ﺷﻤﺎﺭﻩ ﭘﻴﺎﭘﻲ ۶۲
ﻣﺠﻠﻪ ﻣﻬﻨﺪﺳﻲ ﺑﺮﻕ ﺩﺍﻧﺸﮕﺎﻩ ﺗﺒﺮﻳﺰ ،ﺟﻠﺪ ،۴۱ﺷﻤﺎﺭﻩ ۲
ﮐﻨﺘﺮﻝ ﻣﺴﺘﻘﻴﻢ ﺷﺎﺭ ﻭ ﮔﺸﺘﺎﻭﺭ ﻳﮏ ﻣﻮﺗﻮﺭ ﺍﻟﻘﺎﻳﻲ ﺷﺶ ﻓﺎﺯ ﻧﺎﻣﺘﻘﺎﺭﻥ ﺩﺍﻭﺩ ﻗﻨﺒﺮﻱ ،۱ﺩﺍﻧﺸﺠﻮﻱ ﮐﺎﺭﺷﻨﺎﺳﻲ ﺍﺭﺷﺪ ،ﻧﻮﻳﺪﺭﺿﺎﺍﺑﺠﺪﻱ ،۲ﺍﺳﺘﺎﺩﻳﺎﺭ ،ﻏﻼﻣﺮ ﺿﺎ ﻋﺮﺏ ﻣﺎﺭﮐﺪﻩ ،۳ﺍﺳﺘﺎﺩﻳﺎﺭ ،ﺟﻌﻔﺮﺳﻠﻄﺎﻧﻲ ،۴ﺍﺳﺘﺎﺩ -۱ﺩﺍﻧﺸﮑﺪﻩ ﻓﻨﻲ ﻣﻬﻨﺪﺳﻲ -ﺩﺍﻧﺸﮕﺎﻩ ﺷﻬﺮﮐﺮﺩ-ﺷﻬﺮﮐﺮﺩ-ﺍﻳﺮﺍﻥ
[email protected] - -۲ﺩﺍﻧﺸﮑﺪﻩ ﻓﻨﻲ ﻣﻬﻨﺪﺳﻲ -ﺩﺍﻧﺸﮕﺎﻩ ﺷﻬﺮﮐﺮﺩ-ﺷﻬﺮﮐﺮﺩ-ﺍﻳﺮﺍﻥ
[email protected] - -۳ﺩﺍﻧﺸﮑﺪﻩ ﻓﻨﻲ ﻣﻬﻨﺪﺳﻲ -ﺩﺍﻧﺸﮕﺎﻩ ﺷﻬﺮﮐﺮﺩ-ﺷﻬﺮﮐﺮﺩ-ﺍﻳﺮﺍﻥ
[email protected] - -۴ﺩﺍﻧﺸﮑﺪﻩ ﻣﻬﻨﺪﺳﻲ ﺑﺮﻕ -ﺩﺍﻧﺸﮕﺎﻩ ﺁﺯﺍﺩ ﺍﺳﻼﻣﻲ -ﻭﺍﺣﺪ ﺧﻤﻴﻨﻲ ﺷﻬﺮ-ﺧﻤﻴﻨﻲ ﺷﻬﺮ -ﺍﻳﺮﺍﻥ
[email protected] ﺍﺳﺘﺎﺩ ﺑﺎﺯﻧﺸﺴﺘﻪ ﺩﺍﻧﺸﮕﺎﻩ ﺻﻨﻌﺘﻲ ﺍﺻﻔﻬﺎﻥ ﭼﮑﻴﺪﻩ :ﮐﻨﺘﺮﻝ ﻣﺴﺘﻘﻴﻢ ﺷﺎﺭ ﻭ ﮔﺸﺘﺎﻭﺭ ١ﻣﻮﺗﻮﺭ ﺍﻟﻘﺎﻳﻲ ﻳﮑﻲ ﺍﺯ ﺭﻭﺵﻫﺎﻱ ﺑﺴﻴﺎﺭ ﮐﺎﺭﺁﻣﺪ ﺩﺭ ﮐﻨﺘﺮﻝ ﺍﻳﻦ ﻣﺎﺷﻴﻦ ﺍﻟﮑﺘﺮﻳﮑﻲ ﻣﻲ ﺑﺎﺷﺪ .