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Research Article

Dynamic performance of a Skystream wind turbine: A bond graph approach

, , , & | (Reviewing editor)
Article: 1709361 | Received 05 Nov 2019, Accepted 17 Dec 2019, Published online: 04 Jan 2020

Figures & data

Figure 1. Wind energy conversion system

Figure 1. Wind energy conversion system

Figure 2. Coefficient Cp versus λ

Figure 2. Coefficient Cp versus λ

Figure 3. PMSG scheme

Figure 3. PMSG scheme

Figure 4. Circuits of a PMSG on (d,q) axis

Figure 4. Circuits of a PMSG on (d,q) axis

Figure 5. Three-phase diode rectifier

Figure 5. Three-phase diode rectifier

Figure 6. Boost converter

Figure 6. Boost converter

Figure 7. Inverter circuit

Figure 7. Inverter circuit

Figure 8. A bond

Figure 8. A bond

Figure 9. Causal bond

Figure 9. Causal bond

Figure 10. Power sources

Figure 10. Power sources

Figure 11. Bond with resistance

Figure 11. Bond with resistance

Figure 12. Bond in integral causality for capacitance and inertance

Figure 12. Bond in integral causality for capacitance and inertance

Figure 13. Bond in derivative causality for capacitance and inertance

Figure 13. Bond in derivative causality for capacitance and inertance

Figure 14. Bonds for transformers and gyrators

Figure 14. Bonds for transformers and gyrators

Figure 15. 1 and 0 junctions

Figure 15. 1 and 0 junctions

Figure 16. Scheme of a bond graph

Figure 16. Scheme of a bond graph

Figure 17. Representation of the bonds; (a) Single bond; (b) Multibond

Figure 17. Representation of the bonds; (a) Single bond; (b) Multibond

Figure 18. Multibond graph with efforts and flows

Figure 18. Multibond graph with efforts and flows

Figure 19. Multibond graph elements

Figure 19. Multibond graph elements

Figure 20. Eulerian junction structure

Figure 20. Eulerian junction structure

Figure 21. Junction structure and key vectors of a multibond graph

Figure 21. Junction structure and key vectors of a multibond graph

Figure 22. Sections of a blade

Figure 22. Sections of a blade

Figure 23. Bond graph of a blade

Figure 23. Bond graph of a blade

Table 1. Technical specifications (Skystream, Citation2013)

Figure 24. PMSG bond graph

Figure 24. PMSG bond graph

Figure 25. PMSG multibond graph

Figure 25. PMSG multibond graph

Figure 26. HMBG of the rectifier

Figure 26. HMBG of the rectifier

Figure 27. Bond graph model of the boost converter

Figure 27. Bond graph model of the boost converter

Figure 28. Switching element models

Figure 28. Switching element models

Figure 29. Hybrid multibond graph model of a three-phase five level

Figure 29. Hybrid multibond graph model of a three-phase five level

Figure 30. Elements of the Skystream wind turbine

Figure 30. Elements of the Skystream wind turbine

Figure 31. Electrical power of the blades for the Skystream

Figure 31. Electrical power of the blades for the Skystream

Figure 32. Simulation results of PMSG: (a) Voltages on (d,q) axis; Electrical Currents on (d,q) axis; (c) Velocity and electrical currents on (a,b,c)

Figure 32. Simulation results of PMSG: (a) Voltages on (d,q) axis; Electrical Currents on (d,q) axis; (c) Velocity and electrical currents on (a,b,c)

Figure 33. Simulation results of the rectifier

Note that an almost constant output signal from the rectifier has been obtained.
Figure 33. Simulation results of the rectifier

Figure 34. Simulation results of the Boost converter and inverter

Note that the output voltage Vo(DC) ≅1.8 Vi(DC) due to D = 0.5. The boost converter is used to control the magnitude of the output voltage in order to supply a three-phase voltage of 127 V.
Figure 34. Simulation results of the Boost converter and inverter

Figure 35. Output voltages of the inverter

Figure 35. Output voltages of the inverter

Figure 36. Skystream ubicated at the University of Michoacan

Figure 36. Skystream ubicated at the University of Michoacan

Figure 37. Skystream power from real data and simulation

Figure 37. Skystream power from real data and simulation

Figure 38. Error analysis: (a) Absolute error; (b) Relative error

Figure 38. Error analysis: (a) Absolute error; (b) Relative error