A Linear Inertial Response Emulation for Variable Speed Wind Turbines

Rasoul Azizipanah-Abarghooee, Mostafa Malekpour, Tomislav Dragičević, Frede Blaabjerg, Vladimir Terzija

Research output: Contribution to journalArticlepeer-review

17 Citations (Scopus)


A torque limit-based (TLB) method was proposed in literature in order to emulate inertial response of variable speed wind turbines (VSWTs). In this paper, this conventional TLB scheme is firstly modified by considering a finite ramp rate for inertial power of the VSWT. It is exposed that the maximum values of the VSWT's inertial power and kinetic energy released by its rotor have a non-linear relationship with its operation point. Then, a linear TLB scheme is proposed to make the inertia emulation more flexible by customizing its key parameters based on the VSWT's operating point. Accordingly, the released kinetic energy and power ramp rate can be selected in proportion of the VSWT's power, rotor speed and/or its reserved kinetic energy. The derived scheme offers a significant reduction of the mechanical tensions on the turbine compared to the conventional one. In addition, when the parameters of the proposed strategy is designed according to the VSWT's power, the inertial response of the corresponding wind farm can be exactly estimated only by deploying its total generation, regardless of its wind turbines' installed capacities and operating points. Furthermore, a new approach is projected to estimate the VSWT's inertial response during the deceleration period using an analytical closed-form function. This facilitates large scale system studies. Finally, the efficiency of derived linear inertia emulation is evaluated through a typical grid with various levels of the wind power penetration.

Original languageEnglish
Article number8824117
Pages (from-to)1198-1208
Number of pages11
JournalIEEE Transactions on Power Systems
Issue number2
Publication statusPublished - Mar 2020
Externally publishedYes


  • Frequency support
  • inertial response estimation
  • linear inertia emulation
  • torque limit
  • variable speed wind turbines


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