1. With the SAMDUO Intelligence, households can save up to €1,897 per year on electricity. This solution significantly reduces household energy costs while supporting clean, efficient energy use. For compliance with German regulations, the installed PV system must not exceed 7 kW, and inverter output must not exceed 800 W. Systems above these thresholds require registration and installation by a certified electrician, in accordance with local grid connection rules. All PV components, including panels, inverters, and storage devices, must be registered in MaStR (Marktstammdatenregister, www.marktstammdatenregister.de) and comply with local grid operator regulations. Based on southern Germany solar data, 1 kW of solar panels generates approximately 1,100 kWh per year. Fixed electricity price is €0.40 per kWh, peak-valley difference is €0.132 per kWh, and the AI daily cycle purchases 40% of external electricity during low-tariff hours to use during peak hours. The German grid carbon emission factor (2026) is 0.425 kg CO₂ per kWh, and one tree absorbs about 18–20 kg CO₂ per year.Calculations: Household annual usage: 2,000 kWh; Installed solar: 1 kW; Battery: Nex P2800 Pro (2.736 kWh); Theoretical battery storage per year = 2.736 × 0.99 × 365 = 988.65 kWh; Solar self-consumption revenue = 988.65 × 0.40 = €395.46; External grid electricity = 2,000 − 1,100 = 900 kWh; AI peak-valley arbitrage revenue = 900 × 40% × 0.132 = €47.52; Annual total savings = 395.46 + 47.52 = €443; CO₂ reduction = 988.65 × 0.425 ≈ 420 kg CO₂; Planting tree equivalent = 420 ÷ 18 ≈ 23 trees/year Household annual usage: 3,000 kWh; Installed solar: 2 kW; Battery: Nex P2800 Pro + BP2800 (Total 5.472 kWh); Theoretical battery storage per year = 5.472 × 0.99 × 365 = 1,977.31 kWh; Solar self-consumption revenue = 1,977.31 × 0.40 = €790.92; External grid electricity = 3,000 − 2,200 = 800 kWh; AI peak-valley arbitrage revenue = 800 × 40% × 0.132 = €42.24; Annual total savings = 790.92 + 42.24 = €833; CO₂ reduction = 1,977.31 × 0.425 ≈ 840 kg CO₂; Planting tree equivalent = 840 ÷ 18 ≈ 47 trees/year Household annual usage: 4,000 kWh; Installed solar: 4 kW; Battery: Nex P2800 Pro + 2 × BP2800 (Total 8.208 kWh); Theoretical battery storage per year = 8.208 × 0.99 × 365 = 2,965.96 kWh; Solar self-consumption revenue = 2,965.96 × 0.40 = €1,186.38; External grid electricity = 4,000 − 4,400 = − (all consumption covered by solar/battery); AI peak-valley arbitrage revenue = 1034 × 40% × 0.132 = €54.60; Annual total savings = 1,186.38 + 54.60 = €1,241; CO₂ reduction = 2,965.96 × 0.425 ≈ 1,261 kg CO₂; Planting tree equivalent = 1,261 ÷ 18 ≈ 70 trees/year Household annual usage: 5,000 kWh; Installed solar: 4 kW; Battery: Nex P2800 Pro + 3 × BP2800 (Total 10.944 kWh); Theoretical battery storage per year = 10.944 × 0.99 × 365 = 3,954.61 kWh; Solar self-consumption revenue = 3,954.61 × 0.40 = €1,581.84; External grid electricity = 5,000 − 4,400 = 600 kWh; AI peak-valley arbitrage revenue = 1,045 × 40% × 0.132 = €55.18; Annual total savings = 1,581.84 + 55.18 = €1,637; CO₂ reduction = 3,954.61 × 0.425 ≈ 1,681 kg CO₂; Planting tree equivalent = 1,681 ÷ 18 ≈ 93 trees/year Household annual usage: 6,000 kWh; Installed solar: 4 kW; Battery: Nex P2800 Pro + 4 × BP2800 (Total 13.68 kWh); Theoretical battery storage per year = 13.68 × 0.99 × 365 = 4,943.27 kWh; Solar self-consumption revenue = 4,400 × 0.40 = €1,760; External grid electricity = 6,000 − 4,400 = 1,600 kWh; AI peak-valley arbitrage revenue = 1,600 × 40% × 0.132 = €84.48; Annual total savings = 1,760 + 84.48 = €1,844; CO₂ reduction = 4,400 × 0.425 = 1,870 kg CO₂; Planting tree equivalent = 1,870 ÷ 18 ≈ 104 trees/year Household annual usage: 7,000 kWh; Installed solar: 4 kW; Battery: Nex P2800 Pro + 5 × BP2800 (Total 16.416 kWh); Theoretical battery storage per year = 16.416 × 0.99 × 365 = 5,931.92 kWh; Solar self-consumption revenue = 4,400 × 0.40 = €1,760; External grid electricity = 7,000 − 4,400 = 2,600 kWh; AI peak-valley arbitrage revenue = 2,600 × 40% × 0.132 = €137.28; Annual total savings = 1,760 + 137.28 = €1,897; CO₂ reduction = 4,400 × 0.425 = 1,870 kg CO₂; Tree equivalent = 1,870 ÷ 18 ≈ 104 trees/year