That's a very good question, however I truly believe that it can't be answered. First of all you must realize that feeling a lot of pull doesn't necessarily mean that you are going in the right direction if what you want is more speed, actually when you get the most power is when you're fighting against it. The good thing about going a little bit upwind (which is when you are trying to go away from the kite) is that you get a faster turning rate. So, it all depends on the wind, the size of the kite and your skill level.
In light winds you have to keep moving the kite and a good technique is to put the kite at the zenith then dropping it as fast as you can in the direction you want to go and just before it hits the ground lean back while turning and repeat the whole process. You will notice that you are leaving an "s" pattern behind you if you do it right, if you lean back too much you will come to a complete stop and if you don't do it enough your kite will hit the ground.
In strong winds the problem is not how to go fast but how not to go too fast. Normally (if the wind is strong enough) going almost directly towards the kite will result in uncontrollable speed, so you need to start going upwind and in some cases you must start what I can only call an endless power slide (this is when your wheels are barely moving but you are going amazingly fast).
I hope this helps you with your problem and I apologize for my english (I'm not a native).