Watch Video Demonstration here:

http://www.youtube.com/watch?v=hiWwXp95doY

PAGE 

Voltage Droop Continued

You can minimize voltage droop by having large wires or cables and good solid connections with a lot of surface area.  An example of a bad connection is alligator clips.  These have only a tiny bit of surface area contact with a wire so the resistance of  that connection is very high.

WARNING: You can fry your TV set if you are using a cheap inverter that doesn't have enough capacitance built into it.  Also your TV needs to have  built in protection against voltage droop and spikes.  

If you were super human and clairvoyant, you could increase your pedal rate at exactly the moment when the TV was having it's inrush surge current spike and keep it from starving from lack of current.   But you would run the risk of creating so much power that you would put the inverter in over voltage protection mode, or more specifically, you would cause the voltage to go above 14V DC which is where most AC inverters turn themselves off.

Note that the ideal AC inverter  to use with a pedal power bike generator is one that has the widest operating DC input range.  I wish I could find one that operates from 5 VDC to 50V DC.   Unfortunately this would be very expensive to design and manufacture.