Energy Storage System (ESS) Discharge Rate Calculator
Model the discharge characteristics of any energy storage system. Enter your battery's capacity, power rating, and chemistry type to calculate C-rate, usable energy, round-trip efficiency, and financial performance. Compare different battery chemistries: Li-ion, LiFePO₄, Lead-Acid, Vanadium Flow, Sodium-Ion, and Solid-State. Understand the impact of depth of discharge, cycle life, and self-discharge on system economics.
Total energy capacity in megawatt-hours
Maximum charge/discharge power in megawatts
Number of full charge/discharge cycles per day
Wholesale electricity price when charging
Revenue or avoided cost when discharging
Usable Capacity = Nameplate × DoD
Max Duration = Usable Capacity / Power
Energy Recovered = Usable × Round-Trip Efficiency
Energy Lost per Cycle = Usable × (1 - RTE)
Profit per Cycle = (Discharge Energy × Sell Price) - (Charge Energy × Buy Price)
Annual Revenue = Profit per Cycle × Cycles/Day × 365
System Life = Cycle Life / (Cycles/Day × 365)
C-Rate: 50/100 = 0.50C (2-hour system)
Usable (90% DoD): 90 MWh
Energy recovered (95% eff): 90 × 0.95 = 85.5 MWh
Energy lost: 90 - 85.5 = 4.5 MWh/cycle
Revenue/cycle: (85.5 × $120) - (90 × $40) = $10,260 - $3,600 = $6,660
Annual revenue: $6,660 × 365 = $2,430,900
System life: 5,000 / 365 = 13.7 years
Lifetime revenue: $2.43M × 13.7 = $33.3M
How is the discharge rate of an energy storage system calculated?
Discharge Rate (MW) = Energy Capacity (MWh) × C-Rate. For a 100 MWh battery with a 0.5C rate, maximum discharge is 50 MW for 2 hours. Actual usable energy = Nameplate Capacity × Depth of Discharge. For a 100 MWh Li-ion battery with 90% DoD: usable = 90 MWh. Accounting for round-trip efficiency: energy recovered = usable × efficiency. A 90 MWh (usable) Li-ion battery at 95% efficiency delivers 85.5 MWh during discharge. The discharge duration at full power = Usable Energy (MWh) / Power Rating (MW).
What is C-rate and how does it affect battery performance?
C-rate is the rate at which a battery is charged or discharged relative to its capacity. A 1C rate means the battery charges or discharges fully in 1 hour. A 0.5C rate takes 2 hours, while a 2C rate takes 30 minutes. Higher C-rates reduce usable capacity: a Li-ion battery at 1C delivers ~95% of rated capacity, at 2C delivers ~85%, and at 3C delivers ~70%. Higher C-rates also generate more heat, increase degradation, and reduce cycle life. For grid storage, typical C-rates are 0.25C (4-hour) to 0.5C (2-hour) for daily cycling, and 1C+ for frequency regulation applications.
How does depth of discharge (DoD) affect battery lifespan?
Battery cycle life is inversely related to DoD. A LiFePO₄ battery cycled at 100% DoD may last 3,000 cycles, but at 50% DoD it can last 10,000+ cycles. Example: A 100 kWh LiFePO₄ battery at 80% DoD (80 kWh usable) with 6,000 cycles delivers 480,000 kWh throughput. At 50% DoD (50 kWh usable), it delivers 500,000+ kWh throughput - similar total energy but with lower daily capacity. Industry rule of thumb: reducing DoD by 10% approximately doubles cycle life. Optimal DoD depends on cost: deeper cycling gives more daily capacity but shorter life.
What is round-trip efficiency and why does it matter?
Round-trip efficiency (RTE) measures the energy recovered relative to the energy stored. Li-ion RTE = 95%, meaning for every 100 kWh stored, 95 kWh is recovered (5 kWh lost as heat during conversion). Flow batteries have lower RTE (~75-80%) but do not degrade with cycling. RTE directly impacts the Levelized Cost of Storage (LCOS): Lower RTE means higher charging costs. For a system cycling daily: Annual loss from RTE = Energy Throughput × (1 - RTE) × Electricity Price. A 100 MWh Li-ion system cycling daily at 95% RTE with $50/MWh power loses ~$91,000/year to efficiency losses.
🔗 Related Calculators
📐 Formula
Usable Capacity = Nameplate × DoD
Max Duration = Usable Capacity / Power
Energy Recovered = Usable × Round-Trip Efficiency
Energy Lost per Cycle = Usable × (1 - RTE)
Profit per Cycle = (Discharge Energy × Sell Price) - (Charge Energy × Buy Price)
Annual Revenue = Profit per Cycle × Cycles/Day × 365
System Life = Cycle Life / (Cycles/Day × 365)
📝 Example Calculation
C-Rate: 50/100 = 0.50C (2-hour system)
Usable (90% DoD): 90 MWh
Energy recovered (95% eff): 90 × 0.95 = 85.5 MWh
Energy lost: 90 - 85.5 = 4.5 MWh/cycle
Revenue/cycle: (85.5 × $120) - (90 × $40) = $10,260 - $3,600 = $6,660
Annual revenue: $6,660 × 365 = $2,430,900
System life: 5,000 / 365 = 13.7 years
Lifetime revenue: $2.43M × 13.7 = $33.3M