1. Power and Energy Measurements Chapters: 39 and 42 Juha Kallunki, 5.4.2006

2. Contest Power measurements Power measurements –DC circuits –AC circuits Three-phase systems Three-phase systems High-frequency power measurements High-frequency power measurements Energy measurements Energy measurements –DC circuits –AC circuits Example: Power and energy measurements in motor drives Example: Power and energy measurements in motor drives

3. Power in DC circuits Power Power Can be carried out using a voltmeter and an ammeter (generally) Can be carried out using a voltmeter and an ammeter (generally) Two measurement arrangements Two measurement arrangements Wattmeters: Wattmeters: –Dynamometer –Digital wattmeter –Thermal wattmeter –Hall-power meter

4. DC circuits a) Ammeter measures current which flow into the voltmeter and load b) Voltmeter measures voltage drop across the ammeter in addition to that dropping across the load

5. Dynamometer Power (direct) measurement device for DC and AC systems Power (direct) measurement device for DC and AC systems Accuracy better than 0,25 % Accuracy better than 0,25 % Two coils: static and movable Two coils: static and movable Torque is proportional product of current in current coil and current in voltage coil Torque is proportional product of current in current coil and current in voltage coil

6. Digital wattmeter (up to 100 kHz) Advantages: Advantages: –High-resolution –Accuracy Several techniques (multiplication of signals) Several techniques (multiplication of signals) Electronic multiplier is an analog system which gives as its output a voltage proportional to the power indication required  A/D conversion Electronic multiplier is an analog system which gives as its output a voltage proportional to the power indication required  A/D conversion

7. Hall-power meter Coil generates magnetic field which is proportional to load current Coil generates magnetic field which is proportional to load current The sensor excitation current passes through R1 and is proportional to the load voltage The sensor excitation current passes through R1 and is proportional to the load voltage  Hall voltage is proportional to load power Problems: offset and linearity Problems: offset and linearity

8. Power in AC circuits Instantaneous power (time dependence) Instantaneous power (time dependence) Mean power (usually the most interesting) Mean power (usually the most interesting) Real power (active work), reactive power, apparent power Real power (active work), reactive power, apparent power Measures can be done same way as DC circuit (single-phase) Measures can be done same way as DC circuit (single-phase)

9. AC circuits

10. Low- and Medium- Frequency Power Measurements Three-Voltmeter Method Three-Voltmeter Method –Single-phase arrangements –Power in load can be measured using a non-inductive resistor and measuring the three voltage –Also in DC circuits

11. Line-Frequency Power Measurements Polyphase Power Measurements Polyphase Power Measurements –Three-phase systems are most commonly used in industrial applications – Energy and power generation and distribution –“Real power for consumer” –Reactive power also important (loading) –Power can measured several ways –Power factor

12. Line-Frequency Power Measurements (2) Four (main) different cases which affects to the measurement arrangements: Four (main) different cases which affects to the measurement arrangements: 1.Symmetrical load with neutral conductor 2.Symmetrical load without neutral conductor 3.Unsymmetrical load with neutral conductor 4.Unsymmetrical load without neutral conductor

13. Line-Frequency Power Measurements (3) Measurements can be done several ways (needed arrangements): Measurements can be done several ways (needed arrangements): –One-wattmeter arrangements –Two-wattmeter arrangements –Three-wattmeter arrangements

14. Symmetrical and Balanced systems The supply system is symmetrical and the three-phase load is balanced when phase currents and voltages are equal The supply system is symmetrical and the three-phase load is balanced when phase currents and voltages are equal “Normal situation” “Normal situation”

15. Symmetrical load with neutral conductor

16. Symmetrical load with neutral conductor (2) Number of wattmeters (voltage/current meter) is (n-1) where n is number of conductors Number of wattmeters (voltage/current meter) is (n-1) where n is number of conductors If n=3, only one wattmeter are needed If n=3, only one wattmeter are needed Power factor can be measured for example with “power factor meter” Power factor can be measured for example with “power factor meter” Powers: Powers:

17. Symmetrical load with neutral conductor (3) One wattmeter arrangements for real and reactive power measurements One wattmeter arrangements for real and reactive power measurements

18. Symmetrical load without neutral conductor Active and reactive power can be measured with two power meter (in three-wire system), case of symmetrical load and without neutral conductor (motors), Aron’s theorem Active and reactive power can be measured with two power meter (in three-wire system), case of symmetrical load and without neutral conductor (motors), Aron’s theorem Possible to use also in case of unsymmetrical load Possible to use also in case of unsymmetrical load If power factor is <0,5 then three wattmeter arrangement If power factor is <0,5 then three wattmeter arrangement

19. Symmetrical Power Systems Supplying Unbalanced Loads Current amplitudes are different, and their relative phase is not equal 120° Current amplitudes are different, and their relative phase is not equal 120° Usually it is caused by some fault (short circuit) Usually it is caused by some fault (short circuit) Three- or two wattmeter arrangements (depends on neutral point) Three- or two wattmeter arrangements (depends on neutral point)

