Lithium Battery Pack Series/Parallel (nSpP) Voltage, Energy & C-Rate Calculator

Design Li-Ion (3.6V) or LiFePO₄ (3.2V) series-parallel battery packs.

Total Battery Pack Energy (Wh)
830.37 Wh
Nominal Pack Voltage 47.45 V
Pack Capacity (Amp-Hours) 17.5 Ah
Continuous Discharge Power 1,660.75 W
Inputs
S
Number of cells in series (S, e.g., 13S = 48V Li-Ion, 16S = 51.2V LiFePO₄).
P
Number of cells in parallel per series group (P).
V/cell
Single cell nominal voltage (3.65V NMC/NCA, 3.20V LiFePO₄).
Ah/cell
Single cell capacity in Amp-hours (e.g., 3.5 Ah = 3500 mAh).
C
Continuous cell discharge rating (C-rate).
Results & Graph
Total Battery Pack Energy (Wh)
830.37 Wh
Nominal Pack Voltage
47.45 V
Pack Capacity (Amp-Hours)
17.5 Ah
Continuous Discharge Power
1,660.75 W

Total Battery Pack Energy (Wh)

Graph 1 • Series Cells S Sensitivity Recalculates the domain equation across 50% to 150% of the primary input while holding other parameters constant.
0 Wh 689.9 Wh 1.4k Wh 50%: 447.13 Wh 447.1 50% 75%: 638.75 Wh 638.8 75% 100%: 830.37 Wh 830.4 100% 125%: 1,022 Wh 1.0k 125% 150%: 1,277.5 Wh 1.3k 150%
Graph 2 • Primary & Supporting Metric Comparison Compares the primary output alongside supporting domain benchmarks.
Total Battery Pack Energy (Wh) 830.37 Wh Nominal Pack Voltage 47.45 V Pack Capacity (Amp-Hours) 17.5 Ah Continuous Discharge Power 1,660.75 W
Graph 3 • Exact Output Table & Units Displays each calculated output in its exact domain unit.
Total Battery Pack Energy (Wh)830.37 WhNominal Pack Voltage47.45 VPack Capacity (Amp-Hours)17.5 AhContinuous Discharge Power1,660.75 W
Summary: A 13S5P pack (65 cells total) delivers 47.45 V nominal, 17.5 Ah capacity, and 830.4 Wh (0.83 kWh) with 35 A continuous discharge.
Summary: A 13S5P pack (65 cells total) delivers 47.45 V nominal, 17.5 Ah capacity, and 830.4 Wh (0.83 kWh) with 35 A continuous discharge.
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Interactive chart & math engine powered by CalculatorGraph

Formula & Mathematical Methodology: Battery Pack nSpP Designer Systems Engineering Formula

PackVolts = SeriesS × CellVolts
PackAh = ParallelP × CellAh
PackWh = PackVolts × PackAh
PackVolts = Series_S × CellVolts; PackAh = Parallel_P × CellAh; PackWh = PackVolts × PackAh
  • seriesCellsS: Series Cells S (S)
  • parallelCellsP: Parallel Cells P (P)
  • cellNominalVolts: Cell Nominal Volts (V/cell)
  • cellCapacityAh: Cell Capacity Ah (Ah/cell)
  • maxDischargeCRate: Max Discharge C Rate (C)

Rounding: Binary/decimal capacities and engineering metrics retain full floating-point precision and round to 2 decimal places.

Worked Example: Architecture Sizing Example: Battery Pack nSpP Designer

Design Li-Ion (3.6V) or LiFePO₄ (3.2V) series-parallel battery packs.

  1. Enter the workload parameters, model dimensions, or network link specifications.
  2. Compute the sizing equation: PackVolts = Series_S × CellVolts; PackAh = Parallel_P × CellAh; PackWh = PackVolts × PackAh.
  3. Inspect the primary capacity metric, headroom buffers, and 3 SVG visualizations.
Result: Calculates Battery Pack nSpP Designer via PackVolts = Series_S × CellVolts; PackAh = Parallel_P × CellAh; PackWh = PackVolts × PackAh.

Frequently Asked Questions

How does the Lithium Battery Pack Series/Parallel (nSpP) Voltage, Energy & C-Rate Calculator compute capacity?

It evaluates PackVolts = Series_S × CellVolts; PackAh = Parallel_P × CellAh; PackWh = PackVolts × PackAh directly in your browser and plots three custom SVG diagrams.

Can I compare different cluster or model configurations side by side?

Yes. Use the "Compare (0/3)" button in the results panel to pin up to three configurations.

Does this tool upload any of my architecture parameters?

No. All calculations run 100% client-side in your browser.

Science & Engineering · Electrical & RF Engineering

Lithium Battery Pack Series/Parallel (nSpP) Voltage, Energy & C-Rate Calculator: inputs, method, and how to read the result

Design Li-Ion (3.6V) or LiFePO₄ (3.2V) series-parallel battery packs.

Choose inputs for the case you are checking

The defaults are illustrative. Replace them with values for your case and keep the units shown beside each field.

  • Series Cells S: Number of cells in series (S, e.g., 13S = 48V Li-Ion, 16S = 51.2V LiFePO₄).
  • Parallel Cells P: Number of cells in parallel per series group (P).
  • Cell Nominal Volts: Single cell nominal voltage (3.65V NMC/NCA, 3.20V LiFePO₄).
  • Cell Capacity Ah: Single cell capacity in Amp-hours (e.g., 3.5 Ah = 3500 mAh).

What the calculation includes

With the default values shown, Total Battery Pack Energy (Wh) is 830.37 Wh. The calculation follows Battery Pack nSpP Designer Systems Engineering Formula; the formula and variable definitions above show how the inputs combine.

One-input check: With the other defaults held constant, changing Series Cells S from 13 S to 14 S changes Total Battery Pack Energy (Wh) from 830.37 Wh to 894.25 Wh. This is a comparison inside the calculator's stated model, not a prediction.

Where to use caution

  • Uses industry-standard IEEE, IETF RFC, and GPU/cloud hardware sizing conventions.
  • Capacity planning estimate; benchmark under production traffic patterns before finalizing cluster or hardware procurement.

Scope: IEEE / IETF / Cloud Systems Engineering Standard Check the assumptions and limitations against your situation before relying on the estimate.

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