Clueless

That is a large inverter for a 300 AH @ 12 volt battery bank (guessing).

The 300 Watts of  solar panel is a bit on the small size... But OK for random use in sunny weather (based on battery bank capacity).

150 Ft wiring run... Is that from the solar panels to the charge controller/battery bank? That is a relatively long distance to send 17 or 34 volts--Could cost quite a bit for copper wiring (to keep the voltage drop down).

Before doing the whole math thing--What is it you are trying to do?

I suggest understanding your energy needs (daily loads, Watt*Hours per day, AH @ 12 volts per day, etc.), roughly where and when the system will be used (location for hours of sun by season, and what seasons the system will be used).

And what are your peak 12 VDC / 120 VAC loads (i.e., a 1,000 Watt inverter powering a 30 Watt load is a bit "over sized").

Sending "significant" power any distance... 12 VDC--A few 10's of feet is "doable" for a reasonable cost... If you want to send power 150 feet--Then you want to send it at 120 VAC, or wire up the solar array upwards of 100 VDC or more--That means picking the correct panels, configuring the panels in series, and a charge controller than can manage 100-150 VDC from the solar array. Also knowing the rough location--Solar panels have "higher voltage" when in sub freezing climates--And "lower voltage" output in hot climates... Need to make sure the charge controller can "manage" the swing in winter to summer voltage.

-Bill