Quick Answer
Calculate SmartCity Solar-Battery Hybrid System Power Capacity Sizing Formula
Calculator
Result Interpretation
SmartCity Solar-Battery Hybrid System Power Capacity Sizing Formula Calculator computes Required Hybrid Power System Capacity in kW using the defined engineering formula and the input values provided.
Worked Example
Verified calculation
Given:
- Maximum Expected District Load = 250
- Fraction of Load Supplied by Solar PV (0–1) = 0.6
- Fraction of Load Supplied by Battery (0–1) = 0.4
- Inverter Efficiency = 0.94
- Solar Generation Uncertainty Factor = 0.35
- Battery Round-Trip Efficiency = 0.85
Expected Result:
- Required Hybrid Power System Capacity = 381.96016296967
Engineering Interpretation:
Under the given input conditions, the calculated result is: Required Hybrid Power System Capacity = 381.96016296967 kW.
The actual numerical result is computed by the Runtime engine using the persisted tool definition. The values shown here come from automatically validated test cases.
Formula / Method
required hybrid power system capacity = maximum expected district load * (1 + solar generation uncertainty factor) / (0–1 * inverter efficiency + 0–1 * inverter efficiency * battery round-trip efficiency)Formula family: formula_smartcity_smartcity_solar_battery_hybrid_power_sizing_tool
Variables
| Symbol | Label | Role | Description |
|---|---|---|---|
| max_load_kw | Maximum Expected District Load | INPUT | Maximum Expected District Load |
| solar_uncertainty_factor | Solar Generation Uncertainty Factor | INPUT | Solar Generation Uncertainty Factor |
| solar_fraction | Fraction of Load Supplied by Solar PV (0–1) | INPUT | Fraction of Load Supplied by Solar PV (0–1) |
| battery_fraction | Fraction of Load Supplied by Battery (0–1) | INPUT | Fraction of Load Supplied by Battery (0–1) |
| inverter_efficiency | Inverter Efficiency | INPUT | Inverter Efficiency |
| battery_round_trip_efficiency | Battery Round-Trip Efficiency | INPUT | Battery Round-Trip Efficiency |
| power_system_capacity | Required Hybrid Power System Capacity | OUTPUT | Required Hybrid Power System Capacity |
Calculation Steps
- Enter the maximum expected district load in kW.
- Enter the solar generation uncertainty factor in dimensionless.
- Enter the fraction of load supplied by solar pv (0–1) in dimensionless.
- Enter the fraction of load supplied by battery (0–1) in dimensionless.
- Enter the inverter efficiency in dimensionless.
- Enter the battery round-trip efficiency in dimensionless.
- Step 1: Compute required hybrid power system capacity.
- Read the required hybrid power system capacity (kW) from the results.
Engineering Summary
Calculate SmartCity Solar-Battery Hybrid System Power Capacity Sizing Formula
Frequently Asked Questions
What does this calculator calculate?
The SmartCity Solar-Battery Hybrid System Power Capacity Sizing Formula Calculator estimates Required Hybrid Power System Capacity based on the input parameters you provide
Why is maximum expected district load important in this calculation?
maximum expected district load is directly proportional to required hybrid power system capacity. When you enter maximum expected district load in kW, the calculator uses it in the engineering formula to compute the output
How should I interpret the result required hybrid power system capacity?
The calculator outputs required hybrid power system capacity in kW. The result is computed directly from the input values using the defined engineering formula
What units should I use for the inputs?
Enter each value in the units shown next to the input field: Maximum Expected District Load (kW), Solar Generation Uncertainty Factor (dimensionless), Fraction of Load Supplied by Solar PV (0–1) (dimensionless), Fraction of Load Supplied by Battery (0–1) (dimensionless), Inverter Efficiency (dimensionless), Battery Round-Trip Efficiency (dimensionless). Make sure all inputs use the specified units for consistent results
What assumptions does this calculator use?
This calculator uses automatically validated engineering formulas. Results are approximate and should be validated against site-specific conditions, applicable codes, and professional engineering judgment
Related Tools
Browse More Tools
Explore the full index of engineering calculators on this vertical site.