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Analysis, design, and experimental evaluation of power calculation in digital droop-controlled parallel microgrid inverters

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Abstract

Parallel operation of distributed generation is an important topic for microgrids, which can provide a highly reliable electric supply service and good power quality to end customers when the utility is unavailable. However, there is a well-known limitation: the power sharing accuracy between distributed generators in a parallel operation. Frequency and voltage droop is a well-established control method for improving power sharing performance. In this method, the active and reactive power calculations are used to adjust the frequency and amplitude of the output voltage. This paper describes the digital implementation of a droop method, and analyzes the influence of power calculation on droop method performance. According to the analysis, the performance of droop control in a digital control system is limited by the accuracy and speed of the power calculation method. We propose an improved power calculation method based on p-q theory to improve the performance of the droop control method, and we compare our new method with two traditional power calculation methods. Finally, simulation results and experimental results from a three single-phase 1-kW-inverter system are presented, which validate the performance of our proposed method.

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References

  • Afonso, J.L., Freitas, M.J.S., Martins, J.S., 2003. p-q Theory Power Components Calculations. IEEE Int. Symp. on Industrial Electronics, 1:385–390. [doi:10.1109/ISIE.2003.1267279]

    Google Scholar 

  • Ahn, S.J., Park, J.W., Chung I.Y., Moon S.I., Kang, S.H., Nam, S.R., 2010. Power-sharing method of multiple distributed generators considering control modes and configurations of a microgrid. IEEE Trans. Power Del., 25(3):2007–2016. [doi:10.1109/TPWRD.2010.2047736]

    Article  Google Scholar 

  • Aredes, M., Akagi, H., Watanabe, E.H., Vergara Salgado, E., Encarnacao, L.F., 2009. Comparisons between the p-q and p-q-r theories in three-phase four-wire systems. IEEE Trans. Power Electr., 24(3–4):924–933. [doi:10.1109/TPEL.2008.2008187]

    Article  Google Scholar 

  • Barklund, E., Pogaku, N., Prodanovic, M., Hernandez-Aramburo, C., Green, T.C., 2008. Energy management in autonomous microgrid using stability constrained droop control of inverters. IEEE Trans. Power Electr., 23(5): 2346–2352. [doi:10.1109/TPEL.2008.2001910]

    Article  Google Scholar 

  • Chiang, S.J., Yen, C.Y., Chang, K.T., 2001. A multimodule parallelable series-connected PWM voltage regulator. IEEE Trans. Ind. Electr., 48(3):506–517. [doi:10.1109/41.925577]

    Article  Google Scholar 

  • Chung, I.Y., Liu, W., Cartes, D.A., Collins, E.G., Moon S.I., 2010. Control methods of inverter-interfaced distributed generators in a microgrid system. IEEE Trans. Ind. Appl., 46(3):1078–1088. [doi:10.1109/TIA.2010.2044970]

    Article  Google Scholar 

  • de Brabandere, K., Bolsens, B., van den Keybus, J., Woyte, A., Driesen, J., Belmans, R., 2007. A voltage and frequency droop control method for parallel inverters. IEEE Trans. Power Electr., 22(4):1107–1115. [doi:10.1109/TPEL.2007.900456]

    Article  Google Scholar 

  • Diaz, G., Gonzalez-Moran, C., Gomez-Aleixandre, J., Diez, A., 2010. Scheduling of droop coefficients for frequency and voltage regulation in isolated microgrids. IEEE Trans. Power Syst., 25(1):489–496. [doi:10.1109/TPWRS.2009.2030425]

    Article  Google Scholar 

  • Golestan, S., Joorabian, M., Rastegar, H., Roshan, A., Guerrero, J.M., 2009. Droop Based Control of Parallel-Connected Single-Phase Inverters in d-q Rotating Frame. IEEE Int. Conf. Industrial Technology, p.1–6. [doi:10.1109/ICIT.2009.4939564]

