For most home solar or backup power uses, a pure sine wave 60v inverter with at least 3000 watts continuous output and high efficiency (over 90%) is recommended 1.
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A quick rule is to divide watts by 10 for 12V systems or 20 for 24V systems. For more accuracy, divide the load by the actual battery voltage and adjust for inverter efficiency (typically 85%).
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But a good baseline is to expect $100-300/kW of grid inter-connection costs, or $3-10/kW-km, over a 10-70 km typical distance (including the length of downstream lines that must be upgraded). Larger and higher voltage projects have lower tie-in costs.
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You can run an inverter up to 400 watts on a standard car battery. Always check your battery's specifications and consult a professional for safe usage in your.
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