Im not sure what this all has to do with a "smart TV" and what does the smart mean in the that phrase..
I just wanted to add a caution regarding connecting a solar panel directly up to electronics. Chief is using a solar panel to drive one of those thermocouple coolers which is probably mostly a resistive load - NOT an electronic circuit. If you match a resistive load up to the panels maximum power point voltage and current, things work fine and the resistor receives the max power available from the panel. Resistor value is simply chosen by the panels maximum power point V and I (R = V/I). However, if the panel output moves off its maximum power point, the power to the resistive load will be less than the power that can be gained by something like a MPPT controller. It would be interesting to hear from Chief what voltages you measure into the cooler for different sun conditions to see how well you did match. Perfect single value impedance matching is not as efficient as using a MPPT controller and of course poor impedance matching is way less efficient than using a controller/ battery.
Running a solar panel directly into a modern electronic circuit such as a TV or computer.. You may get really lucky with how you match things and it works over a narrow range of sun. And you have a high change of not being lucky and burning out your electronics because the voltage the electronics got operated at was completely uncontrolled and all over the place.
People buy those consumer TV's that use a 12 volt adapter and run them off boat batteries all the time. Ive been doing this for a couple years now with no issues at all. You take a small risk doing this as the boat battery voltage can vary a lot more than the charger voltage does and this is never specified for the TV.. but I have not heard of anyone having a problem doing this..