Enter demand and charging assumptions to size the ready-pack inventory and charger workload.
Metric
Value
Meaning
Summary of utilization, inventory, and safety stock calculations.
How this EV battery swap inventory planner helps
This calculator turns an expected daily swap load, a charging system, and a target service level into a recommended inventory of charged packs and supporting chargers. It is designed for planners who need a quick, quantitative way to size swap stations without building a full simulation from scratch.
You specify how many swaps you expect per day, how demand peaks during busy windows, and how fast your chargers can turn packs around. The model uses queueing theory and a simple variability buffer to estimate:
Minimum circulating inventory to keep up with average demand
Additional safety stock to cover peaks and randomness
Charger workload implied by your inputs
The results are approximate but useful for early-stage planning, comparing station concepts, or checking whether an existing site is likely under- or over-provisioned.
Key inputs and what to enter
Demand profile
Expected swaps per day – Average completed swaps on a typical day. Use historical data from comparable sites, pilot results, or a demand forecast. For a mid-size urban site, values from 100–300 swaps/day are common in early deployments.
Station operating hours per day – Hours per day the station is open for swaps. Many commuter stations operate 16–20 hours; highway or fleet depots may run 24/7.
Peak demand multiplier – How intense the peak hour is relative to the daily average hourly swap rate. A value of 2.0 means peak hours are about twice as busy as the average hour.
Duration of peak window – Number of hours per day at elevated demand. You can combine multiple rushes (morning and evening) into a single equivalent peak window if needed.
Charging system
Number of chargers in service – Count of charge points simultaneously available for swap packs. Exclude chargers reserved for other uses or frequently down for maintenance.
Battery charge time – Average time, in hours, to bring a depleted swap pack back to the target state of charge. Use manufacturer data but adjust upward if your site throttles power during grid constraints.
Post-charge inspection & cooldown – Time, in minutes, for safety checks, BMS diagnostics, and thermal stabilization before a pack can re-enter the ready inventory.
Service targets
Target ready-pack service level – The percentage of customer arrivals that should find an immediately available charged pack. For example, 95% means at most 1 in 20 customers should experience a stockout under typical conditions.
Core formulas behind the planner
Average demand and cycle time
The first step is to convert daily demand into an average arrival rate per hour:
Each pack that enters the charging system spends time charging plus time cooling or under inspection before returning to ready inventory. The average cycle time is:
where is in hours and is cooldown time converted from minutes to hours.
Little’s Law for base circulating inventory
Little’s Law links the long-run average number of items in a system to arrival rate and cycle time. In MathML form:
For a swap station:
L = average number of packs cycling through charging and cooldown
λ = average swaps per hour
W = average turnaround time per pack (hours)
The planner uses this as a baseline for how many packs must be in the system just to keep up with typical demand, not yet accounting for peaks or variability.
Safety stock for variability and peaks
Real arrivals are not perfectly smooth. The tool uses a normal approximation to variability in swap arrivals over the cycle time window. If the expected demand over one cycle is
, the standard deviation is approximately under a Poisson assumption.
For a target service level , the corresponding normal quantile is used to set safety stock:
The final recommended ready-pack inventory is then roughly:
Additionally, the peak demand multiplier and peak window length help stress-test the station against concentrated demand, highlighting if your chargers are likely to fall behind during busy periods even when the daily total looks manageable.
Interpreting the results
After running the planner, focus on three aspects:
Recommended ready-pack inventory – The minimum number of charged packs you should plan to have on-site to hit your chosen service level, given the assumptions above.
Implied charger utilization – High utilization (close to 100%) suggests that even small demand spikes or outages could cause backlogs. Lower utilization provides resilience but requires more chargers.
Peak-hour stress – If peak demand during the specified window exceeds what your chargers can recover outside the peak, you may need either more chargers, more inventory, or demand-shaping tactics.
Treat the output as a planning recommendation, not a hard guarantee. In particular, increasing the target service level from 90% to 99% can substantially increase the suggested safety stock, which might or might not be economically justified.
Worked example: commuter swap station
Consider an urban commuter station with these inputs:
Expected swaps per day: 180
Station operating hours: 18
Peak demand multiplier: 1.8
Peak window: 3 hours
Chargers: 16
Charge time: 1.6 hours
Cooldown: 20 minutes (0.33 hours)
Target service level: 95%
Average arrivals per hour are swaps/hour. The cycle time is hours. Little’s Law gives a base circulating inventory of:
packs.
Over one cycle, expected demand is , with . For a 95% service level, , so safety stock is around packs.
That suggests a total of roughly 27 packs in the system to meet the target on a typical day. The actual calculator may adjust this further based on the peak window and charger count to make sure the station can recover from the 3-hour peak and still replenish inventory before the next rush.
As a planner, you might round this to 28–30 packs to allow for maintenance holds and minor modeling error, then check whether 16 chargers can practically support that level of throughput under your grid constraints.
Example comparison: commuter vs. highway corridor
Scenario
Daily swaps
Hours open
Peak pattern
Service level target
Planning takeaway
Commuter hub
180
18
1.8× for 3 hours
95%
Demand concentrated in rush hours; inventory must buffer short intense surges while chargers catch up during off-peak.
Highway corridor
220
24
1.4× for 6 hours
97%
More evenly spread demand; slightly higher daily load but fewer sharp spikes, so charger capacity sizing is as important as inventory.
Even when two stations have similar daily swap counts, the shape of demand and chosen service level can lead to very different recommended numbers of packs and chargers. Use the tool to compare such scenarios quickly by adjusting inputs and noting how inventory recommendations change.
Assumptions and limitations
Steady-state averages – The underlying math assumes demand and processing rates are roughly stable over time. Very early-stage pilots or highly seasonal sites may violate this assumption.
Poisson/normal arrival model – Arrivals are treated as random but with variability similar to a Poisson process, then approximated by a normal distribution. Real fleets may have more structured behavior (e.g., shift changes) that increases clustering.
Homogeneous packs and chargers – The planner assumes all packs are interchangeable and all chargers have similar performance. Mixed chemistries, different max C-rates, or prioritized fleets are not modeled explicitly.
No explicit grid constraints – It does not enforce feeder limits, dynamic tariffs, or curtailment events. If your site must frequently throttle power, adjust the effective charge time input upward.
Uptime and maintenance handled indirectly – Downtime for chargers or packs is not modeled in detail. You can approximate it by reducing the charger count or adding a few extra packs of buffer inventory.
Planning, not real-time control – The tool is intended for long-term sizing and what-if analysis, not second-by-second dispatch or scheduling of swaps.
Because of these simplifications, always cross-check the output against real operating data and engineering judgment. A good practice is to re-run the planner periodically with updated demand and turnaround measurements to refine inventory and capacity decisions over time.
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