ﺑﺎ ﺍﺳﺘﻔﺎﺩﻩ ﺍﺯ ﺭﻭﺵ ﮐﻨﺘﺮﻝ DTCﻣﺤﺪﻭﺩﻳﺖﻫﺎ ﻭ ﭘﻴﭽﻴﺪﮔﻲﻫﺎﻱ ﮐﻨﺘﺮﻝ ﺑﺮﺩﺍﺭﻱ ﺭﺍ ﻣﻲﺗﻮﺍﻥ ﮐﺎﻫﺶ ﺩﺍﺩ .ﺩﺭ ﺍﻳﻦ ﻣﻘﺎﻟﻪ ﺍﻟﮕﻮﺭﻳﺘﻢ ﮐﻨﺘﺮﻝ ﻣﺴﺘﻘﻴﻢ ﮔﺸﺘﺎﻭﺭ ﻣﻮﺗﻮﺭ ﺍﻟﻘﺎﻳﻲ ﺷﺶ ﻓﺎﺯ ﻧﺎﻣﺘﻘﺎﺭﻥ ﺑﺎ ﺍﺳﺘﻔﺎﺩﻩ ﺍﺯ ﻳﮏ ﺍﻳﻨﻮﺭﺗﺮ ﻣﻨﺒﻊ ﻭﻟﺘﺎﮊ ﺩﻭﺳﻄﺤﻲ ﺍﺭﺍﺋﻪ ﻣﻲﺷﻮﺩ .ﺳﻴﻢ ﭘﻴﭽﻲ ﺍﺳﺘﺎﺗﻮﺭ ﻳﮏ ﻣﻮﺗﻮﺭ ﺍﻟﻘﺎﻳﻲ ﺷﺶ ﻓﺎﺯ ﻧﺎﻣﺘﻘﺎﺭﻥ ﺍﺯ ﺩﻭ ﻣﺠﻤﻮﻋﻪ ﺳﻴﻢ ﭘﻴﭻ ﺳﻪ ﻓﺎﺯ ﮐﻪ ﻧﺴﺒﺖ ﺑﻪ ﻫﻢ ۳۰ﺩﺭﺟﻪ ﺍﺧﺘﻼﻑ ﻓﺎﺯ ﺩﺍﺭﻧﺪ ﺗﺸﮑﻴﻞ ﺷﺪﻩ ﺍﺳﺖ .ﻣﺎﺷﻴﻦ ﺑﺮ ﺍﺳﺎﺱ ﻧﻈﺮﻳﻪ ﺗﺠﺰﻳﻪ ﺑﺮﺩﺍﺭ ﻓﻀﺎﻳﻲ (VSD) ٢ﻣﺪﻟﺴﺎﺯﻱ ﺷﺪﻩ ﺍﺳﺖ .ﺑﺎ ﺍﺳﺘﻔﺎﺩﻩ ﺍﺯ ﺍﻧﺘﺨﺎﺏ ﻣﻨﺎﺳﺐ ﺑﺮﺩﺍﺭﻫﺎﻱ ﮐﻠﻴﺪﺯﻧﻲ ﻣﻲﺗﻮﺍﻥ ﺑﻪ ﺧﻮﺑﻲ ﺷﺎﺭ ﻭ ﮔﺸﺘﺎﻭﺭ ﻣﻮﺗﻮﺭ ﺭﺍ ﮐﻨﺘﺮﻝ ﮐﺮﺩ .ﻧﺘﺎﻳﺞ ﺷﺒﻴﻪ ﺳﺎﺯﻱ ﺍﻳﻦ ﺍﺩﻋﺎ ﺭﺍ ﺍﺛﺒﺎﺕ ﻣﻲ- ﮐﻨﺪ.
