class: center, middle # EE-361 # 3-PHASE POWER ## Ozan Keysan [keysan.me](http://keysan.me) Office: C-113
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Tel: 210 7586 --- ## Electric Plugs & Sockets
### [Why some countries use different voltage, frequency?](https://www.quora.com/Why-does-India-use-230-V-50HZ-while-the-USA-uses-120V-60HZ) ---
[Different plugs around the world](http://www.worldstandards.eu/electricity/plugs-and-sockets/), [but WHY?](https://www.quora.com/Why-does-India-use-230-V-50HZ-while-the-USA-uses-120V-60HZ) --- ## Electric Plugs & Sockets
--- # Introduction to Three Phase ## Industrial Electric Plugs
--- # Introduction to Three Phase ## Industrial Electric Plugs
--- ## Industrial Electric Plugs
### [IEC 60309 industrial standard](https://www.plugsocketmuseum.nl/IEC60309_2.html) --- # Expired 3-Phase Color Code (Before 2011)
--- # New 3-Phase Color Code (Since 2011)
--- # Electric Vehicle Chargers
### [What are all these pins for?](http://tesla.o.auroraobjects.eu/Design_Guide_Combined_Charging_System_V3_1_1.pdf) --- # CCS: Combined Charging System
--- # Introduction to Three Phase ## Offshore Power Plugs --
--- # Introduction to Three Phase ## Offshore Power Plugs
--- # Introduction to Three Phase ## Transmission Lines
--- # WHY 3 PHASE? (but not 2 or 5?) --
--- # WHY 3 PHASE? (but not 2 or 5?) --
--- # WHY 3-PHASE? -- - ## More power per unit wire length. -- - ## Constant Power [Power Graphs](https://docs.google.com/spreadsheets/d/1RP-MsrHwybAG6J3CFTbdLOCTvGdIdkaWUkhRuAHPWd0/edit?usp=sharing) -- - ## Rotating MMF ### [3-phase](http://people.ece.umn.edu/users/riaz/animations/sinwaves0.gif), [phasor](http://people.ece.umn.edu/users/riaz/animations/vecmovieslow.gif)(wait until EE362 for details) --- # Voltages & Currents ## \\(Va = V_{max} \mathrm{sin} (\omega t)\\) ## \\(Vb = V_{max} \mathrm{sin} (\omega t - 2 \pi /3)\\) ## \\(Vc = V_{max} \mathrm{sin} (\omega t - 4 \pi /3)\\) --- # Voltages & Currents ![](3phase_phasors.png) --- # 3 Phase Phasors
--- # How to measure voltage & currents?
--- # How to measure voltage & currents?
--- # How to measure voltage & currents? ## \\(\vec{V\_{ab}}=\vec{V\_{an}} + \vec{V\_{nb}} = \vec{V\_{an}} - \vec{V\_{bn}} \\) ## If \\(\vec{V\_{an}} = V \angle 0^∘ \\) -- ## \\(\vec{V\_{ab}}= \sqrt 3 V \angle 30^∘\\) --- # What is the Grid Voltage Level? ## Used to be 220 V -- (line-to-neutral RMS) -- ## Peak (line-to-neutral) \\(= 220 \sqrt{2} = 311 \\) V -- ## RMS (line-to-line) \\(= 220 \sqrt{3} \approx 380 \\) V --- # What is the Grid Voltage Level? # NOW [the standard is 230 V](http://www.schneider-electric.co.uk/en/faqs/FA144717/) ## ± 10% (line-to-neutral RMS) ### Due to connection of UK to [European System](https://blogs.dnvgl.com/energy/wp-content/uploads/2014/08/grid.png) -- ## Peak (line-to-neutral) \\(= 230 \sqrt{2} = 325 \\) V -- ## RMS (line-to-line) \\(= 230 \sqrt{3} \approx 400 \\) V --- # Delta (\\(\Delta\\)) - Wye (Y) Connection
--- # Wye(or Star) Connection (Y)
### \\( |V\_{line-to-line}| = \sqrt{3} \; |V\_{phase}|\\) ### \\( |I\_{line}| = |I\_{phase}|\\) --- # Delta Connection (\\(\Delta\\))
### \\( |V\_{line-to-line}| = |V\_{phase}|\\) ### \\( |I\_{line}| = \sqrt{3} \; |I\_{phase}|\\) --- #Power Relations -- ## Regardless of the connection type ## \\( S= 3V\_{phase}I\_{phase}\\) -- ## or ## \\( S= \sqrt{3}V\_{line-to-line}I\_{line}\\) #### [Review of three phase AC circuits](http://www.egr.unlv.edu/~eebag/EE%20340%20-%20Review%203-Phase%20Ckts.pdf) --- # Impedance Transformation ![](http://upload.wikimedia.org/wikipedia/commons/thumb/c/cb/Wye-delta-2.svg/750px-Wye-delta-2.svg.png) ## \\(Z_{\Delta} = 3 Z\_Y \\) --- # Examples --- ## You can download this presentation from: [keysan.me/ee361](http://keysan.me/ee361)