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12:00 · 2.32 kW from the array

Battery 100 %

Load · 400 W

24 hours · array output, load, battery charge

57.7 °C inside · 35 °C outside

Heat exchanger · 136 W

Drop 0.60 m · stops within 54 mm

Isolators · fn 10.1 Hz

Vehicle floor · input vibration

Sensor · 6.6 W at the device

Camera · 26.4 W at the device

Access point · 52.8 W at the device

PTZ camera · 75.0 W at the device

PoE switch · 24 ports

227 N · at 15 m

3.40 kN·m · added at the base

Wind profile · 29.5 m/s at 3 m, 40.3 m/s at 27 m

Alternator · 60 A at 14 V

Load · 120 W

Battery 26 % · 12:00, parked

LFP battery and inverter

Intro.

Hardware & power · Explainer

Equipment that runs where the grid and the weather do not help.

Six engineering checks behind every field installation, each worked live: the solar and battery balance through a day and a night, the heat an enclosure can shed, the isolation that protects a transit rack, the Power over Ethernet budget, the wind on a mounted antenna and the power a crew truck carries. Every number below is computed live from your inputs.

01 · Microgrid energy balance

The battery is sized for the night, the array for the shortest day.

Daily irradiation outside the atmosphere follows from latitude and date: H₀ = (24 · 3600 · Gsc / π)(1 + 0.033 cos(360n/365))(cos φ cos δ sin ωs + ωs sin φ sin δ), with sunset hour angle ωs = arccos(−tan φ tan δ). The clearness index takes it to the ground, and the array delivers its rated kilowatts times that irradiation times a performance ratio of 0.8, shaped hour by hour by the Sun’s height. The battery carries the load through the dark on 90 % of its capacity.

Date

Sky

Day length
16 h 19 min
Irradiation on the ground
5.80 kWh/m²
PV energy · load energy a day
23.2 · 9.6 kWh
Daily balance
+13.6 kWh
Hours of autonomy on the battery
33.8 h
Lowest charge over the cycle
74 %

02 · Enclosure thermal

A sealed box sheds heat only through its skin.

A free-standing painted steel enclosure loses heat through every face but its base, A = WD + 2H(W + D), at about 5.5 W/m²K, so the inside runs ΔT = P / (5.5 A) above ambient. A sealed IP66 / NEMA 4X box that runs too hot needs a closed-loop exchanger or air conditioner for the difference, P − 5.5 A (Tmax − Tamb). A filtered-fan IP54 box moves V = 3.1 (P − 5.5 A ΔT) / ΔT m³/h of outside air, and no fan can cool below ambient. Equipment here is held at 50 °C or less.

Enclosure, W × H × D

Protection

Effective surface
3.20 m²
Rise from the skin alone
22.7 K
Inside, sealed and uncooled
57.7 °C
Closed-loop cooling needed
136 W

03 · Rugged rack isolation

Isolators trade rattle for sway space.

The inner rack frame rides on eight elastomer isolators, a mass on a spring with natural frequency fn = (1/2π)√(k/m). Above √2 times fn the isolators cut vibration: transmissibility is √((1 + (2ζr)²) / ((1 − r²)² + (2ζr)²)) with r = f / fn and damping ζ = 0.1. In a drop the frame meets the case at v = √(2gh); the isolators stop it within v / ωn at a peak of v ωn / g. Softer isolators protect better and need more room to move.

Natural frequency
10.1 Hz · ratio 2.98
Transmissibility
0.15 · −16.6 dB
Impact speed
3.43 m/s
Sway space needed
54 mm
Peak on the equipment
22.1 g

04 · Power over Ethernet budget

The switch allocates by class, the cable takes its share.

A PoE switch reserves each port’s class power from its supply: 7 W for a class 2 sensor, 30 W for a class 4 camera, 60 W for a class 6 access point and 90 W for a class 8 pan-tilt camera with a heater. The cable burns I²R on the way: at 44 V and 20 Ω for 802.3af, 50 V and 12.5 Ω for 802.3at, and two pair-sets in parallel at 50 or 52 V for 802.3bt, scaled by length from 100 m. Ports are powered in order until the supply is spent; the rest stay dark.

Switch PoE supply

Ports used of 24
15
Allocated · left
328 W · 42 W
Lost in the cables
37.6 W
At a class 8 camera
75.0 W of 90 W
Devices left unpowered
2

05 · Mounting and wind load

Wind load grows with the square of speed, and speed grows with height.

Wind speed rises with height by the power law v(h) = v₁₀ (h / 10)1/7 over open ground. The dynamic pressure is q = ½ρv² with ρ = 1.225 kg/m³, and the drag on the equipment is F = q Cd A, with Cd about 1.2 for a flat panel facing the wind and 1.4 for a solid dish without a radome or a sector antenna face-on. The force acts at the mount, so the bending moment it adds at the tower base is F · h.

Equipment

Projected area · Cd
0.224 m² · 1.2
Wind at the mount
37.1 m/s
Dynamic pressure
842 Pa
Drag on the equipment
227 N
Moment at the tower base
3.40 kN·m

06 · Mobile power

A truck is a generator that has to keep driving.

