Quick Answer
Calculate Hot-Standby Pump System Availability with Switching Reliability
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Find Engineering Solutions →Result Interpretation
Hot-Standby Pump System Availability with Switching Reliability calculator computes System availability in dimensionless using the defined engineering formula and the input values provided. System availability is expressed in dimensionless. No universal acceptance threshold is defined by this calculator.
Worked Example
Verified calculation
Given:
- Primary pump failure rate = 0.0001
- Mean time to repair primary pump = 2
- Standby pump failure rate (while idle) = 2.0E-5
- Switching reliability (probability switch successfully activates standby) = 0.995
Expected Result:
- System availability = 0.9998001
Engineering Interpretation:
Under the given input conditions, the calculated result is: System availability = 0.9998001 dimensionless.
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
system availability = (1 - primary pump failure rate * mean time to repair primary pump) * (1 - while idle) + (primary pump failure rate * mean time to repair primary pump) * (1 - while idle) * probability switch successfully activates standbyFormula family: formula_reliability_hot_standby_pump_system_availability_calculator_with_switching_reliability
Variables
| Symbol | Label | Role | Description |
|---|---|---|---|
| lambda_p | Primary pump failure rate | INPUT | Primary pump failure rate |
| mttr_p | Mean time to repair primary pump | INPUT | Mean time to repair primary pump |
| lambda_s | Standby pump failure rate (while idle) | INPUT | Standby pump failure rate (while idle) |
| r_s | Switching reliability (probability switch successfully activates standby) | INPUT | Switching reliability (probability switch successfully activates standby) |
| system_availability | System availability | OUTPUT | System availability |
Calculation Steps
- Enter the primary pump failure rate in 1/hour.
- Enter the mean time to repair primary pump in hour.
- Enter the standby pump failure rate (while idle) in 1/hour.
- Enter the switching reliability (probability switch successfully activates standby) in dimensionless.
- Step 1: Compute system availability.
- Read the system availability (dimensionless) from the results.
Engineering Summary
Calculate Hot-Standby Pump System Availability with Switching Reliability
Frequently Asked Questions
What does this calculator calculate?
The Hot-Standby Pump System Availability with Switching Reliability calculator estimates System availability based on the input parameters you provide
Why is primary pump failure rate important in this calculation?
primary pump failure rate is used directly in the calculation of system availability. Its effect on the result depends on the complete formula and the values of the other inputs.. When you enter primary pump failure rate in 1/hour, the calculator uses it in the engineering formula to compute the output
How should I interpret the result system availability?
The calculator outputs system availability in dimensionless. 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: Primary pump failure rate (1/hour), Mean time to repair primary pump (hour), Standby pump failure rate (while idle) (1/hour), Switching reliability (probability switch successfully activates standby) (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
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