A method for determining a rotational angle position of a rotor of a multiphase electrical machine, includes the steps of: generating phase voltages for the multiphase electrical machine by pulse width modulation in accordance with a drive voltage vector circulating in a stator-fixed coordinate system. During a determination time interval: a) generating a test voltage vector, vectorially adding the test voltage vector and the actual drive voltage vector to form a sum vector, outputting the sum vector, and measuring a resulting change of a current vector formed from phase currents; b) repeating step a) for a changed rotational angle position and/or a changed value of the drive voltage vector and for a changed test voltage vector a number n of times so that a total of n+I different test voltage vectors and sum vectors are generated and n+I resulting changes of the current vector are measured; and c) estimating the rotational angle position of the rotor in accordance with the total of n+I measured changes of the current vector.