Modeling and Control of PMSG-Based Variable-Speed Wind Turbine

  • Hee-Sang KoEmail author
Part of the Advances in Industrial Control book series (AIC)


This chapter presents a control scheme of a variable-speed wind turbine with a permanent-magnet synchronous-generator (PMSG) and full-scale back-to-back voltage source converter. A comprehensive dynamical model of the PMSG wind turbine and its control scheme is presented. The control scheme comprises both the wind-turbine control itself and the power-converter control. In addition, since the PMSG wind turbine is able to support actively the grid due to its capability to control independently active and reactive power production to the imposed set-values with taking into account its operating state and limits, this chapter presents the supervisory reactive-power control scheme in order to regulate/contribute the voltage at a remote location. The ability of the control scheme is assessed and discussed by means of simulations, based on a candidate site of the offshore wind farm in Jeju, Korea.


Permanent-magnetic synchronous generator Wind turbine Wind farm Variable speed Voltage control Point- of-common coupling 



Permanent magnetic synchronous generator




Transmission line




Infinite bus


Voltage source converter


Point-of-common coupling


Wind turbine

Sub-script: 1–5

Bus number

v, i

Voltage, current

Sub-scripts: d, q

Direct, quadratic axis in synchronous reference frame

R, L, C

Resistance, inductance, capacitance

\( \omega_{e} \)

Stator electrical angular speed of PMSG

\( \omega_{b} \)

Base angular speed in rad/sec

\( \omega_{r} \)

Generator rotational speed of PMSG

\( L_{s} \)

Stator leakage inductance of PMSG

\( \psi_{m} \)

Exciter flux of PMSG

\( \psi \)

Flux leakage of PMSG

\( P_{g}^{set} \)

Set-value for active power of grid-side controller of VSC

\( Q_{g}^{set} \)

Set-value for reactive power of grid-side controller of VSC

\( Q_{s}^{set} \)

Set-value for reactive power of generator-side controller of VSC

Sub-script: s

Stator quantity of PMSG and/or generator-side quantity of generator-side controller of VSC

Sub-script: g

Grid-side quantity of grid-side controller of VSC

Sub-script: b

Base quantity for per-unit

Sub-script: filt

Filter quantity of RL-filter

Sub-script: dc

Dc-link quantity of VSC

\( k_{p} ,\,\,k_{i} \)

Proportional and integral gain of PI controller



This work was conducted under the framework of Research and Development Program of the Korea Institute of Energy Research (KIER) (B4-2453-02)*.


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Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  1. 1.Wind Energy LaboratoryKorea Institute of Energy ResearchDaejeonKorea

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