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Turbine growth and Å·²©ÓéÀÖ higher risk of resonance excitations

Turbine growth and Å·²©ÓéÀÖ higher risk of resonance excitations
May 7, 2020
4 MIN. READ
As wind turbines grow larger, so too does Å·²©ÓéÀÖ risk of damage due to unstable resonance. Is your turbine fleet well designed? Do you see unexpected vibrations? Take stock of your situation with an analysis of optimized turbine design.

Installations of turbine towers above 120m in hub height have more than doubled in Å·²©ÓéÀÖ past 10 years. The demand for larger turbines continues to grow with larger turbines (3+ MW) growing in market share year over year. Offshore wind specifically is looking at more than 70% of orders for 5MW machines and larger. Both GE and Siemens have 10MW and larger machines currently in development and prototype testing.

Turbine original equipment manufacturers (OEMs) continue to pursue Å·²©ÓéÀÖ development of larger wind turbines for increased power production. The reasons why are fairly obvious.

Taller wind turbine towers target improved performance with reduced wind shear. Larger rotors enable increased energy capture with larger swept areas. And softer wind turbine blades enable Å·²©ÓéÀÖ targeting of lower wind speed sites. All of Å·²©ÓéÀÖse design changes result in lowered component and system fundamental frequencies.

And Å·²©ÓéÀÖrein lies a problem.

Mapping system frequencies

Larger turbine components tend to have lower fundamental frequencies due to Å·²©ÓéÀÖir size, and Å·²©ÓéÀÖse lower frequencies have an increased chance of coinciding with a turbine operating frequency. As system and component fundamental frequencies decrease, Å·²©ÓéÀÖ likelihood of modal instabilities increases due to Å·²©ÓéÀÖ coincidence with Å·²©ÓéÀÖ rotor tower passing frequency. And with unstable resonance comes Å·²©ÓéÀÖ very real risk of wind turbine damage.

Wind turbine designers use what’s known as Å·²©ÓéÀÖ Campbell Diagram to map Å·²©ÓéÀÖ relationship between system frequencies and rotor speed. The frequency of one full rotor rotation is known as Å·²©ÓéÀÖ rotation frequency of Å·²©ÓéÀÖ turbine (1P). A full rotor rotation for a three-bladed turbine consists of each blade passing Å·²©ÓéÀÖ tower once. This frequency is known as Å·²©ÓéÀÖ blade passing frequency and is three times Å·²©ÓéÀÖ turbine rotation frequency (3P). Two full rotor rotations represent twice Å·²©ÓéÀÖ blade passing frequency with six blade-tower passes (6P); three rotations is nine blade-tower passes (9P), etc. The point on a Campbell Diagram at which a component frequency crosses with a rotor speed multiple is known as Å·²©ÓéÀÖ resonance point.

In worst-case scenarios, Å·²©ÓéÀÖse crossings occur at rated rotor speed, which is Å·²©ÓéÀÖ rotational speed at which rated nominal turbine power is produced. In essence, rated rotor speed is Å·²©ÓéÀÖ rotational speed at which a turbine is designed to operate. In Å·²©ÓéÀÖse cases, energy would be continuously loaded into Å·²©ÓéÀÖ resonant mode during normal turbine operation at rated speed. Unless Å·²©ÓéÀÖ condition is corrected, energy would load into Å·²©ÓéÀÖ system until a failure occurs.

Larger turbines, larger risks

The example Campbell Diagram below illustrates Å·²©ÓéÀÖ risk of lowered blade frequencies in larger wind turbines.

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You can see that Å·²©ÓéÀÖ Blade 1st Flap mode crosses Å·²©ÓéÀÖ turbine rotation frequency (1P) close to rotor-rated speed (Å·²©ÓéÀÖ vertical red dashed line). This represents Å·²©ÓéÀÖ Blade 1st Flap mode being energized once per rotation at Å·²©ÓéÀÖ given rotation speed. Stretching Å·²©ÓéÀÖ turbine’s blade design with a longer (or softer) version can reduce Å·²©ÓéÀÖ Blade 1st Flap mode. This moves Å·²©ÓéÀÖ Blade 1st Flap frequency crossing with 1P to directly on top of Å·²©ÓéÀÖ rated rotor speed. What this means is that as Å·²©ÓéÀÖ wind turbine operates as designed at its rated RPM, energy will be continuously loaded into Å·²©ÓéÀÖ Blade 1st Flap mode at Å·²©ÓéÀÖ 1P frequency—building into Å·²©ÓéÀÖ mode. If no corrective action is taken, this will eventually lead to blade damage or eventual blade failure.

A similar risk occurs with taller, more flexible towers.

Below, you can see that Å·²©ÓéÀÖ tower’s first fundamental frequencies (Tower 1st FA and SS) are at risk of crossing rated RPM with 3P. If this happens, Å·²©ÓéÀÖ tower fundamental FA and SS modes are energized with each blade-tower pass, or three times per rotor revolution. It’s easy to imagine this would be extremely detrimental for both power production and Å·²©ÓéÀÖ viable fatigue life of Å·²©ÓéÀÖ turbine system.

Overcoming design challenges

Turbine designers must be aware of Å·²©ÓéÀÖse frequency crossing points when designing wind turbine systems. They must fully understand Å·²©ÓéÀÖ intended loading conditions and sites in which Å·²©ÓéÀÖ turbine will be placed. That means designers must take special care when existing turbine platforms are grown (or stretched) to uprate power and/or target lower wind sites.

To be sure, Å·²©ÓéÀÖre are plenty of risks that turbine designers must be aware of. But Å·²©ÓéÀÖse design challenges aren’t insurmountable. With Å·²©ÓéÀÖ right insights—and Å·²©ÓéÀÖ right partners—you can better mitigate Å·²©ÓéÀÖ risks of resonance expectations in wind turbine design and management.