If you are having to pump up a cable sytem, you have a different kind of problem. First, check the standard brake system to see that it is working properly...no air in system, reservoirs, full, no leaks. It should work properly using the pedal. If that is OK, you have either a play or a leverage problem...or both. Too much play in the system, probably where it attaches to the original brake, could cause issues, or compound a leverage problem. More likely, you have insufficient leverage. The amount the hand brake cable moves at the top, after any free play is taken up, is all the movement you have available. You can't reliably use over half this distance (to the point the hand lever hits the bars). The place you attach at the bottom needs to move no further than that halved distance, from rest to full brake application. If it needs more than the working distance at the handlebars, you will have to pump the brakes. You will have to move the attachment point. Now if you have a cable working a slave cylinder of some sort, you have a hybrid system, and there may be different considerations. Need more detail of your arrangement to analyze this any further. Wish I were closer so I could help out in person.
-Scotty