Equalisation between fields of the residual charge on the integrating
capacitor in the field sync separator. Without them, the line sync
pulse that immediately precedes a field sync pulse will precede it by
a whole line on alternate fields, and only half a line on the others.
The timing of the start of field scan depends on the voltage on the
integrating capacitor, and if it's not equal between field scans, it
can trigger alternately late and early, and cause the lines displayed
on the screen to bunch in pairs. ("Early" translates to up, and "late"
to down). Using two or three lines of half width pulses twice as often
doesn't alter the average signal voltage, so it won't interfere with
anything else, but it gives enough time for the capacitor to discharge
to a level that doesn't matter, so when the broad pulses begin, the
integrating circuit has the same initial conditions on every field.
There are other ways of detecting field sync, but most early TVs used
fairly simple circuitry (essentially a resistor and a capacitor) that
didn't always work perfectly. The extra complication of adding
equalising pulses in the broadcasters' sync pulse generators obviates
the need for extra care or complication in millions of receivers, so
you might expect that as soon as the idea had been thought of it would
have been implemented everywhere, but our 405 line system never did.
Rod.