Speed Optimization Tool

Find the speed that minimizes total cost (fuel + time). Uses P∝Vⁿ scaling, SFOC, sea margin, and auxiliaries.

Voyage & Economics

Distance (nm)

Fuel price (per t)

Currency tag below.

Time cost (per day)

Charter, schedule penalties, etc.

Currency

Vref (kn)

Pref at Vref (kW)

Exponent n

Typical ≈ 3

SFOC (g/kWh)

Sea margin (%)

Aux/Hotel (kW)

Vmin (kn)

Vmax (kn)

Step (kn)

Evaluates each speed to compute time, power, energy, fuel, fuel cost, time cost & total cost.

V*: — kn

Total cost: —

Fuel: — t | Time: — d

Fuel cost: — | Time cost: —

V_fuel: — kn

Fuel: — t | Time: — d

—

Notes

Power model: \(P(V)=P_{\mathrm{ref}}\,(V/V_{\mathrm{ref}})^n\). Effective power uses sea margin. Total power adds auxiliaries.

Fuel (t) = SFOC(g/kWh) × Energy(kWh) / 1e6. Cost = Fuel×Price + Time×(cost/day).

This is a static calm-water estimator; use prudent bounds and context from weather, RPM limits, & schedule.