ﻭﺍﮊﻩﻫﺎﻱ
ﻛﻠﻴﺪﻱ :ﻣﺎﺷﻴﻦ ﺍﻟﻘﺎﻳﻲ ﺷﺶ ﻓﺎﺯ ،ﮐﻨﺘﺮﻝ ﻣﺴﺘﻘﻴﻢ ﮔﺸﺘﺎﻭﺭ ،ﺗﺠﺰﻳﻪ ﺑﺮﺩﺍﺭ ﻓﻀﺎﻳﻲ
Direct Flux and Torque Control of an Asymmetrical Six-phase Induction Motor Davood Ghanbari, Navid Reza Abjadi, Gholamreza Arab Markadeh, Jafar Soltani
Abstract: Direct flux and torque control (DTC) of induction
motor is one of the most effective methods in control of this electric machine. Using DTC the restrictions and complexities of vector control can be avoided. In this paper, the algorithm of direct torque control of an asymmetrical six-phase induction motor with a two-level voltage source inverter is presented. The stator winding of an asymmetrical six-phase induction motor consists of two three-phase winding sets which have 30 degrees phase displacement. The machine is modeled based on vector space decomposition (VSD) theory. Selecting suitable switching vectors the flux and torque of the motor are controlled properly. The simulation results prove this statement.
Keywords: Six-phase induction motor, direct torque control, vector space decomposition ﺗﺎﺭﻳﺦ ﺍﺭﺳﺎﻝ ﻣﻘﺎﻟﻪ۹۰/۵/۲۵ : ﺗﺎﺭﻳﺦ ﺍﺻﻼﺡ ﻣﻘﺎﻟﻪ۹۱/۴/۲۱ : ﺗﺎﺭﻳﺦ ﭘﺬﻳﺮﺵ ﻣﻘﺎﻟﻪ۹۱/۷/۲۶ : ﻧﺎﻡ ﻧﻮﻳﺴﻨﺪﻩﻱ ﻣﺴﺌﻮﻝ :ﺩﮐﺘﺮ ﻧﻮﻳﺪﺭﺿﺎ ﺍﺑﺠﺪﻱ ﻧﺸﺎﻧﻲ ﻧﻮﻳﺴﻨﺪﻩﻱ ﻣﺴﺌﻮﻝ :ﺍﻳﺮﺍﻥ– ﺷﻬﺮﮐﺮﺩ– ﺩﺍﻧﺸﮕﺎﻩ ﺷﻬﺮﮐﺮﺩ -ﺩﺍﻧﺸﮑﺪﻩ ﻓﻨﻲ ﻣﻬﻨﺪﺳﻲ
Serial No. 62
Journal of Electrical Eng., Vol. 41, No. 2
/۲ﻣﺠﻠﻪ ﻣﻬﻨﺪﺳﻲ ﺑﺮﻕ ﺩﺍﻧﺸﮕﺎﻩ ﺗﺒﺮﻳﺰ ،ﺟﻠﺪ ،۴۱ﺷﻤﺎﺭﻩ ۲
-۱ﻣﻘﺪﻣﻪ
ﮐﻨﺘﺮﻝ ﻣﺴﺘﻘﻴﻢ ﺷﺎﺭ ﻭ ﮔﺸﺘﺎﻭﺭ ﻳﮏ ﻣﻮﺗﻮﺭ ﺍﻟﻘﺎﻳﻲ.........
