Fuel tank
Fuel that leaves the tank without the engine burning it is the most expensive litre on the site.
The twin knows how much the generator should burn from its load. Set that against what left the tank and the gap is fuel you can’t account for. The catch is the sender: cheap level senders read low and jump in steps, so we calibrate before we raise a flag.
500 L horizontal cylinder, resistive level sender, refuel by truck
- Capacity
- 500 L
- Litres per step, half full
- 9.1 L
- Smallest loss we can show
- 24 L a month
- Days to empty when full
- 80 days
Anatomy and nameplate
- 1Level sender. 63 steps of 10 mm. Read through a tested strapping table.
- 2Generator load. Gives the burn the tank should show.
- 3Refuel events. Matched against the delivery record.
- 4Tank temperature. Optional. Diesel grows about 1% for every 12 °C.
| Tank | |
|---|---|
| Volume | 500 L |
| Shape | Horizontal cylinder, 700 mm diameter × 1300 mm long |
| Pickup | 30 mm above the bottom |
| Refuel | Order at 20% left, fill to 95% |
| Sender | |
| Type | Resistive reed chain with float |
| Resolution | 10 mm steps, 63 steps over the travel |
| Dead bands | 25 mm at the bottom, 40 mm at the top |
| Litres per step | 5.1 L near the bottom, 9.1 L at half full |
Telecom site power chain
The grid or the generator feeds the site through the transfer switch. The rectifier makes −48 V DC for the radios and keeps the battery charged. The air conditioner keeps the battery cool.
- Air
- AC power
- −48 V DC
- Diesel
- Has its own twin page
The physics
The equations behind every curve on this page.
Volume from level
V = L · [r²·acos((r − h)/r) − (r − h)·√(2rh − h²)]
A round tank holds few litres per centimetre near the bottom and top, many in the middle. A tested strapping table replaces it when the sender is not straight.
Expected burn
Σ F(P) · Δt
From the generator’s own fuel curve and its load, every 15 minutes.
Unexplained loss
ΔV_measured − burn − refuel
What is left after the engine and the truck are accounted for.
Days to empty
V_usable / average daily burn
5.9 L a day at the reference site.
Level against load
The expected level only falls while the generator runs, by what its load burns. Anything else that moves the level shows up as a gap.
Tank level against the level the load explains
Reference site, July
- Expected from generator load
- Sender, tested strapping table
- Left the tank without being burned
- 45 L
- Generator at the time
- Stopped
- Flagged
- At the next 15-minute reading
The expected line falls only while the generator runs, by what its load burns. A drop with the engine stopped is fuel that left the tank without being burned. Your team confirms why.
loss = ΔV_measured − Σ F(P)·Δt − refuel
The sender, and refuel planning
Before we put a number on a gap we check the sender against a metered fill. After that, the same level and burn tell the truck which sites to visit.
Sender reading against the tested strapping table
63 steps of 10 mm, dead bands at the bottom and top
- Tested strapping table
- Read as a straight percent of 500 L
- Cylinder formula, sender taken as full height
- Litres per step, half full
- 9.1 L
- Worst error, straight percent
- 17 L
A round tank holds few litres per centimetre near the bottom and top and many in the middle. The sender also moves in steps. Read it as a straight percent and the tank looks like it is losing fuel when it is not.
V = L · [r²·acos((r − h)/r) − (r − h)·√(2rh − h²)]
Days to empty across a cluster of 40 sites
Today’s level and each site’s own burn rate
- Days to empty
- Sites to put on the next truck
- 3 of 40
Each site burns at its own rate. Days to empty, not the calendar, decides which sites go on the next truck.
days = V_usable / average daily burn
Failure modes
What breaks, what it looks like, what the twin does about it.
| Failure mode | The physics | Signals that show it | How the twin catches it |
|---|---|---|---|
| Unexplained drop | Fuel leaves the tank with no load to explain it: a leak, a loose fitting or fuel drawn off. | Level falls with the generator stopped, or faster than its load explains. | Shows fuel that left the tank without being burned, how much and when. Your team confirms why. |
| Sender fault or bad calibration | A stuck float, a broken reed or a straight-line setting on a round tank. | Level steps that do not match the strapping table. Readings frozen through a long run. | Checks every step against the tested strapping table before any gap is reported. |
| Water in fuel | Condensation and bad deliveries settle water at the bottom, where the pickup draws. | Water sensor, where fitted. Rough running after a refuel. | Raises a drain-and-check work order when a water reading appears. |
| Refuel recorded but not received | The delivery note says more than the tank gained. | Level rise at the refuel smaller than the recorded volume. | Sets the measured rise against the delivery record for every refuel. |
What the twin does not do
- The twin shows fuel that left the tank without being burned, and when. It does not say why. That is for your team to confirm.
How we catch it early
A physics twin and a PINN, working on one fuel tank.
The twin is a set of equations for this machine, tuned to its nameplate. Give it the flow, speed and conditions and it returns what every reading should be. It always gives the same answer for the same inputs.
A physics-informed neural network, or PINN, sits on top. It is trained on the plant’s own data and it is penalized whenever it breaks a physics rule. So it can only learn what the equations leave out: wear, fouling, friction. It cannot invent an answer that the machine could never produce.
Step 1
Measure
Flow, pressure, current, temperature, vibration. Whatever the asset already has.
Step 2
Physics twin
The equations of this machine, set to its nameplate. It says what the readings should be right now.
Step 3
Residual
Measured minus expected. Demand, weather and speed are already taken out.
Step 4
PINN
A small neural network that learns the cause of the gap, under the physics rules.
Step 5
Finding
A named cause, a date, and the kWh or hours at stake. An engineer reviews it.
loss = (measured − predicted)² + λ · (physics residual)²
The second term is the rulebook. It is zero when the network obeys the equations.
Why this beats black-box AI
A black-box model learns patterns from history. It needs examples of each failure, and it goes quiet when the pump runs at a point it has not seen. The twin starts from physics, so it works on day one. The PINN adds what physics cannot know about this particular machine.
That is also what makes the savings countable. The baseline is a calculation, not a guess, so the gap between baseline and meter is a number a customer can check.
What the twin checks on this asset
- Unexplained loss above 2 sender steps plus 3% of burn
- Level steps consistent with the strapping table
- Refuel volume against the delivery record
- Days to empty against the 5-day truck lead time
| Fixed alarm | Black-box AI | Twin + PINN | |
|---|---|---|---|
| Needs failure history to learn | No | Yes, lots | No |
| Says what is wrong | No | Rarely | Yes, by name |
| Works at a flow it has never seen | No | Often fails | Yes, the equations still hold |
| Puts a number on the saving | No | No | Yes, in kWh and dollars |
| Lead time on slow wear | Late | Varies | Weeks to months |
| Every number can be traced | Yes | No | Yes, to an equation |
What the twin puts a number on
Energy and cost, from the equations.
Smallest loss we can show
24 L a month
Two sender steps (9.1 L each at half full) plus 3% of the month’s burn
Refuel trips avoided
4 a year per site
10 on a calendar sized for the worst month, 6 when trucks go on days to empty
Straight-percent error
up to 17 L
Reading the sender as a straight share of 500 L, against the strapping table
What we do for you
We watch it. We catch it. We prove it.
Our reliability engineers run the twin on your fuel tank, review every finding, and help your crew fix it. After the repair we compare the meter to the baseline and write the result in the ledger.
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