[excel] Ignore cells on Excel line graph

There are many cases in which gaps are desired in a chart.

I am currently trying to make a plot of flow rate in a heating system vs. the time of day. I have data for two months. I want to plot only vs. the time of day from 00:00 to 23:59, which causes lines to be drawn between 23:59 and 00:01 of the next day which extend across the chart and disturb the otherwise regular daily variation.

Using the NA() formula (in German NV()) causes Excel to ignore the cells, but instead the previous and following points are simply connected, which has the same problem with lines across the chart.

The only solution I have been able to find is to delete the formulas from the cells which should create the gaps.

Using an IF formula with "" as its value for the gaps makes Excel interpret the X-values as string labels (shudder) for the chart instead of numbers (and makes me swear about the people who wrote that requirement).