 2901-2913, July 2019 (doi: 10.1109/TPWRS.2019.2895081).

[34] R. Razi, H. Iman-Eini, M. Hamzeh, S. Bacha, "A novel extended impedance-power droop for accurate active and reactive power sharing in a multi-bus microgrid with complex impedances", IEEE Trans. on Smart Grid, vol. 11, no. 5, pp. 3795-3804, Sept. 2020 (doi: 10.1109/TSG.2020.2984486).

[35] R.J. Wai, Q.Q. Zhang, Y. Wang, "A novel voltage stabilization and power sharing control method based on virtual complex impedance for an off-grid microgrid", IEEE Trans. on Power Electronics, vol. 34, no. 2, pp. 1863-1880, Feb. 2019 (doi: 10.1109/TPEL.2018.2831673).

[36] T. Lee, P. Cheng, "Design of a new cooperative harmonic filtering strategy for distributed generation interface converters in an islanding network", IEEE Trans. on Power Electronics, vol. 22, no. 5, pp. 1919-1927, Sept. 2007 (doi: 10.1109/TPEL.2007.904200).

[37] S.A. Arefifar, Y.A.I. Mohamed, "Probabilistic optimal reactive power planning in distribution systems with renewable resources in grid-connected and islanded modes", IEEE Trans. on Industrial Electronics, vol. 61, no. 11, pp. 5830-5839, Nov. 2014 (doi: 10.1109/TIE.2014.2308144).

[38] B. Keyvani-Boroujeni, B. Fani, G. Shahgholian, H.H. Alhelou, "Virtual impedance-based droop control scheme to avoid power quality and stability problems in VSI-dominated microgrids", IEEE Access, vol. 9, pp. 144999-145011, Oct. 2021 (doi: 10.1109/ACCESS.2021.3122800).

[39] S. Kim, S. Hyon, C. Kim, “Distributed virtual negative-sequence impedance control for accurate imbalance power sharing in islanded microgrids”, Sustainable Energy, Grids and Networks, vol. 16, pp. 28-36, Dec. 2018 (doi: 10.1016/j.segan.2018.04.001).

[40] B.N. Alhasnawi, B.H. Jasim, B.E. Sedhom, "Distributed secondary consensus fault tolerant control method for voltage and frequency restoration and power sharing control in multi-agent microgrid”, International Journal of Electrical Power & Energy Systems, vol. 133, Article Number: 107251, Dec. 2021 (doi: 10.1016/j.ijepes.2021.107251).

[41] S. Eberlein, K. Rudion, “Small-signal stability modelling, sensitivity analysis and optimization of droop controlled inverters in LV microgrids”, International Journal of Electrical Power and Energy Systems, vol. 125, Article Number: 106404, Feb. 2021 (doi: 10.1016/j.ijepes.2020.106404).

[42] F. Zandi, B. Fani, A. Golsorkhi, “A visually driven nonlinear droop control for inverter-dominated islanded microgrids”, Electrical Engineering, vol. 102, pp. 1207–1222, 2020 (doi: 10.1007/s00202-020-00942-7).

[43] Y. Zhu, F. Zhuo, F. Wang, B. Liu, R. Gou, Y. Zhao, "A virtual impedance optimization method for reactive power sharing in networked microgrid", IEEE Trans. on Power Electronics, vol. 31, no. 4, pp. 2890-2904, April 2016 (doi: 10.1109/TPEL.2015.2450360).

[44] X. Zhang, Q.C. Zhong, W.L. Ming, "Stabilization of a cascaded dc converter system via adding a virtual adaptive parallel impedance to the input of the load converter", IEEE Trans. on Power Electronics, vol. 31, no. 3, pp. 1826-1832, March 2016 (doi: 10.1109/TPEL.2015.2469720).

[45] H.H. Huang, C.Y. Hsieh, J.Y. Liao, K.H. Chen, "Adaptive droop resistance technique for adaptive voltage positioning in boost DC–DC Converters", IEEE Trans. on Power Electronics, vol. 26, no. 7, pp. 1920-1932, July 2011 (doi: 10.1109/TPEL.2010.2095508).

[46] W. Meng, X. Wang, S. Liu, "Distributed load sharing of an inverter-based microgrid with reduced communication", IEEE Trans. on Smart Grid, vol. 9, no. 2, pp. 1354-1364, March 2018 (doi: 10.110­9/T­SG­.2­0­16.2587685).

[47] H. Akagi, E.H. Watanabe, M. Aredes, "Instantaneous power theory and applications to power conditioning", John Wiley and Sons, 2017.

[48] Y. Yan, D. Shi, D. Bian, B. Huang, Z. Yi, Z. Wang, "Small-signal stability analysis and performance evaluation of microgrids under distributed control", IEEE Trans. on Smart Grid, vol. 10, no. 5, pp. 4848-4858, Sept. 2019 (doi: 10.1109/TSG.2018.2869566).