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Open resourceIt supports screening calculations from voltage, current and power factor, but verified true package kW from a suitable power analyzer remains the preferred input for specific-power, energy and lifecycle calculations.
1. Purpose and Engineering Decision
Electrical input is the numerator behind specific power, load/unload energy, fleet dispatch, heat recovery and lifecycle cost. If the power boundary is wrong, every downstream energy calculation can be wrong even when the arithmetic is correct.
It records what was measured, where it was measured, whether the compressor was loaded or unloaded, whether auxiliaries were included, and which values were measured directly versus calculated.
Worksheet mode | Primary output |
|---|---|
Direct kW mode | Measured true package kW + measurement trace |
Three-phase screen | Estimated kW from V, I and PF when balanced |
Single-phase screen | Estimated kW from V, I and PF |
kVA / PF mode | Apparent power, real power and PF relationship |
Energy mode | kWh for an operating period |
Audit point | Synchronized kW + pressure + flow + operating state |
Auxiliary boundary | Motor-only vs total package / plant auxiliary input |
2. Measurement Boundary - Motor, Compressor Package or System
Boundary | What it may include | Use |
|---|---|---|
Motor input | Main compressor motor only | Useful for motor diagnostics; incomplete for package energy if auxiliaries are separate |
Compressor package input | Main motor + package fans/pumps/control loads as wired | Preferred basis for compressor specific-power comparison |
Air-treatment package | Dryer, drains, heaters, filters with electrical load where applicable | Add only when the comparison boundary requires it |
Compressed-air system input | All compressors + dryers + cooling auxiliaries + central controls | Useful for plant-level energy balance |
The worksheet must preserve the measurement point so a motor-only kW value is never silently compared against another machine's package kW.
3. True Power, Apparent Power and Power Factor
Power Factor = Real Power (kW) / Apparent Power (kVA)
kVA = kW / PF
Current by itself does not determine true electrical power unless voltage, phase configuration and power factor are also known. For VFD-driven motors and nonlinear loads, a suitable true-power analyzer at the drive input or package supply is preferred to a simple current-based estimate.
4. Balanced Three-Phase Screening Equation
P(kW) = sqrt(3) x V_LL x I_L x PF / 1000
This equation is appropriate as a screening calculation when the three-phase system is sufficiently balanced and the entered current and power factor represent the same operating point. For unbalanced or distorted systems, use direct multi-channel power measurement rather than an average-current shortcut.
5. Single-Phase Screening Equation
P(kW) = V x I x PF / 1000
The same warning applies: this is real-power estimation only when the voltage, current and PF belong to the same load state and waveform conditions are suitable for the instrument and method.
6. Energy over Time
Energy (kWh) = Average Real Power (kW) x Operating Time (h)
If power varies materially during the period, the worksheet should use logged interval energy or the time-weighted sum of operating states rather than multiplying one instantaneous kW reading by total hours.
7. Electrical Measurement Register
Field | Required entry |
|---|---|
Asset ID | Compressor / motor / package identifier |
Measurement point | Incoming package feeder / motor feeder / VFD input / other |
Date / time | Timestamp of reading |
Operating state | Loaded / unloaded / part load / stopped / other |
Discharge pressure | Gauge or absolute basis |
Delivered flow | |
Voltage | Phase-to-phase or phase-to-neutral as applicable |
Current | Per phase where possible |
True kW | Direct measurement preferred |
kVA | Direct or calculated |
PF | Direct or calculated |
Frequency | Hz |
Instrument | Meter / analyzer ID |
Notes | VFD, auxiliaries, abnormalities, control state |
8. Three-Phase Per-Phase Worksheet
Measurement | Phase / pair A | Phase / pair B | Phase / pair C |
|---|---|---|---|
Line-line voltage | V_AB | V_BC | V_CA |
Line current | I_A | I_B | I_C |
Real power channel | If instrument supports | If instrument supports | If instrument supports |
PF | Per-channel if available | Per-channel if available | Per-channel if available |
Per-phase values allow the worksheet to detect imbalance and to avoid hiding one abnormal phase behind a simple average.
9. Voltage Unbalance Screen
Voltage Unbalance (%) = Maximum Deviation from Average Voltage / Average Voltage x 100
The appropriate limit depends on motor, drive, equipment and site requirements.
10. Current Unbalance Screen
Current Unbalance (%) = Maximum Deviation from Average Current / Average Current x 100
Current imbalance can reflect supply imbalance, motor condition, connection issues or process loading. It is a diagnostic flag, not proof of a specific fault.
11. VFD-Driven Compressor Boundary
For a VFD compressor, the most useful energy measurement point is normally the VFD/package input because it captures drive losses and represents purchased electrical power. Measurements at the VFD output require instrumentation suitable for PWM waveforms and are not directly interchangeable with utility-side input kW.
Measurement point | Recommended interpretation |
|---|---|
VFD input | Preferred for package/motor purchased-power analysis |
VFD output | Motor-side diagnostic value; requires suitable instrument |
DC bus | Specialist diagnostic only |
Motor nameplate | Reference rating, not operating input kW |
12. Auxiliary Loads
Fans, oil pumps, cooling-water pumps, dryer loads, heaters and controls can create a meaningful difference between main-motor kW and total package/system kW.
