3.1.3. Switching between Regimes

The controller switches between partial and full load regimes depending on the first order low-pass filtered switch variable *σθ*−*LP*. *σθ* is defined using Equation (A5) as *σ*(*θ <sup>f</sup>* 1, *θ <sup>f</sup>* 2, *θmean*). The limits *θ <sup>f</sup>* <sup>1</sup> and *θ <sup>f</sup>* <sup>2</sup> are user-defined parameters. For this study, the limits were defined as *θ <sup>f</sup>* <sup>1</sup> = *θ <sup>f</sup>* <sup>2</sup> = *θmin* + 0.5◦. In this configuration, the switching function *σθ* behaves like a step function. The variable *θmin* is the minimum pitch angle of the pitch controller, defined in Section 3.2. The equation of the first order low-passed filter is given by (A1).

Including the switching between regimes and the torque strategy in the above rated regime, the full torque limits take the form

$$Q\_{\rm min} = (1 - \sigma\_{\theta - LP}) \cdot Q\_{\rm min}^P + \sigma\_{\theta - LP} \cdot Q\_{ref}^F \tag{9}$$

$$Q\_{\text{max}} = (1 - \sigma\_{\theta - LP}) \cdot Q\_{\text{max}}^P + \sigma\_{\theta - LP} \cdot Q\_{ref}^F. \tag{10}$$