ﻣﺎﺷﻴﻦﻫﺎ ﺩﺭ ﺑﺮﺍﺑﺮ ﺭﻭﻱ ﺩﺍﺩﻥ ﺧﻄﺎ ﭘﺮﺩﺍﺧﺘﻪ ﺷﺪﻩ ﺍﺳﺖ ﺩﺭ ﺑﺮﺧﻲ ﺩﻳﮕﺮ
ﺩﺭ ﺳﺎﻝﻫﺎﻱ ﺍﺧﻴﺮ ،ﻣﻮﺗﻮﺭﻫﺎﻱ ﺍﻟﻘﺎﻳﻲ ﭼﻨﺪ ﻓﺎﺯﻩ )ﺑـﻴﺶ ﺍﺯ ﺳـﻪ
ﻣﺎﻧﻨﺪ ] [۷ , ۵ﺑﻪ ﻣﺴﺌﻠﻪ ﺗﻐﺬﻳﻪ ﺍﻳﻦ ﻣﺎﺷﻴﻦﻫﺎ ﺑﻪ ﻭﻳﮋﻩ ﺑﺎ ﺗﮑﻨﻴﮏ
ﻓﺎﺯ( ﺑﻪ ﻭﺍﺳﻄﻪ ﻣﺰﺍﻳﺎﻳﻲ ﮐﻪ ﺩﺍﺭﻧﺪ ﺩﺭ ﺻﻨﻌﺖ ﮐﺎﺭﺑﺮﺩﻫﺎﻱ ﻓﺮﺍﻭﺍﻧﻲ ﻳﺎﻓﺘﻪﺍﻧـﺪ
ﻣﺪﻭﻻﺳﻴﻮﻥ ﭘﻬﻨﺎﻱ ﭘﺎﻟﺲ ﺑﺎ ﺑﺮﺩﺍﺭ ﻓﻀﺎﻳﻲ ﭘﺮﺩﺍﺧﺘﻪ ﺷﺪﻩ ﺍﺳﺖ .ﮐﻨﺘﺮﻝ
] .[۱ , ۲ﺍﻭﻟﻴﻦ ﻛﺎﺭﺑﺮﺩﻫﺎﻱ ﺻﻨﻌﺘﻲ ﻣﻮﺗﻮﺭﻫﺎﻱ ﭼﻨﺪ ﻓﺎﺯﻩ ﺑﻪ ﺍﻭﺍﺧـﺮ ﺩﻫـﻪ
ﺑﺮﺩﺍﺭﻱ ﻭ ﺍﺳﺘﻔﺎﺩﻩ ﺍﺯ ﮐﻨﺘﺮﻝ ﻏﻴﺮﺧﻄﻲ ﻣﻮﺿﻮﻉ ﺑﺮﺧﻲ ﺩﻳﮕﺮ ﺍﺯ ﮐﺎﺭﻫﺎﻱ
ﻫﻔﺘﺎﺩ ﻗﺮﻥ ﺑﻴﺴﺘﻢ ﻣﻴﻼﺩﻱ ﺑﺎﺯ ﻣﻲﮔـﺮﺩﺩ .ﺍﻭﻟـﻴﻦ ﻣﻮﺗﻮﺭﻫـﺎﻱ ﭼﻨـﺪ ﻓـﺎﺯﻩ
ﺗﺤﻘﻴﻘﺎﺗﻲ ﻣﻲﺑﺎﺷﺪ ].[۸-۱۱
ﻣﻮﺗﻮﺭﻫﺎﻱ ﭘﻨﺞ ﻓﺎﺯ ﻭ ﻧﻴﺰ ﺷﺶ ﻓﺎﺯ )ﺳﻪ ﻓﺎﺯ ﺩﻭﺳﺘﺎﺭﻩ( ﺑﻮﺩﻧﺪ ﻛﻪ ﺑﻴﺸﺘﺮ ﺑـﻪ
