Welp, don't be on a flight when a solar storm happens.
According to WP the "plasma cloud ... compresses the Earth's magnetic field and thus increases this field at the Earth's surface."[1] I'd guess again that this is probably less of a problem away from the area directly struck by the plasma ... for radar, say ... but radio/sat nav effects might be worldwide. Some SWPC details:'Space Weather Scales': [2]
It'd be very interesting to see this question addressed in some detail.
[0] https://www.youtube.com/watch?v=mEqE-g128kk
[1] https://en.wikipedia.org/wiki/Geomagnetic_storm
[2] http://www.swpc.noaa.gov/sites/default/files/images/NOAAscal...