  • Guerrero, J.M., de Vicuna, L.G., Matas, J., Castilla, M., Miret, J., 2004. A wireless controller to enhance dynamic performance of parallel inverters in distributed generation systems. IEEE Trans. Power Electr., 19(5):1205–1213. [doi:10.1109/TPEL.2004.833451]

    Article  Google Scholar 

  • Guerrero, J.M., Garciade Vicuna, L., Matas, J., Castilla, M., Miret, J., 2005. Output impedance design of parallel-connected UPS inverters with wireless load-sharing control. IEEE Trans. Ind. Electr., 52(4):1126–1136. [doi:10.1109/TIE.2005.851634]

    Article  Google Scholar 

  • Guerrero, J.M., Matas, J., de Vicuna, L.G., Castilla, M., Miret, J., 2006. Wireless-control strategy for parallel operation of distributed generation inverters. IEEE Trans. Ind. Electr., 53(5):1461–1470. [doi:10.1109/TIE.2006.882015]

    Article  Google Scholar 

  • Guerrero, J.M., Hang, L., Uceda, J., 2008. Control of distributed uninterruptible power supply systems. IEEE Trans. Ind. Electr., 55(8):2845–2860. [doi:10.1109/TIE.2008.924173]

    Article  Google Scholar 

  • Guerrero, J.M., Vasquez, J.C., Matas, J., Castilla, M., de Vicuna, L.G., 2009. Control strategy for flexible microgrid based on parallel line-interactive UPS systems. IEEE Trans. Ind. Electr., 36(3):726–736. [doi:10.1109/TIE.2008.2009274]

    Article  Google Scholar 

  • Guerrero, J.M., Blaabjerg, F., Zhelev, T., Hemmes, K., Monmasson, E., Jemei, S., Comech, M.P., Granadino, R., Frau, J.I., 2010. Distributed generation: toward a new energy paradigm. IEEE Ind. Electr. Mag., 4(1):52–64. [doi:10.1109/MIE.2010.935862]

    Article  Google Scholar 

  • Hasanzadeh, A., Onar, O.C., Mokhtari, H., Khaligh, A., 2010. A proportional-resonant controller-based wireless control strategy with a reduced number of sensors for parallel-operated UPSs. IEEE Trans. Power Del., 25(1):468–478. [doi:10.1109/TPWRD.2009.2034911]

    Article  Google Scholar 

  • Hatziargyriou, N., Asano, H., Iravani, R., Marnay, C., 2007. Microgrids. IEEE Power Energy Mag., 5(4):78–94. [doi:10.1109/MPAE.2007.376583]

    Article  Google Scholar 

  • He, J., Li, Y.W., 2011. Analysis, design, and implementation of virtual impedance for power electronics interfaced distributed generation. IEEE Trans. Ind. Appl., 47(6):2525–2539. [doi:10.1109/TIA.2011.2168592]

    Article  Google Scholar 

  • Kroposki, B., Lasseter, R., Ise, T., Morozumi, S., Papatlianassiou, S., Hatziargyriou, N., 2008. Making microgrids work. IEEE Power Energy Mag., 6(3):40–53. [doi:10.1109/MPE.2008.918718]

    Article  Google Scholar 

  • Li, Y.W., Kao, C.N., 2009. An accurate power control strategy for power-electronics-interfaced distributed generation units operating in a low-voltage multi-bus microgrid. IEEE Trans. Power Electr., 24(12):2977–2988. [doi:10.1109/TPEL.2009.2022828]

    Article  Google Scholar 

  • Majumder, R., Chaudhuri, B., Ghosh, A., Majumder, R., Ledwich, G., Zare, F., 2010. Improvement of stability and load sharing in an autonomous microgrid using supplementary droop control loop. IEEE Trans. Power Syst., 25(2):796–808. [doi:10.1109/TPWRS.2009.2032049]