20. Symmetrical Power Systems Supplying Unbalanced Loads Four possible arrangements: Four possible arrangements: –Three-wattmeter arrangement –Two-wattmeter arrangement –Barbagelata arrangement –Righi arrangement

21. Two-wattmeter arrangements Measurements arrangements for reactive power measurements Measurements arrangements for reactive power measurements where where

22. Barbagelata arrangements Measurement arrangements for active and reactive power measurements Measurement arrangements for active and reactive power measurements “Two-wattmeter method” “Two-wattmeter method”

23. Righi arrangements Measurement arrangements for reactive power measurements Measurement arrangements for reactive power measurements

24. Conclusion about Three- Wire Systems

25. High-frequency power measurements Radio ( 1 GHz) frequencies Radio ( 1 GHz) frequencies Measurement devices are classified by absorption type and transmitted or throughline type Measurement devices are classified by absorption type and transmitted or throughline type Based on thermistors, thermocouples, diodes or radiation sensors Based on thermistors, thermocouples, diodes or radiation sensors Should be calibrated very carefully Should be calibrated very carefully

26. Thermistor-Based Power Meters A thermistor is resistor made of a compound of highly temperature metallic oxides A thermistor is resistor made of a compound of highly temperature metallic oxides Resistance is a function of the temperature rise produced by applied power Resistance is a function of the temperature rise produced by applied power

27. Calorimetric method Accurate method Accurate method Technique based on direct determination of the heat produced by the input power Technique based on direct determination of the heat produced by the input power “Laboratory method” “Laboratory method”

28. Energy measurements Simplest way is to measure current, voltage and observation interval and compute the product: Simplest way is to measure current, voltage and observation interval and compute the product: Observation interval measures by a chronometer or a time counter Observation interval measures by a chronometer or a time counter Electricity/energy meters: Electricity/energy meters: –Electrodynamic measurement device –Induction meter (AC) –Digital energy meter (AC/DC) Two main parts: Two main parts: –Transducer (Converts power to mechanical or electrical signal) –Counter (Integrates the “energy”)

29. DC Energy Measurements Electrodynamic measurement device (integrating wattmeter) Electrodynamic measurement device (integrating wattmeter) Based on DC motor (no iron) Based on DC motor (no iron) Magnetic field is generating by line current Magnetic field is generating by line current Torque Torque Aluminum disk and permanent magnet gives linear dependence of Γ and power Aluminum disk and permanent magnet gives linear dependence of Γ and power Mechanical counter transfers the rotating motion into a digital or mechanical display Mechanical counter transfers the rotating motion into a digital or mechanical display

30. AC Energy Measurements Induction energy meter (every household) Induction energy meter (every household) Accuracy about 2 % Accuracy about 2 % Current and voltage coil Current and voltage coil AC current (coil)  Eddy currents (disk)  Force to disk AC current (coil)  Eddy currents (disk)  Force to disk Variable powers cause variable rotating speed Variable powers cause variable rotating speed Day and night electricity Day and night electricity

31. AC Energy measurements 1.Current coil and magnetic circuit 2.Voltage coil and magnetic circuit 3.Rotating disk 4.Disk axis 5.Permanent magnet 6.Display

32. Electronic Energy Meters Product of current and voltage. The result is integrated over the observation time Product of current and voltage. The result is integrated over the observation time The most used technique is the time- division multiplier in which pulses are modulated in duration and amplitude of voltage and current The most used technique is the time- division multiplier in which pulses are modulated in duration and amplitude of voltage and current Accuracy: 0,005 % Accuracy: 0,005 %

33. Energy measurements Automatic remote reading in future Automatic remote reading in future –Pricing –Controlling generation/loads Several system under development (GSM, radio link, phone line…) Several system under development (GSM, radio link, phone line…) Energy meters also in var (reactive power) hours and volt-ampere (apparent power) hours Energy meters also in var (reactive power) hours and volt-ampere (apparent power) hours

34. Some Standards General distribution network General distribution network SFS 2537 SFS 2537 –AC energy measurements Measurement arrangements Measurement arrangements SFS 3381 SFS 3381 –AC energy measurements Measurement devices Measurement devices

35. Case: Elevators power and energy consumption measurements ”Two-wattmeter method” ”Two-wattmeter method” –Voltages: U l1 ->U l2 and U l2  U l3 –Currents: I 1 and I 2 –Sample frequency: 20 kHz –Dasylab™ –P = 16 kW, n = 2780 rpm, I = 36 A / 47 A, I = 115 A (start), cosphi = 0,86, height of the shaft = 3,9 m

36. Elevator power consumption Net (green) and motor (blue) power Net (green) and motor (blue) power

37. Elevator energy consumption Total (net) power energy consumption Total (net) power energy consumption

38. The End