Stabilizing Microgrid Frequency by Linear Controller Design to Increase Dynamic Response of Diesel Generator Frequency Control Loop

Document Type: Research paper


1 Electrical Engineering, Department , Shahid Sattari Aeronautical University of Science and Technology, Tehran, Iran.

2 Electrical Engineering Department,Iran uinversity of scincse and Thechnology, Tehran, Iran.


In this paper, a distributed generation including diesel generators, wind turbines, and microturbines are introduced, and their mathematical model is described using the Taylor expansion method. With the goal of computational complexity eliminating, the reduced order model (ROM) of microgrid components is considered. The results of the ‌‌studies indicate that the microgrid frequency is unstable. The main purpose of this paper is stabilizing the frequency of the microgrid by design modified linear controller. It is shown that the using proposed linear controller increases the dynamic response of the diesel generator and therefore can be constituted stable microgrid. The results show that the diesel generator can control the frequency of the microgrid in unwanted islanding and load change conditions. To verify the validity and feasibility of the proposed controller, several simulations results have been presented on MATLAB/Simulink software. The simulation results show the appropriate performance of the proposed controller for example in islanding mode, frequency restoration time is less than 1 (s) by using the proposed controller, as a result, the microgrid can be exploited in island mode.


[1]    T. Alharbi and K. Bhattacharya, “Optimal scheduling of energy resources and management of loads in isolated/islanded microgrids,” Can. J. Electr. Comput. Eng., vol. 40, no. 4, pp. 284-294, 2017.

[2]    M. Allahnoori, Sh. Kazemi, H. Abdi and R. Keyhani, “Reliability assessment of distribution systems in presence of microgrids considering uncertainty in generation and load demand”, J. Oper. Autom. Power Eng., vol. 2, no. 2, pp. 113-120, 2014.

[3]    T. Adefarati and R. C. Bansal, “Integration of renewable distributed generators into the distribution system: a review,” IET Renew. Power Gener., vol. 10, no. 7, pp. 873-884, 2016.

[4]    V. Krishnamurthy and A. Kwasinski, “effects of power electronics, energy storage, power distribution architecture, and lifeline dependencies on microgrid resiliency during extreme events,” IEEE J. Emerging Sel. Top. Power Electron., vol. 4, no. 4, pp. 1310-1323, 2016.

[5]    P. Ivanova, O. Linkevics and A. Sauhats, “Cost — benefit analysis of CHP plants taking into account air cooling technologies,” Proce. IEEE Int. Conf. Environ.   Electr. Eng. Ind. Commer. Power Syst. Eur., Milan, 2017, pp. 1-6.

[6]    N. Nguyen-Hong, H. Nguyen-Duc and Y. Nakanishi, “Optimal sizing of energy storage devices in isolated wind-diesel systems considering load growth uncertainty,” IEEE Trans. Ind. Appl., vol. 54, no. 3, pp. 1983-1991, 2018.


[7]    T. Chakraborty, D. Watson and M. Rodgers, “Automatic generation control using an energy storage system in a wind park,” IEEE Trans. Power Syst., vol. 33, no. 1, pp. 198-205, Jan. 2018.

[8]    A. Nisar and M. S. Thomas, “Comprehensive control for microgrid autonomous operation with demand response,” IEEE Trans. Smart Grid, vol. 8, no. 5, pp. 2081-2089, 2017.

[9]    B. V. Solanki, A. Raghurajan, K. Bhattacharya and C. A. Cañizares, “Including smart loads for optimal demand response in integrated energy management systems for isolated microgrids,” IEEE Trans. Smart Grid, vol. 8, no. 4, pp. 1739-1748, 2017.

[10]  S. Bourbour and F. Shahnia, “Impact of the weightings of different criteria in selecting the suitable microgrids when forming a system of coupled microgrids,” Proce2016 IEEE Innovative Smart Grid Technol. Asia. , Melbourne, VIC, 2016, pp. 1151-1156.

[11]  S. Bourbour, F. Shahnia and A. Ghosh, “Selection of a suitable microgrid to couple with an overloaded neighboring microgrid based on decision making,” Proce. 2015 North Am. Power Symp. (NAPS), Charlotte, NC, 2015, pp. 1-6.

[12]  J. Tautz-Weinert and S. J. Watson, “Using SCADA data for wind turbine condition monitoring – a review,” IET Renew. Power Gener., vol. 11, no. 4, pp. 382-394, 2017

[13]  M. Liserre, R. Cardenas, M. Molinas and J. Rodriguez, “Overview of multi-mw wind turbines and wind parks,”, IEEE Trans. Ind. Electron., vol. 58, no. 4, pp. 1081-1095, 2011.

[14]  J. Chen, T. Lin, C. Wen and Y. Song, “Design of a unified power controller for variable-speed fixed-pitch wind energy conversion system,” IEEE Trans. Ind. Electron., vol. 63, no. 8, pp. 4899-4908, 2016.