ﺩﺭ ﺍﻳﻦ ﻣﻘﺎﻟﻪ ،ﺑﺎ ﺗﻮﺟﻪ ﺑﻪ ﻣﺸﮑﻼﺕ ﮐﻨﺘﺮﻝ ﺑﺮﺩﺍﺭﻱ ﻧﻈﻴﺮ ﻧﻴﺎﺯ ﺑﻪ
ﻋﻠﺖ ﻛﺎﻫﺶ ﮔﺸﺘﺎﻭﺭ ﺿﺮﺑﺎﻧﻲ ﻧﺴﺒﺖ ﺑﻪ ﻣﻮﺗﻮﺭﻫﺎﻱ ﺳـﻪ ﻓـﺎﺯ ﻣـﻮﺭﺩ ﺗﻮﺟـﻪ
ﺍﻧﺘﻘﺎﻝ ﻣﺘﻐﻴﺮﻫﺎ ﺑﻪ ﺩﺳﺘﮕﺎﻩ ﺳﻨﮑﺮﻭﻥ ،ﺣﺴﺎﺳﻴﺖ ﺯﻳﺎﺩ ﺑﻪ ﭘﺎﺭﺍﻣﺘﺮﻫﺎﻱ
ﻗﺮﺍﺭ ﮔﺮﻓﺘﻨﺪ .ﺍﺯ ﺁﻥ ﭘﺲ ﻛﺎﺭﺑﺮﺩ ﺍﻳﻦ ﻣﻮﺗﻮﺭﻫﺎ ،ﺩﺭ ﺟﺮﻳﺎﻥﻫﺎﻱ ﺑـﺎﻻ ﻣﺎﻧﻨـﺪ
ﻣﺎﺷﻴﻦ ﻭ ﻣﺸﮑﻞ ﺗﻨﻈﻴﻢ ﮐﻨﺘﺮﻝ ﮐﻨﻨﺪﻩﻫﺎﻱ ﺟﺮﻳﺎﻧﻲ ،ﻫﻤﭽﻨﻴﻦ ﻣﺸﮑﻼﺕ ﻭ
ﭘﻴﺸﺮﺍﻥﻫﺎﻱ ﻛﺸﺘﻲ ﻭ ﻗﻄﺎﺭ ﻭ ﺯﻳﺮﺩﺭﻳﺎﻳﻲ ﺭﻭﺯ ﺑﻪ ﺭﻭﺯ ﮔﺴﺘﺮﺵ ﻳﺎﻓﺘﻪ ﺍﺳﺖ.
ﻣﺤﺎﺳﺒﺎﺕ ﻧﺴﺒﺘ ﹰﺎ ﺳﻨﮕﻴﻦ ﺭﻭﺵﻫﺎﻱ ﮐﻨﺘﺮﻝ ﻏﻴﺮﺧﻄﻲ ﻭ ﻣﺪﻭﻻﺳﻴﻮﻥ
ﺩﺭ ﻳﮏ ﻣﻮﺗﻮﺭ ﭘﻴﺸﺮﺍﻥ ﺯﻳﺮﺩﺭﻳﺎﻳﻲ ﺧﺼﻮﺻﻴﺎﺗﻲ ﻫﻤﭽﻮﻥ ﺭﺍﻧﺪﻣﺎﻥ ﺯﻳﺎﺩ،
ﭘﻬﻨﺎﻱ ﭘﺎﻟﺲ ،ﺑﻪ ﮐﻨﺘﺮﻝ ﻣﺴﺘﻘﻴﻢ ﮔﺸﺘﺎﻭﺭ ﻭ ﺷﺎﺭ ﻳﮏ ﻣﺎﺷﻴﻦ ﺷﺶ ﻓﺎﺯ
ﻗﺎﺑﻠﻴﺖ ﺍﻃﻤﻴﻨﺎﻥ ﺑﺎﻻ ﻭ ﻧﻮﻳﺰ ﺻﻮﺗﻲ ﮐﻢ ﺍﺯ ﺍﻫﻤﻴﺖ ﻭﻳﮋﻩ ﺍﻱ ﺑﺮﺧﻮﺭﺩﺍﺭ ﺍﺳﺖ
