Somewhere in the 200 to 300 fps range you'll probably see some flicker from using 1K globes, 300w globes would be even worse to use, but you might be fine below 200 fps. Or maybe not (test!) Ideally use flicker-free lights instead or 2K globes if not 5K as you go even higher than 200 fps. Here's some text I found online from the folks at Phantom:
When powered by alternating current (AC) electricity, the lamps power cycles 50 or 60 times per second (depending on the country and its power system). During the down cycle the tungsten lamp filament can dim slightly. Above certain frame rates a camera sensor is photographing enough images per second to see the alternation of the filament, resulting as flicker in the image.
The amount of flicker is related to the type of bulb, wattage and physical size of filament. In general, lamps of 5000w or larger that use tungsten filaments are so large that they do not have time to cool and dim before the power cycles back up. Therefore, it is recommended using 2K or greater tungsten light fixtures when shooting above 120fps in 60hz countries and 5K or greater when shooting above 100fps in 50hz countries.
Some additional recommendations are to use DC power for tungsten lights, which eliminates flicker entirely. The direct current supplied to the lamp head means there is no alternation between cycles and the filament is illuminated constantly. Smaller practical bulbs can be battery powered thus avoiding flicker issues.
HMI and fluorescent lights are generally fine for speeds under 100fps as long as they use electronic ballasts and are set to flicker free. Although HMI lights do not suffer from the flicker which effects tungsten, HMIs can suffer from Arc Wander, whereby a plasmatic hot spot moves within the bulb, causing an amorphous shifting movement in the light output. The most common side effect to this is a rapid colour shift in a shimmering effect. No HMI light with a normal electronic ballast can be guaranteed against some form of flicker, no matter how big the lamp is.
In recent years high frequency ballasts have been produced for HMI lamps. In the UK, Panalux stock 300Hz ballasts for HMI lamps between 125W and 18,000W. Similarly Arri has produced 1000Hz High Speed Ballasts for use with the same HMI lamp from 125W up to 6000W. These ballasts dramatically reduce or even eliminate flicker in most situations, but under practical use of these tools, it has been found that in certain lighting conditions and with certain lamps and bubbles, flicker still may be apparent. Testing of the specific lamps to be use on a job is always advisable.
LED lights are subject to the electronic circuits driving them which can create a vast array of refresh rates, but generally LED fixtures designed for the film industry will not flicker as long as they are not dimmed. In recent times, more and more LED lights are becoming available for motion picture, many of these are now being commonly used for high speed shooting.
Finally, the shutter angle on the high speed camera can affect flicker as well, as a greater shutter angle allows for a longer response time from the light. When shooting extremely high frame rates, it may no longer be necessary to retain a 180-degree shutter to capture the motion generally preferred for a filmic look. A 360-degree shutter allows both more light sensitivity and can reduced flicker possibilities.