Control arrangement for controlling an electrical generator having multiple sets of plural stator windings each set providing three phases and separately connectable to a converter , the control arrangement comprising: a fundamental current controller , configured for providing a first voltage command , in particular in a dq+ frame, based on plural stator currents (Ia, Ib, Ic) of the plural stator windings; the control arrangement further comprising: at least one harmonic flux controller related to a (nth or mth) harmonic (n, m) of an electrical frequency (f) of the electrical machine, wherein the harmonic flux controller is configured to receive as inputs a flux linkage signal related to flux linkages generated by the plural stator windings, a reference flux linkage signal related to reference flux linkage of a particular order (n, m) to be generated by the plural stator windings and an electrical angle (Θe) of the electrical machine, wherein the harmonic flux controller is configured to output an reference harmonic current command (393, Idnref), in particular a d-component (Idnref) of a reference harmonic current (Inref), based on the harmonic flux controller inputs, wherein based on the reference harmonic current command (393, Idnref) a reference harmonic voltage command (Vdnh, Vqnh) is derivable; and a summation system for adding, in particular separately for a respective d-component and a respective q-component, the first voltage command and the reference harmonic voltage command (Vdnh, Vqnh) to obtain a summed voltage command (398, Vd, Vq) based on which the electrical machine, in particular the converter , is controllable. at least one harmonic flux controller related to a (nth or mth) harmonic (n, m) of an electrical frequency (f) of the electrical machine, wherein the harmonic flux controller is configured to receive as inputs a flux linkage signal related to flux linkages generated by the plural stator windings, a reference flux linkage signal related to reference flux linkage of a particular order (n, m) to be generated by the plural stator windings and an electrical angle (Θe) of the electrical machine, wherein the harmonic flux controller is configured to output an reference harmonic current command (393, Idnref), in particular a d-component (Idnref) of a reference harmonic current (Inref), based on the harmonic flux controller inputs, wherein based on the reference harmonic current command (393, Idnref) a reference harmonic voltage command (Vdnh, Vqnh) is derivable; and a flux linkage signal related to flux linkages generated by the plural stator windings, a reference flux linkage signal related to reference flux linkage of a particular order (n, m) to be generated by the plural stator windings and an electrical angle (Θe) of the electrical machine, wherein the harmonic flux controller is configured to output an reference harmonic current command (393, Idnref), in particular a d-component (Idnref) of a reference harmonic current (Inref), based on the harmonic flux controller inputs, wherein based on the reference harmonic current command (393, Idnref) a reference harmonic voltage command (Vdnh, Vqnh) is derivable; and a summation system for adding, in particular separately for a respective d-component and a respective q-component, the first voltage command and the reference harmonic voltage command (Vdnh, Vqnh) to obtain a summed voltage command (398, Vd, Vq) based on which the electrical machine, in particular the converter , is controllable. <EOS>