ﻧﺎﻣﺘﻘﺎﺭﻥ ﭘﺮﺩﺍﺧﺘﻪ ﺷﺪﻩ ﺍﺳﺖ .ﺟﺪﻭﻝﻫﺎﻳﻲ ﺑﺮﺍﻱ ﺍﻳﻦ ﻣﻨﻈﻮﺭ ﺍﺭﺍﺋﻪ ﺷﺪﻩ
ﻭ ﺍﻧﺘﺨﺎﺏ ﺳﺎﺧﺘﺎﺭ ﺁﻥ ﺍﺯ ﺟﻤﻠﻪ ﺗﻌﺪﺍﺩ ﻓﺎﺯ ،ﻗﻄﺐ ﻭ ﻧﺤﻮﻩ ﮐﻨﺘﺮﻝ ﺗﺎ ﺣﺪ
ﺍﺳﺖ ] [۱۲ﻭﻟﻲ ﺍﻳﻦ ﺟﺪﻭﻝﻫﺎ ﺑﺮﺍﻱ ﮔﺸﺘﺎﻭﺭﻫﺎﻱ ﻣﻨﻔﻲ ﻣﺸﮑﻼﺗﻲ ﺩﺍﺭﻧﺪ ﻭ
ﺯﻳﺎﺩﻱ ﻭﺍﺑﺴﺘﻪ ﺑﻪ ﺍﻳﻦ ﺧﺼﻮﺻﻴﺎﺕ ﺍﺳﺖ .ﻣﻮﺗﻮﺭﻫﺎﻱ ﭼﻨﺪ ﻓﺎﺯﻩ ﻣﺰﺍﻳﺎﻱ
ﺟﻮﺍﺑﮕﻮ ﻧﻤﻲﺑﺎﺷﻨﺪ ﻫﻤﭽﻨﻴﻦ ﺑﺎ ﺍﺳﺘﻔﺎﺩﻩ ﺍﺯ ﺍﻳﻦ ﺟﺪﻭﻝﻫﺎ ،ﺩﺭ ﺑﻌﻀﻲ ﺍﺯ
ﺯﻳﺎﺩﻱ ﻧﻈﻴﺮ ﮐﺎﻫﺶ ﺩﺍﻣﻨﻪ ﻭ ﻣﻴﺰﺍﻥ ﺿﺮﺑﺎﻧﺎﺕ ﮔﺸﺘﺎﻭﺭ ،ﮐﺎﻫﺶ ﺩﺍﻣﻨﻪ
ﺣﺎﻟﺖﻫﺎﻱ ﮔﺬﺭﺍ ﺷﺎﺭ ﻣﺎﺷﻴﻦ ﺑﻪ ﻃﻮﺭ ﻧﺎﮔﻬﺎﻧﻲ ﺍﻓﺖ ﻣﻲﮐﻨﺪ .ﺩﺭ ﻣﻘﺎﻻﺕ
ﺟﺮﻳﺎﻥ ﻫﺮ ﻓﺎﺯ ﺑﺪﻭﻥ ﮐﺎﻫﺶ ﻭﻟﺘﺎﮊ ﺁﻥ ،ﮐﺎﻫﺶ ﻫﺎﺭﻣﻮﻧﻴﮏﻫﺎﻱ ﺟﺮﻳﺎﻥ
ﻣﺘﻌﺪﺩﻱ ﻧﻈﻴﺮ ] [۱۳-۱۵ﺑﺎ ﺍﺳﺘﻔﺎﺩﻩ ﺍﺯ ﮐﻨﺘﺮﻝ ﺑﺮﺩﺍﺭﻱ ﻳﺎ ﺗﮑﻨﻴﮏﻫﺎﻱ
ﻟﻴﻨﮏ DCﻭ ﻗﺎﺑﻠﻴﺖ ﺍﻃﻤﻴﻨﺎﻥ ﺑﻴﺸﺘﺮ ﻧﺴﺒﺖ ﺑﻪ ﻣﻮﺗﻮﺭﻫﺎﻱ ﺳﻪ ﻓﺎﺯ ﺩﺍﺭﻧﺪ