[15]  X. Xu, K. Li, H. Jia and Y. Guo, “Interactions between gas networks and microgrids through microturbines,” Proce. IEEE Power Energy Soc. Gene. Meeting, Chicago, IL, 2017, pp. 1-5.

[16]  A. K. Barik and D. C. Das, “Expeditious frequency control of solar photovoltaic/biogas/biodiesel generator based isolated renewable microgrid using grasshopper optimisation algorithm,” IET Renew. Power Gener., vol. 12, no. 14, pp. 1659-1667, 2018

[17]  K. Kant, C. Jain and B. Singh, “A hybrid diesel-wind­pv-based energy generation system with brushless generators,” IEEE Trans. Ind. Inf., vol. 13, no. 4, pp. 1714-1722, 2017.

[18]  T. Lukasievicz, R. V. de Oliveira and G. G. Dranka, “Control of an islanded wind-diesel microgrid with high penetration level of wind generation,” Proce. IEEE Power  Energy Soc. Gener. Meeting, Denver, CO, 2015, pp. 1-5.

[19]  M. Ross, R. Hidalgo, C. Abbey and G. Joos, “Energy storage system scheduling for an isolated microgrid,” IET Renew. Power Gener., vol. 5, no. 2, pp. 117-123, 2011.

[20]  R. Ghanizadeh, M. Ebadian, G. B. Gharehpetian, “Control of inverter-interfaced distributed generation units for voltage and current harmonics compensation in grid connected microgrids”, J. Oper. Autom. Power Eng., vol. 4, no. 1, pp. 66-82 , 2016 .

[21]  H. Gao, Y. Chen, Y. Xu and C. C. Liu, “Dynamic load shedding for an islanded micro grid with limited generation resources,” IET Gener. Transm. Distrib., vol. 10, no. 12, pp. 2953-2961, 2016.

[22]  Y. Y. Hong, M. C. Hsiao, Y. R. Chang, Y. D. Lee and H. C. Huang, “Multiscenario underfrequency load shedding in a microgrid consisting of intermittent renewables,” IEEE Trans. Power Delivery, vol. 28, no. 3, pp. 1610-1617, 2013.

[23]  L. Wang and G. Z. Zheng, “Analysis of a microturbine generator system connected to a distribution system through power-electronics converters,” IEEE Trans. Sustain Energy, vol. 2, no. 2, pp. 159-166, 2011.

[24]  Paul C. Krause; Oleg Wasynczuk; Scott D. Sudhoff, “Linearized Machine Equations,” Anal. Electr. Machinery Drive Syst., 1, Wiley-IEEE Press, 2002, pp.311-336

[25]  Z. Zhu, G. Geng and Q. Jiang, “Power system dynamic model reduction based on extended krylov subspace method,” IEEE Trans. Power Syst., vol. 31, no. 6, pp. 4483-4494, 2016.

[26]  S. K. Yee, J. V. Milanovic and F. M. Hughes, “Overview and comparative analysis of gas turbine models for system stability studies,” IEEE Trans. Power Syst., vol. 23, no. 1, pp. 108-118, 2008.

[27]  E. R. Samuel, L. Knockaert and T. Dhaene, “Model order reduction of time-delay systems using a laguerre expansion technique,” IEEE Trans. Circuits Syst I: Regul. Pap., vol. 61, no. 6, pp. 1815-1823, 2014.

[28]  IEEE Recommended Practice for Excitation System “Models for Power System Stability Studies,” IEEE Std 421.5-2016 (Revision of IEEE Std 421.5-2005) , vol., no., pp.1-207, 26 2016.

[29]  IEEE Draft Guide for “Design, operation, and integration of distributed resource island systems with electric power systems,” IEEE P1547.4/D11, , vol., no., pp.1-55,2011.

[30]  R. Torquato, T. R. Ricciardi, D. Salles, T. Barbosa and H. F. F. Costa, “Review of international guides for the interconnection of distributed generation into low voltage distribution networks,” Proce. IEEE Power Energy Soc. Gen. Meeting, San Diego, CA, pp. 1-6 , 2012.

[31]  H. Gündüz, Ş. Sönmez and S. Ayasun, “Comprehensive gain and phase margins based stability analysis of micro-grid frequency control system with constant communication time delays,” IET Gener. Transm. Distrib., vol. 11, no. 3, pp. 719-729, 2017.

[32]  L. K. Wong and T. K. Man, “Small signal modelling of open-loop SEPIC converters,” IET Power Electron., vol. 3, no. 6, pp. 858-868, 2010.

Volume 7, Issue 2
Summer and Autumn 2019
Pages 216-226
  • Receive Date: 14 November 2018
  • Revise Date: 18 December 2018
  • Accept Date: 13 February 2019