A DC-DC charger draws the alternator’s spare current at 14 V into a lithium iron phosphate battery at 95 % efficiency; an inverter at 90 % efficiency runs the load around the clock. Charging power is 14 I × 0.95, the battery runs the load for 0.9 E η / P hours, and the day balances when the hours of driving put back what the load takes. The scene plays one day in 24 seconds, driving first.

Charging power
798 W
Empty to full
3 h 23 min
Load run time on the battery
20 h 15 min
Energy in · out a day
2.39 · 3.20 kWh
Extra engine hours to balance
1 h 01 min
Loading the scene…
Hardware & power · Explainer

Equipment that runs where the grid and the weather do not help.

Six engineering checks behind every field installation, each worked live: the solar and battery balance through a day and a night, the heat an enclosure can shed, the isolation that protects a transit rack, the Power over Ethernet budget, the wind on a mounted antenna and the power a crew truck carries. Every number below is computed live from your inputs.

01 · Microgrid energy balance

The battery is sized for the night, the array for the shortest day.

Daily irradiation outside the atmosphere follows from latitude and date: H₀ = (24 · 3600 · Gsc / π)(1 + 0.033 cos(360n/365))(cos φ cos δ sin ωs + ωs sin φ sin δ), with sunset hour angle ωs = arccos(−tan φ tan δ). The clearness index takes it to the ground, and the array delivers its rated kilowatts times that irradiation times a performance ratio of 0.8, shaped hour by hour by the Sun’s height. The battery carries the load through the dark on 90 % of its capacity.

Date
Sky
Day length
–
Irradiation on the ground
–
PV energy · load energy a day
–
Daily balance
–
Hours of autonomy on the battery
–
Lowest charge over the cycle
–
02 · Enclosure thermal

A sealed box sheds heat only through its skin.

A free-standing painted steel enclosure loses heat through every face but its base, A = WD + 2H(W + D), at about 5.5 W/m²K, so the inside runs ΔT = P / (5.5 A) above ambient. A sealed IP66 / NEMA 4X box that runs too hot needs a closed-loop exchanger or air conditioner for the difference, P − 5.5 A (Tmax − Tamb). A filtered-fan IP54 box moves V = 3.1 (P − 5.5 A ΔT) / ΔT m³/h of outside air, and no fan can cool below ambient. Equipment here is held at 50 °C or less.

Enclosure, W × H × D
Protection
Effective surface
–
Rise from the skin alone
–
Inside, sealed and uncooled
–
Cooling needed
–
03 · Rugged rack isolation

Isolators trade rattle for sway space.

The inner rack frame rides on eight elastomer isolators, a mass on a spring with natural frequency fn = (1/2π)√(k/m). Above √2 times fn the isolators cut vibration: transmissibility is √((1 + (2ζr)²) / ((1 − r²)² + (2ζr)²)) with r = f / fn and damping ζ = 0.1. In a drop the frame meets the case at v = √(2gh); the isolators stop it within v / ωn at a peak of v ωn / g. Softer isolators protect better and need more room to move.

Natural frequency
–
Transmissibility
–
Impact speed
–
Sway space needed
–
Peak on the equipment
–
04 · Power over Ethernet budget

The switch allocates by class, the cable takes its share.

A PoE switch reserves each port’s class power from its supply: 7 W for a class 2 sensor, 30 W for a class 4 camera, 60 W for a class 6 access point and 90 W for a class 8 pan-tilt camera with a heater. The cable burns I²R on the way: at 44 V and 20 Ω for 802.3af, 50 V and 12.5 Ω for 802.3at, and two pair-sets in parallel at 50 or 52 V for 802.3bt, scaled by length from 100 m. Ports are powered in order until the supply is spent; the rest stay dark.

Switch PoE supply
Ports used of 24
–
Allocated · left
–
Lost in the cables
–
At a class 8 camera
–
Devices left unpowered
–
05 · Mounting and wind load

Wind load grows with the square of speed, and speed grows with height.

Wind speed rises with height by the power law v(h) = v₁₀ (h / 10)1/7 over open ground. The dynamic pressure is q = ½ρv² with ρ = 1.225 kg/m³, and the drag on the equipment is F = q Cd A, with Cd about 1.2 for a flat panel facing the wind and 1.4 for a solid dish without a radome or a sector antenna face-on. The force acts at the mount, so the bending moment it adds at the tower base is F · h.

Equipment
Projected area · Cd
–
Wind at the mount
–
Dynamic pressure
–
Drag on the equipment
–
Moment at the tower base
–
06 · Mobile power

A truck is a generator that has to keep driving.

A DC-DC charger draws the alternator’s spare current at 14 V into a lithium iron phosphate battery at 95 % efficiency; an inverter at 90 % efficiency runs the load around the clock. Charging power is 14 I × 0.95, the battery runs the load for 0.9 E η / P hours, and the day balances when the hours of driving put back what the load takes. The scene plays one day in 24 seconds, driving first.

Charging power
–
Empty to full
–
Load run time on the battery
–
Energy in · out a day
–
Extra engine hours to balance
–