NiMH Theoretical Capacity Calculator

Model NiMH capacity from electrode mass and chemistry. Find limits, derating, energy, voltage, and runtime. Export clear results for reports and practical lab notes.

Calculator Inputs

g
g/mol
%
%
g
mAh/g
%
%
V
%
%
%
%
A

Example Data Table

Case Positive mass Negative mass Series Parallel Approximate result
Small pack 8.5 g 7.8 g 6 1 About 1.5 Ah usable
Higher mass cell 12 g 11 g 10 1 Higher voltage and energy
Parallel pack 8.5 g 7.8 g 6 2 Capacity nearly doubles

Formula Used

Positive specific capacity: n × F ÷ (3.6 × M)

Positive capacity: mass × specific capacity × purity × utilization

Negative capacity: mass × specific capacity × purity × utilization

Theoretical cell capacity: minimum of positive and negative capacity

Practical cell capacity: theoretical capacity × discharge efficiency × temperature derating × aging derating

Usable cell capacity: practical capacity × (1 − safety reserve)

Pack energy: pack amp hours × series cells × nominal cell voltage

Runtime: usable pack amp hours ÷ load current

F is the Faraday constant. This file uses 96485.33212 coulombs per mole.

How to Use This Calculator

  1. Enter positive active material mass and molar mass.
  2. Enter electron transfer, purity, and utilization.
  3. Enter negative alloy mass and specific capacity.
  4. Add series cells and parallel strings for the pack.
  5. Set derating values for real operating conditions.
  6. Enter load current to estimate runtime.
  7. Press calculate to view the result above the form.
  8. Use CSV or PDF download for saving results.

Understanding NiMH Theoretical Capacity

A nickel metal hydride cell stores charge through two active electrodes. The positive electrode uses nickel hydroxide. The negative electrode uses a hydrogen absorbing alloy. The ideal capacity comes from electrochemistry, not from a label. This calculator estimates that ideal value first. Then it applies practical factors that reduce usable output.

Why the Limiting Electrode Matters

A cell can only deliver charge until one electrode is exhausted. Extra material on the other side does not add capacity. It only improves balance, aging margin, or safety. The calculator compares the positive electrode capacity with the negative electrode capacity. The smaller value becomes the limiting cell capacity.

Positive Electrode Method

Nickel hydroxide capacity is calculated from Faraday’s law. One mole transfers one mole of electrons during the main reaction. The molar mass, active mass, purity, and utilization define the available milliamp hours. You can edit these values for custom paste blends.

Negative Electrode Method

The metal hydride electrode is often easier to model with specific capacity. Alloy grades may differ. AB5 and AB2 materials may not share the same rating. Enter the tested or supplier stated value in milliamp hours per gram. The calculator adjusts it for purity and utilization.

Practical Pack Output

Real cells lose capacity through internal resistance, temperature, aging, separator limits, and discharge cutoff. The discharge efficiency, temperature derating, and aging derating fields reduce the theoretical limit. A safety reserve can also be removed. This helps estimate usable pack capacity.

Runtime and Energy

Pack energy depends on usable amp hours and nominal voltage. Series cells raise voltage. Parallel strings raise capacity. Runtime divides usable amp hours by the load current. The result is only an estimate. Pulsed loads, high current, poor cooling, and old cells can reduce runtime.

Design Use

Use this tool during early cell design, repair checks, or pack planning. It helps compare electrode balance before building a pack. It also shows whether a target runtime is realistic. Always verify the final design with measured discharge tests under the actual load.

Limits and Checks

This model assumes uniform paste, clean tabs, and stable voltage. Treat results as planning numbers. Keep charge rates conservative. Review heat, venting, and manufacturer limits before final assembly work.

FAQs

What is theoretical NiMH capacity?

It is the ideal charge a cell can store from active electrode material. It uses electrochemical limits before real losses are applied.

Why does the calculator use the smaller electrode capacity?

The cell stops delivering useful charge when one electrode reaches its limit. The smaller side controls total cell capacity.

What is positive electrode utilization?

It is the active fraction that actually participates during discharge. It accounts for paste limits, conductivity, and incomplete reaction.

What negative specific capacity should I enter?

Use the supplier value for the metal hydride alloy. If unknown, use a conservative tested value from similar cell material.

Does series connection increase capacity?

No. Series cells increase pack voltage. Parallel strings increase amp hour capacity. Energy changes when voltage or capacity changes.

Why is safety reserve included?

A reserve keeps the estimate below the full practical capacity. It helps protect against deep discharge and unexpected load conditions.

Can this replace a discharge test?

No. It is a planning calculator. Real cells should be tested at the intended current, temperature, and cutoff voltage.

Why is runtime only an estimate?

Runtime changes with current, temperature, cell age, voltage cutoff, and internal resistance. High current can reduce usable capacity.

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Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.