Demand (load) profiles for the different charging algorithms on the nine-bus system can be seen in Figs. 6–9. Since the profiles are very similar in the 18-bus case, only those in the nine-bus case are shown. It is clear that uncoordinated charging significantly adds to the peak load in all cases. Also in all cases, minimizing the load variance produces almost exactly same profile as minimizing the losses, so much so that the two profiles are nearly indistinguishable when plotted on the same graph. The only reason for the difference is that the topology of the distribution system is not a single line with all loads connected to the end, as is required in the proof. In Figs. 6–8, where the condition in (21) is not satisfied, maximizing the load factor does not minimize the variance or the losses. In this case the maximum load factor profile can be easily distinguished from the other two optimal charging algorithms. However, the maximum load factor profile also does not add to the peak load. As seen in Fig. 9, where the condition in (21) is met, maximizing the load factor produces an identical result to minimizing the load variance and therefore the curves overlap throughout the graph. Also in this case, minimizing the losses produces a slight increase in the peak load. This is because voltage effects and the system topology are taken into account.