Recently, renewable energy sources (RESs) have become a critical part of the electricity grid all over the
world to reduce fossil fuel usage and emissions. According to [1], renewable power capacity, including
hydropower, reach 2378 GW and 1246 without considering hydropower at the end of 2018. One of the
most spread types of RESs is wind energy generation systems (WEGSs) where its power capacity reaches
591 GW at the end of 2018. Different types of electrical generators are used with WEGSs such as squirrel
cage induction generator (SCIG), double fed induction generator (DFIG), wound rotor synchronous
generator (WRSG), and permanent magnet synchronous generator (PMSG).
The advantages of PMSG are: (i) it has low maintenance, (ii) its real and reactive power could be
completely controlled, (iii) it could be brushless and gearless, (iv) it operates under full-speed range, (v)
it has not power converter for the field, and (vi) it has high power density [2, 3]. Because of these
advantages, PMSG has the highest attention in the current market.
Wind speed produce kinetic energy due to wind turbine, is converted to variable frequency power via
PMSG. In direct driven PMSG, the gearbox is eliminated, and the generator is directly coupled to the
wind turbine system. The generated power is then transferred to the power system grid after
conversion to fixed frequency through AC-DC-AC converters, i.e., Machine-side Converter (MSC) and
Grid-side Converter (GSC). The first one is controlled to regulate generator output power and rotational
speed while the other achieves power factor control and dc-link voltage stability.
The traditional GS-VSC uses the double closed loop structure (outer loop of power and inner loop of
current) to determine the switching functions (Sa, Sb, and Sc) to control the AC voltage output and
current (power output) of the GS-VSC. However, parameters of the PI controller are sensitive to the
system parameters and it is difficult to tune PI parameters. In addition, the feedforward compensator
term affected by the circuit parameters is required to be decoupled in the traditional control strategy.
To overcome these issues, FCS-MPC based control strategy is proposed.
Finite control Set MPC (FCS-MPC) is commonly used for power converters control. Its concept is to
predict the response of the system for each switching state, then evaluating a cost function and the
switching state that provides minimum cost function will be taken as an optimum wherefore it is applied
for the next control cycle. FCS-MPC provides easy implementation and online optimization, so it is
applied in power and torque control of induction motors and grid power converters