ﮐﻨﺘﺮﻝ ﻏﻴﺮﺧﻄﻲ ﻣﺴﺌﻠﻪ ﮐﻨﺘﺮﻝ ﮔﺸﺘﺎﻭﺭ ﻭ ﺷﺎﺭ ﻣﺎﺷﻴﻦ ﻣﻄﺮﺡ ﺷﺪﻩ ﺍﺳﺖ؛
] .[ ۳ , ۴
ﻭﻟﻲ ﺩﺭ ﻭﺍﻗﻊ ،ﺑﺮﺧﻼﻑ ﮐﻨﺘﺮﻝ ﻣﺴﺘﻘﻴﻢ ﮔﺸﺘﺎﻭﺭ ﮐﻼﺳﻴﮏ ،ﺍﻳﻦ ﺭﻭﺵﻫﺎ،
ﺑﺎ ﺍﻓﺰﺍﻳﺶ ﺗﻌﺪﺍﺩ ﻓﺎﺯﻫﺎ ﻫﻤﭽﻨﻴﻦ ﻣﻲﺗﻮﺍﻥ ﻧﺴﺒﺖ ﮔﺸﺘﺎﻭﺭ ﺑﻪ ﺟﺮﻳﺎﻥ
ﺗﺮﮐﻴﺐ ﺭﻭﺵﻫﺎﻱ ﮐﻨﺘﺮﻟﻲ ﺑﺎ ﺗﮑﻨﻴﮏ ﻣﺪﻭﻻﺳﻴﻮﻥ ﭘﻬﻨﺎﻱ ﭘﺎﻟﺲ ﻣﻲﺑﺎﺷﻨﺪ.
ﻣﺆﺛﺮ ﺭﺍ ﺑﻪ ﻃﻮﺭ ﭼﺸﻤﮕﻴﺮﻱ ﺍﻓﺰﺍﻳﺶ ﺩﺍﺩ .ﺑﻪ ﺩﻟﻴﻞ ﺍﻓﺰﺍﻳﺶ ﺩﺭﺟﺎﺕ ﺁﺯﺍﺩﻱ
ﺩﺭ ] [۱۶, ۱۷ﮐﻨﺘﺮﻝ ﻣﺴﺘﻘﻴﻢ ﮔﺸﺘﺎﻭﺭ ﻣﺎﺷﻴﻦ ﺷﺶ ﻓﺎﺯ ﻣﺘﻘﺎﺭﻥ ﻣﻄﺮﺡ
ﺩﺭ ﺍﻳﻦ ﻣﻮﺗﻮﺭﻫﺎ ﻣﻲﺗﻮﺍﻥ ﺑﺎ ﺗﺰﺭﻳﻖ ﻫﺎﺭﻣﻮﻧﻴﮏﻫﺎﻱ ﺧﺎﺹ ﺟﺮﻳﺎﻥ ،ﮔﺸﺘﺎﻭﺭ
ﺷﺪﻩ ﺍﺳﺖ؛ ﺷﺎﻳﺎﻥ ﺫﮐﺮ ﺍﺳﺖ ﮐﻪ ﺗﺒﺪﻳﻼﺕ ﻭ ﺩﺭ ﻧﺘﻴﺠﻪ ﺑﺮﺩﺍﺭﻫﺎﻱ ﮐﻠﻴﺪ
ﺑﻴﺸﺘﺮﻱ ﺗﻮﻟﻴﺪ ﮐﺮﺩ ﻭ ﻳﺎ ﺑﺎ ﻳﮏ ﺳﻴﺴﺘﻢ ﺩﺭﺍﻳﻮ ﻣﺸﺘﺮﮎ ﭼﻨﺪﻳﻦ ﻣﻮﺗﻮﺭ ﺭﺍ
