Lessons

TOPIC 37 · IN-DEPTH TOPIC

Batteries, pumped hydro and long-duration storage

Size power, duration and cycling for a defined market service.

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Model a complete battery cycle

Energy arbitrage requires paying for charging and receiving discharge revenue. Round-trip efficiency connects input and output energy. Cycling cost, auxiliary load, network charges and warranty restrictions affect achievable margin; perfect price foresight is an upper-bound benchmark.

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9 chapters
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01Start with physical feasibility

A storage business model begins with a feasible operating envelope, not a revenue forecast. Define import and export power limits, usable energy, minimum and maximum state of charge, conversion losses and connection constraints. Distinguish cell energy, DC energy and AC-metered energy. A number stated at one boundary cannot be reused at another without accounting for losses.

An energy balance can be written E(t+1) = E(t) + ηcharge × Pcharge × Δt − Pdischarge × Δt / ηdischarge, with consistent units and sign conventions. Add auxiliary consumption and self-discharge when relevant. Respect the applicable state-of-charge limits in every interval, not just at the beginning and end of the day.

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Key terms in plain English
MWh
Megawatt-hour: a quantity of energy. A steady 1 MW for one hour delivers 1 MWh.
Supporting diagrams

Battery power and energy answer different questions

A nominal rating does not promise a four-hour service under every operating condition.

  1. 01 · Discharge power100 MW

    Rate at which energy can be delivered

  2. 02 · Usable delivered energy400 MWh

    Energy available at the stated AC boundary

  3. 03 · Ideal constant duration4 hours

    400 MWh ÷ 100 MW

Synthetic case assumes 400 MWh is already usable and delivered, not cell nameplate energy. Reserve commitments, state of charge, temperature and degradation can shorten the available duration.