In WECS : Gain values for conversion of PMSM rotor speed(rad/s) to p.u. input to wind turbine and Torque(pu) of WT to input of PMSM-Torque (Nm) ?

Naveen Kumar Thotakanama @Naveen-Thotakanama

04 August 2024 1 831 Report

I am working on developing a MATLAB Simulink model of Wind turbine with PMSG followed by MPPT Boost converter. I have gone through so many literature and videos but I am not finding clear solution of the following quires:

Rotor speed (rad/sec) of PMSG measurement is fed to Wind turbine as input but the block input is in( p.u.) i.e. Generator speed (p.u.). Most of the literature and videos indicate the conversion with a gain of certain value between 145 to 157 not mentioning how the value is achieved.

Torque (p.u.) : Output of Wind turbine is fed to PMSM (Torque in Nm) through a gain without a clear idea of what is the conversion process.

As per my understanding and doing reverse process I found that:

Assuming the No. of poles of PMSM is 4 and operating frequency is 50Hz.

the rotor rated speed is N = 120f/P = 120 x 50 /4 = 1500 rpm.

converting into rad/sec = 2*Pi*N/60 = 157.096 rad/sec. (This is what most of the literature and simulation files of Math-works are using irrespective of the No. of poles originally used in PMSM block).

Now coming to torque (p.u.) of Wind turbine feeding as input torque (N-m) to PMSM:

Assuming the power of 8.5kW or whatever specified and rotor rated speed wr =157.096 rad/sec.

The base torque is T = P/wr = 8500/157.096 = 54.1127 N-m

Multiplying this Torque value to convert output torque obtained from wind turbine Tm(p.u.) to feed as input to PMSM block.(Found in most of the literature and simulation files of Math-works files)

My doubt here is when I tried to follow the same, I am not getting the desired output power or results.

Kindly help me if I want to design a Wind conversion system of 10kW what should be the specifications of PMSM block.

Sebasthirani Kathalingam

The specification of PMSM MATLAB block in Wind Power conversion sysyem should include

Electrical Parameters-Rated Power, Rated Voltage Rated current ,Number of poles

Mechanical Parameters

Rotor inertia

Friction coefficient, Mechanical power

Control parameters

control strategy, PI controller

,Flux linkage

Wind turbine Parameters

rated wind speed turbine efficiency

cut in and cut out speed

Converter parameters

switching frequency

dc link voltage

converter efficiency

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