The use of fullerenes with two or more adducts as acceptors has been recently shown to enhance the performance of bulkâheterojunction solar cells using poly(3âhexylthiophene) (P3HT) as the donor. The enhancement is caused by a substantial increase in the openâcircuit voltage due to a rise in the fullerene lowest unoccupied molecular orbital (LUMO) level when going from monoadducts to multiadducts. While the increase in the openâcircuit voltage is obtained with many different polymers, most polymers other than P3HT show a substantially reduced photocurrent when blended with fullerene multiadducts like bisâPCBM (bis adduct of PhenylâC61âbutyric acid methyl ester) or the indene C60 bisâadduct ICBA. Here we investigate the reasons for this decrease in photocurrent. We find that it can be attributed partly to a loss in charge generation efficiency that may be related to the LUMOâLUMO and HOMOâHOMO (highest occupied molecular orbital) offsets at the donorâacceptor heterojunction, and partly to reduced charge carrier collection efficiencies. We show that the P3HT exhibits efficient collection due to high hole and electron mobilities with monoâ and multiadduct fullerenes. In contrast the less crystalline polymer Poly[[9â(1âoctylnonyl)â9Hâcarbazoleâ2,7âdiyl]â2,5âthiophenediylâ2,1,3âbenzothiadiazoleâ4,7âdiylâ2,5âthiophenediyl (PCDTBT) shows inefficient charge carrier collection, assigned to low hole mobility in the polymer and low electron mobility when blended with multiadduct fullerenes.