How to match the solar panel (battery) to the LED strip (5 meters)?

Question

Solar panels

Let me tell you right off the bat, I'm new to this. I'm studying to be a chef.
There is an advertising stand in the yard, in which you need to mount an LED strip (5 meters, 12 volts, with a consumption of 50 watts) to illuminate at night. We decided with the guys to try to connect this business for ourselves not through the central electrical network, but a solar battery + a controller with a timer (for automatic switching on only at night) + a battery.
If I understand correctly, then we calculate watts per hour:
The tape will work for about 9 hours a day (from 11 pm to 8 am), which means it will consume 50 watts * 9 = 450 watts per day.
We use a 40 watt solar battery (polycrystals).
We use a 10A controller with a timer.
The total insolation in our region in the spring is approximately 25-30 kWh
UPD: If you need accurate marking of components with TTX, I can provide.
UPD2: In the future, we may try to connect to Arduino, write a sketch and install a light sensor + GSM module so that the backlight can be controlled from a mobile phone.

Answer 1

1) will be expensive. Highly. And the most expensive part will be the battery - you need a capacity of about 600-800 Wh (margin for degradation, self-discharge, non-ideal efficiency and weather conditions) - and this in your case turns out to be a car battery somewhere around 65-70Ah, you will find the prices yourself in your region, but under 100 c.u. It can be cheaper but at a great expense to reliability and will add hemorrhoids in assembly and maintenance.
2) The calculation of solar panels is simple - take modules with a margin of 25-30 percent at least for degradation and non-ideal weather conditions.
Conventionally, you need to get about 500Watt hours per daylight hours, i.e. solar battery power should be higher -- about 70-80W. It is better to take with high voltage and low current and then adjust to the battery voltage (13.8-14V in the cycle).
And I would also add the ability to turn on the sign when the battery is recharged to prevent a breakdown.
It’s easy to assemble - the panel through the converter to the battery, from the battery through the relay (with an arudin) and another converter (to maintain a stable voltage of 11.5V at the output in any conditions, and lowered so that the tape lives longer) to the LEDs. + hang on the same arduino battery voltage monitor - if below 10.8V, forcibly cut off the power supply to the tapes and go into low power mode.