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PLECS

DEMO MODEL

Windpower System with Permanent Magnet Synchronous

Generator

Last updated in PLECS 4.4.1

Windpower System with Permanent Magnet Synchronous Generator

1 Overview

This demonstration shows a 2 MW wind power system with a permanent-magnet synchronous gener-ator (PMSG), where the interaction between the electrical circuit and the mechanical drivetrain dur-ing normal operation, including fault conditions, is investigated. The PLECS thermal and mechanicalphysical domains are also integrated into the model. A schematic of the system overview is given inFig. 1.

PMSG

YdTrafo10kVGridC

BA

InverterControl

GridVSI

StatorVSI

ω_r θ_r V_CfI_f E_f

V

V_dcI_s

DCProtection

BrakeChopper

AmbientTemp.T:25

12

WindSpeed

Rotor

Figure 1: System overview

Note This model contains model initialization commands that are accessible from:

PLECS Standalone: The menu Simulation + Simulation Parameters... + Initializations

PLECS Blockset: Right click in the Simulink model window + Model Properties + Callbacks +InitFcn*

2 Model

2.1 Power circuit

The electrical power circuit includes a PMSG with pole pair number of 30. The stator is directly con-nected to a three-level neutral-point clamped (NPC) back-to-back converter, with the detailed NPCconverter model shown in Fig. 2. The grid-side of the converter is connected to a step-up star-deltatransformer, which feeds the generated power into the 10 kV medium voltage network.

2.2 Mechanical Drivetrain

The machine’s rotor is directly connected to the hub and blades of the propeller without a gearbox,which together make up the mechanical part of the wind turbine, as shown in Fig. 3. They are cou-pled elastically with each other, which introduces resonant oscillations into the system. The value ofthe wind torque applied on the turbine blades comes from a look-up table, where the value varies withthe wind and shaft rotation speeds.

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Windpower System with Permanent Magnet Synchronous Generator

Vαβ*

f(u)

f(u)

f(u)

f(u)

f(u)

f(u)

f(u)

f(u)

f(u)

f(u)

f(u)

f(u)

inhibit

V

3-LevelSVPWM

swvdc

Vαβ*

abc

Figure 2: Three-level NPC converter overview including the space-vector PWM block

J_blade1

J_hubd_hb1

k_hb1

D_blade1

J_blade2

d_hb2

k_hb2

D_blade2

J_blade3

d_hb3

k_hb3

D_blade3

T_blade2

T_blade1

T_blade3

D_hubω

Windpowermodel

shaftspeed

windspeedTw

Wind

d_hg

k_hg

mech

ωθ

Theta_r

Omega_r

Figure 3: Mechanical shaft model of the wind turbine including the wind/shaft speed to torque con-version

2.3 Control

The back-to-back converter comprises separate machine-side and grid-side portions, which are con-nected with each other via two DC-link capacitors with a mid-point connection. The machine-side con-verter regulates the torque of the PMSG and the rotational speed with a double loop structure, wherethe outer speed loop generates the reference signal for the inner current loop, as shown in Fig. 4. Thecurrent control is carried out in a rotating reference frame (dq) with stator flux orientation. The grid-side converter transfers the active power from the machine-side converter into the grid through anLCL filter, and maintains the DC-link voltage at 1500 V. The methods of active damping, feed forwardand integrator anti-windup are adopted for the PI controllers. The converters operate using 3-levelspace-vector pulse-width modulation (SVPWM).

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Windpower System with Permanent Magnet Synchronous Generator

OmegaVαβ*

Theta

Measurementstransformation

psi

w

thetaTheta

Omega

I

I_dq d-axiscurrentcontroller

V_d*

w

I_dq

I_d*

q-axiscurrentcontroller

V_q*w

I_dq

I_q*

psi

Voltagetransformation

Vαβ*theta_s

V_dq*

Speedcontroller

w_r

Omega_r*

I_Rq*psi_s

I

0I_d*

Omega*

Figure 4: Cascaded speed/current control for one of the back-to-back NPC converters

2.4 Thermal

The converter model can be simulated in either an Averaged model or a Switched model with ther-mal configuration. With the averaged converter model there is no loss analysis implemented as the in-formation about switching losses is missing. In the switched model the conduction losses and switch-ing losses of the IGBTs, as well as the effect of the cooling system, can be investigated. Thermal mod-els for the 5SNA 3600E170300 and 5SLA3600E170300 IGBT and anti parallel diode packages areused for the machine-side and grid-side converters, respectively. Included with the look-up tablesfor power losses is the thermal impedance chain information from the device junction to the case,which was also supplied by the data sheets. These descriptions can be viewed and edited by double-clicking on the converter component symbol and selecting Edit... from the drop-down menu of theThermal description parameter. The thermal descriptions for the IGBTs are stored in the directorywind_power_system_pmsg_plecs that is packaged with this demo model.

Note Because of speed limitations the PLECS Blockset version of this demo model uses the averageconverter configuration by default.

3 Simulation

The simulation shows a complete system operation under a grid fault condition. There are severalevents:

• As the simulation starts up the PMSG operates at synchronous speed.• Shortly after the system enters the new balanced state, a voltage sag occurs on the 10 kV stiff net-

work at t = 4 s, as shown in Fig. 5. This fault is modeled as the t = 0.2 s voltage sag correspondingto the worst-case scenario as defined by the Germany Grid Code of 2007.

• As a result of the fault, a transient with high frequency oscillation in both the electrical and me-chanical systems can be observed.

• After the grid voltage recovers, the system returns to its steady state. This is indicated in Fig. 6,where the average active and reactive power is plotted.

• At t = 6 s, the speed reference signal then ramps up from 1.05 rad/s with an acceleration of0.004 rad/s

2.

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Windpower System with Permanent Magnet Synchronous Generator

Gridphasevoltages(V)

Gridphasecurrents(A)

DC-linkvoltage(V)

Voltage(V)

-2000

-1000

0

1000Current(A)

-4000-2000

020004000

Time(s)4.0 4.2 4.4 4.6 4.8

Voltage(V)

1000

1200

1400

1600

GridphaseAvoltageGridphaseBvoltageGridphaseCvoltage

GridphaseAcurrentGridphaseBcurrentGridphaseCcurrent

SetpointVm1:Measuredvoltage

Figure 5: System behavior during a voltage sag in a connected 10kV stiff grid

Windandgridactivepower[W]

Gridreactivepower[Var]

×1e6

Activepo

wer(W

)

-2

0

2

4

Time(s)0 2 4 6 8 10

×1e6

Rea

ctivepo

wer(V

ar)

0

2

StatoractivepowerRotoractivepower

Statorreactivepower

Figure 6: Wind and grid active power and grid reactive power

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Revision History:

PLECS 4.4.1 First release

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PLECS Demo Model

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