Already found the solution in ‘labelFormatter’. For others who are looking for such a solution I briefly describe my solution.
Because I made it possible to dynamically add different data (sensor from a weather station) to the chart by clicking a weather icon, I use the setter of the corresponding axis after adding data to chart. See code below.
chart.axisY2[0].set('labelFormatter',function ( e ) {
if ( e.value >= 11.25 && e.value < 33.75 ) return 'NNE';
else if ( e.value >= 33.75 && e.value < 56.25 ) return 'NE';
else if (e.value >= 56.25 && e.value < 78.75 ) return 'ENE';
else if (e.value >= 78.75 && e.value < 101.25 ) return 'E';
else if (e.value >= 101.25 && e.value < 123.75 ) return 'ESE';
else if (e.value >= 123.75 && e.value < 146.25 ) return 'SE';
else if (e.value >= 146.25 && e.value < 168.75 ) return 'SSE';
else if (e.value >= 168.75 && e.value < 191.25 ) return 'S';
else if (e.value >= 191.25 && e.value < 213.75 ) return 'SSW';
else if (e.value >= 213.75 && e.value < 236.25 ) return 'SW';
else if (e.value >= 236.25 && e.value < 258.75 ) return 'WSW';
else if (e.value >= 258.75 && e.value < 281.25 ) return 'W';
else if (e.value >= 281.25 && e.value < 303.75 ) return 'WNW';
else if (e.value >= 303.75 && e.value < 326.25 ) return 'NW';
else if (e.value >= 326.25 && e.value < 348.75 ) return 'NNW';
else if (e.value >= 348.75 ) return 'N';
else if (e.value < 11.25 ) return 'N';
return e.value;
});