... u(t) i(t) dt. P = U I cos Ï, Q=U I sin Ï, S=U I. Basic standard definitions .... Factor Correction (PFC) Handbookâ, rev. 4 â ON Semiconductor, dostÄpne w sieci:.
The new power processor and its application for AC power and energy measurement Jerzy Kolanko, Institute of Biomedical Engineering and Measurement ,Wroclaw University of Technology Piotr Modzel, Institute of Computer Systems for Automation and Measurements Wroclaw Zbigniew Wierzbicki, Institute of Computer Systems for Automation and Measurements Wroclaw Janusz Dudzik, Institute of Computer Systems for Automation and Measurements Wroclaw Przemysław Musz, Institute of Biomedical Engineering and Measurement ,Wroclaw University of Technology
20th IMEKO TC4 International Symposium – Benevento (Italy)
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Presentation outline 1) Problem of powering resistive and capacitive/inductive loads 2) Reactive power compensation 3) Integral definition of electric power 4) Splitting of power signal in time domain 5) Experiment by the heat 6) Power processor errors 7) Summary 20th IMEKO TC4 International Symposium – Benevento (Italy)
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Problem of powering resistive and capacitive/inductive loads
SECTION 1 20th IMEKO TC4 International Symposium – Benevento (Italy)
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Resistive loads • No phase shift • Less common in pratice in field of large loads (mainly heaters, conventional light bulbs, etc.)
20th IMEKO TC4 International Symposium – Benevento (Italy)
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Capacitive/inductive loads • Phase shift dependent on C, L and R values • Common for large industrial loads (motors, solenoids, transformers)
20th IMEKO TC4 International Symposium – Benevento (Italy)
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Reactive power compensation
SECTION 2 20th IMEKO TC4 International Symposium – Benevento (Italy)
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Reactive power compensation Two methods: static compensation
• passive • Active Coils
Switching capacitance regulator
Capacitors
Large industrial capacitors
20th IMEKO TC4 International Symposium – Benevento (Italy)
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Integral power definition
SECTION 3 20th IMEKO TC4 International Symposium – Benevento (Italy)
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Integral power definition Basic standard definitions
P = U I cos φ, Q=U I sin φ, S=U I
P = 1/T ∫ u(t) i(t) dt 20th IMEKO TC4 International Symposium – Benevento (Italy)
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Splitting of power signal in time domain
SECTION 4 20th IMEKO TC4 International Symposium – Benevento (Italy)
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Power in time domain • Splitting p(t)
• Integral equations DIN 40110 Pv = 1/T ∫ 0,5 (u(t)i(t) + Iu(t)i(t)I)dt Pr = 1/T ∫ 0,5 (u(t)i(t) - Iu(t)i(t)I)dt negative sign Pr – direction of energy where: Pv – input power, green line Pr – return power, yellow line than: Pd = 1/T ∫ Iu(t)i(t)I dt Pd = Pv+Pr - patent IKSAiP, WRUT ,PL P = Pv – Pr , Pd = P+2 Pr (power of mutual exchange) 20th IMEKO TC4 International Symposium – Benevento (Italy)
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Power processors New power processor ->
• New power processorP
Landis Gyr
Pd on screen
20th IMEKO TC4 International Symposium – Benevento (Italy)
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Experiment by the heat
SECTION 5 20th IMEKO TC4 International Symposium – Benevento (Italy)
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Laboratory system multiplier
Measurement system
Supply circuit
Measurement situation
20th IMEKO TC4 International Symposium – Benevento (Italy)
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Power measurements for R,RL 23 ° C I=0,78A
Pw [W]
Pwc [W] Pv [W]
Pr [W]
S [VA]
T [°C]
Pd [W]
Pd/S[%]
Φ = 50° 0,76 A
23,1
25,2
28,1
2,8
38,0
50
30,0
78
Φ = 0° 0,76A
34,5
38,4
39,2
0
40,0
66
38,4
96
67
65
73
95
76
78
77 z(6)
U=44,69V
%
1 π −2∣ϕ∣ P D (ϕ)=2UI sin∣ϕ∣+UI cosϕ π π 20th IMEKO TC4 International Symposium – Benevento (Italy)
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Power processor errors
SECTION 6 20th IMEKO TC4 International Symposium – Benevento (Italy)
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Power processor errors Dynamic errors ( 10 kHz) (Pr)
Phase shift error (P, Pv) 20th IMEKO TC4 International Symposium – Benevento (Italy)
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Summary
SECTION 6 20th IMEKO TC4 International Symposium – Benevento (Italy)
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Summary • Splitting p(t) – integral definitions • Relations - P, Pd, Pv, Pr • Physical presence of Pd – proof by the heat • Applications - Power metters, dynamic correctors
20th IMEKO TC4 International Symposium – Benevento (Italy)
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Thanks for attention
20th IMEKO TC4 International Symposium – Benevento (Italy)
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References and sources of images • • • • • • • • • • • • •
http://www.expertsmind.com/topic/inductive-reactance/pure-resistance-9725.aspxfamily.net/wpcontent/uploads/2011/09/light-bulb.jpg http://www.expertsmind.com/topic/inductive-reactance/pure-resistance-9725.aspx http://www.inverterdrive.com/prodimage/600_Marelli-MAA-80-B3-1.jpg http://sub.allaboutcircuits.com/images/02057.png http://www.ni.com/cms/images/devzone/tut/power_triangle_20081203163232.JPG http://static.tme.eu/katalog_pics/4/e/a/4ea004c8fb792c6790e29d25c81c0816/315.99.1015.jpg http://upload.wikimedia.org/wikipedia/commons/e/ed/Condensor_bank_150kV_-_75MVAR.jpg http://gershpost.com/wordpress/wp-content/uploads/2011/12/powerLines.jpg http://www.tme.eu/pl/details/315.99.1015/dlawiki/ducati/# http://www.tme.eu/pl/details/415.04.7225/kondensatory/ducati/# http://www.tme.eu/pl/details/rego5/regulatory-mocy/ducati/415985040/# J. Dudzik, J. Kolanko, P. Modzel, Z. Wierzbicki, „Praktyczne aspekty synchronicznego pomiaru mocy i energii elektrycznej z procesorem mocy” - prezentacja w ramach XXXIX WDNIT 2013 „Power Factor Correction (PFC) Handbook”, rev. 4 – ON Semiconductor, dostępne w sieci: www.onsemi.com/pub/Collateral/HBD853-D.PDF
20th IMEKO TC4 International Symposium – Benevento (Italy)
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WL 1 synchro under development
20th IMEKO TC4 International Symposium – Benevento (Italy)
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WL1 synchro under development
20th IMEKO TC4 International Symposium – Benevento (Italy)
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