    Article  Google Scholar 

  • Marwali, M.N., Jung, J.W., Keyhani, A., 2004. Control of distributed generation systems-part II: load sharing control. IEEE Trans. Power Electr., 19(6):1551–1561. [doi:10.1109/TPEL.2004.836634]

    Article  Google Scholar 

  • Matas, J., Castilla, M., de Vicuña, L.G., Miret, J., Vasquez, J.C., 2010. Virtual impedance loop for droop-controlled single-phase parallel inverters using a second-order general-integrator scheme. IEEE Trans. Power Electr., 25(12): 2993–3003. [doi:10.1109/TPEL.2010.2082003]

    Article  Google Scholar 

  • Mohamed, Y., El-Saadany, E.F., 2008. Adaptive decentralized droop controller to preserve power sharing stability of paralleled inverters in distributed generation microgrids. IEEE Trans. Power Electr., 23(6):2806–2816. [doi:10.1109/TPEL.2008.2005100]

    Article  Google Scholar 

  • Oliveira da Silva, S.A., Novochadlo, R., Modesto, R.A., 2008. Single-Phase PLL Structure Using Modified p-q Theory for Utility Connected Systems. IEEE Power Electronics Specialists Conf., p.4706–4711. [doi:10.1109/PESC.2008.4592712]

  • Ren, Z., Gao, M., Mo, Q., Liu, K., Yao, W., Chen, M., Qian, Z., 2010. Power Calculation Method Used in Wireless Parallel Inverters under Nonlinear Load Conditions. 25th Annual IEEE Conf. and Expo. on Applied Power Electronics, p.1674–1677. [doi:10.1109/APEC.2010.5433456]

  • Rokrok, E., Golshan, M.E.H., 2010. Adaptive voltage droop scheme for voltage source converters in an islanded multibus microgrid. IET Gener. Transm. Distr., 4(5):562–578. [doi:10.1049/iet-gtd.2009.0146]

    Article  Google Scholar 

  • Roslan, A.M., Ahmed, K.H., Finney, S.J., Williams, B.W., 2011. Improved instantaneous average current-sharing control scheme for parallel-connected inverter considering line impedance impact in microgrid networks. IEEE Trans. Power Electr., 26(3):702–716. [doi:10.1109/TPEL.2010.2102775]

    Article  Google Scholar 

  • Sun, X., Lee, Y.S., Xu, D., 2003. Modeling, analysis, and implementation of parallel multi-inverter systems with instantaneous average current sharing scheme. IEEE Trans. Power Electr., 18(3):844–856. [doi:10.1109/TPEL.2003.810867]

    Article  Google Scholar 

  • Yang, S.Y., Zhang, C.W., Zhang, X., Cao, R.X., Shen, W.X., 2006. Study on the Control Strategy for Parallel Operation of Inverters Based on Adaptive Droop Method. IEEE Conf. on Industrial Electronics and Applications, p.1–5. [doi:10.1109/ICIEA.2006.257292]

  • Yao, W., Gao, M., Ren, Z., Chen, M., Qian, Z., 2010. Study on the Impact of the Complex Impedance on the Droop Control Method for the Parallel Inverters. Applied Power Electronics Conf. and Expo., p.1204–1208. [doi:10.1109/APEC.2010.5433348]

  • Yao, W., Chen, M., Matas, J., Guerrero, J.M., Qian, Z., 2011. Design and analysis of the droop control method for parallel inverters considering the impact of the complex impedance on the power sharing. IEEE Trans. Ind. Electr., 58(2):576–588. [doi:10.1109/TIE.2010.2046001]

    Article  Google Scholar 

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Correspondence to Min Chen.

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Project (No. 51107116) supported by the National Nature Science Foundation of China

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Gao, Mz., Chen, M., Jin, C. et al. Analysis, design, and experimental evaluation of power calculation in digital droop-controlled parallel microgrid inverters. J. Zhejiang Univ. - Sci. C 14, 50–64 (2013). https://doi.org/10.1631/jzus.C1200236

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  • DOI: https://doi.org/10.1631/jzus.C1200236

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