Package kW = Main Motor Input kW + Sum(Auxiliary kW)
Auxiliary | Measurement / estimate |
|---|---|
Cooling fan(s) | Measured kW or verified input |
Oil / water pump | Measured kW or verified input |
Dryer | Separate kW if inside system boundary |
Drain / heater / control | Include if material |
Ventilation fan | Include only if the energy boundary is plant/system level |
13. Reference Test Case A - Balanced Three-Phase Estimate
A compressor feeder is measured at 415 V line-line, 150 A average line current and 0.92 power factor during a stable loaded period.
P = sqrt(3) x 415 x 150 x 0.92 / 1000 = 99.2 kW
Calculated item | Result |
|---|---|
Apparent power | 107.8 kVA |
Estimated real power | 99.2 kW |
Power factor | 0.92 |
This remains a screening result.
14. Reference Test Case B - Why Current Alone Is Insufficient
Two operating points both draw 150 A at 415 V, but one has PF 0.92 and the other PF 0.72.
Point | Current | PF | Estimated kW |
|---|---|---|---|
A | 150 A | 0.92 | 99.2 |
B | 150 A | 0.72 | 77.6 |
The same current corresponds to a difference of about 21.6 kW in this example.
15. Reference Test Case C - Voltage and Current Unbalance
Item | Values | Average | Max-deviation screen |
|---|---|---|---|
Line-line voltage | 414 / 420 / 411 V | 415.0 V | 1.20% |
Line current | 148 / 155 / 143 A | 148.7 A | 4.26% |
The worksheet reports the numerical imbalance for review. It does not diagnose the cause or apply a universal pass/fail limit.
16. Reference Test Case D - Annual Energy from Logged States
A compressor operates 3,000 h/y at 105 kW loaded, 2,000 h/y at 38 kW unloaded and 1,000 h/y stopped at 1.5 kW standby/control power.
Annual kWh = (105 x 3,000) + (38 x 2,000) + (1.5 x 1,000)
Calculated item | Result |
|---|---|
Annual energy | 392,500 kWh/y |
Average over 6,000 operating/standby hours | 65.4 kW |
This state-weighted energy result is more defensible than multiplying one instantaneous loaded kW value by the full annual hours.
17. Synchronized Flow, Pressure and Power
For specific-power analysis, electrical power must be synchronized with delivered flow and operating pressure. A flow reading from one hour and a power reading from another load state should not be divided together.
Synchronized field | Reason |
|---|---|
Package kW | Energy numerator |
Delivered FAD/reference flow | Performance denominator |
Discharge pressure | Defines duty point |
Operating state | Loaded / unloaded / VSD point |
Timestamp | Confirms simultaneous data |
18. Input Model
Input group | Field | Validation / note |
|---|---|---|
Electrical | Phase configuration | Single / three-phase |
Electrical | Voltage | Positive |
Electrical | Current | Positive |
Electrical | Power factor | 0-1 when used for calculation |
Electrical | Measured true kW | Preferred when available |
Electrical | kVA | Optional direct input |
Electrical | Frequency | Positive |
Boundary | Measurement point | Package / motor / VFD input / system |
State | Load state | Required |
Process | Pressure | Required for performance comparison |
Process | Flow | Optional unless specific-power link is used |
Instrument | Analyzer / meter identification | Recommended |
19. Confidence Model
Input source | Suggested confidence |
|---|---|
True-power analyzer + synchronized flow / pressure logger | High |
True-power analyzer at package feeder without flow | High for kW, incomplete for specific power |
V/I/PF screen from calibrated instruments, balanced system | Medium |
Current + assumed PF | Low / preliminary |
Motor nameplate kW used as operating power | Very low / screening only |
20. Validation and Guardrails
Condition | Required behaviour |
|---|---|
Voltage <= 0 | Block calculation |
Current < 0 | Block calculation |
PF <= 0 or > 1 in PF-based mode | Block calculation |
Measured true kW available | Use direct kW as primary; retain calculated screen separately |
Current-only input | Do not return true kW |
Unbalanced phases | Warn that simple balanced three-phase formula may be inadequate |
VFD output measured with unsuitable instrument | Flag result as unreliable / do not use for energy comparison |
Motor-only kW compared with package kW | Flag boundary mismatch |
Power and flow timestamps differ | Block specific-power linkage or lower confidence |
Nameplate kW substituted for operating kW | Label preliminary only |
21. Output Specification
Output | Display rule |
|---|---|
True measured kW | Primary when available |
Calculated screening kW | Clearly labelled estimate |
kVA | Direct or calculated |
Power factor | Direct or calculated where valid |
Voltage / current averages | With phase values retained |
Voltage / current imbalance | Numerical diagnostic % |
Annual / period kWh | From logged states or average kW x time |
Boundary status | Motor / package / VFD input / system |
Only when synchronized flow and pressure exist | |
Confidence / warnings | Always visible |