ﻼ ﻣﺘﻔﺎﻭﺗﻨﺪ ﻭ ﺭﻭﺵ ﺯﻧﻲ ﺩﺭ ﺳﻴﺴﺘﻢ ﺷﺶ ﻓﺎﺯ ﻣﺘﻘﺎﺭﻥ ﻭ ﻧﺎﻣﺘﻘﺎﺭﻥ ﮐﺎﻣ ﹰ
ﺗﺤﺮﻳﮏ ﻧﻤﻮﺩ .ﺍﻣﺮﻭﺯﻩ ،ﺍﻳﻦ ﻣﻮﺗﻮﺭﻫﺎ ﺑﻴﺸﺘﺮ ﺩﺭ ﺳﻴﺴﺘﻢ ﻣﺤﺮﮐﻪ ﮐﺸﺘﻲ ﻭ
ﺍﺭﺍﺋﻪ ﺷﺪﻩ ﺑﺮﺍﻱ ﻣﺎﺷﻴﻦ ﻣﺘﻘﺎﺭﻥ ﺑﺮﺍﻱ ﻧﻮﻉ ﻧﺎﻣﺘﻘﺎﺭﻥ ﻗﺎﺑﻞ ﺍﺳﺘﻔﺎﺩﻩ
ﺯﻳﺮﺩﺭﻳﺎﻳﻲ ،ﻭﺳﺎﻳﻞ ﻧﻘﻠﻴﻪ ﻫﺎﻳﺒﺮﻳﺪ ،ﮐﺎﺭﺑﺮﺩﻫﺎﻱ ﻫﻮﺍ ﻓﻀﺎ ﺍﺳﺘﻔﺎﺩﻩ ﻣﻲﺷﻮﻧﺪ.
ﻧﻤﻲﺑﺎﺷﺪ.
ﺑﻌﻀﻲ ﺍﺯ ﻣﺰﺍﻳﺎﻱ ﻣﻮﺗﻮﺭﻫﺎﻱ ﭼﻨﺪﻓﺎﺯﻩ ﺍﺯ ﺟﻤﻠﻪ ﮐﺎﻫﺶ ﻫﺎﺭﻣﻮﻧﻴﮏ ﻭ
ﺩﺭ ﺍﻳﻦ ﻣﻘﺎﻟﻪ ﺟﺪﻭﻟﻲ ﺟﺪﻳﺪ ﺑﺮﺍﻱ ﮐﻨﺘﺮﻝ ﮔﺸﺘﺎﻭﺭ ﻭ ﺷﺎﺭ ﻣﺎﺷﻴﻦ
ﮔﺸﺘﺎﻭﺭﻫﺎﻱ ﺿﺮﺑﻪ ﺍﻱ ﺍﺯ ﺁﻧﺠﺎ ﻧﺎﺷﻲ ﻣﻲﺷﻮﺩ ﮐﻪ ﻣﺎﺷﻴﻦﻫﺎﻱ ﭼﻨﺪﻓﺎﺯ ﺑﺮﺍﻱ
ﺷﺶ ﻓﺎﺯ ﻧﺎﻣﺘﻘﺎﺭﻥ ﺍﺭﺍﺋﻪ ﻣﻲﺷﻮﺩ ﻭ ﮐﺎﺭ ﺁﻳﻲ ﺁﻥ ﺩﺭ ﮐﻨﺘﺮﻝ ﮔﺸﺘﺎﻭﺭ ﻭ ﺷﺎﺭ
ﺗﻐﺬﻳﻪ ﺑﺎ ﺍﻳﻨﻮﺭﺗﺮ ﻃﺮﺍﺣﻲ ﻣﻲﺷﻮﻧﺪ .ﺑﻪ ﻋﺒﺎﺭﺗﻲ ﺍﺯ ﻫﻤﺎﻥ ﺍﺑﺘﺪﺍ ﺑﺮﺍﻱ ﻛﺎﺭ ﺑﺎ
ﺍﺯ ﻃﺮﻳﻖ ﺷﺒﻴﻪ ﺳﺎﺯﻱ ﮐﺎﻣﭙﻴﻮﺗﺮﻱ ﺑﺮﺭﺳﻲ ﻣﻲﺷﻮﺩ .ﺷﺎﻳﺎﻥ ﺫﮐﺮ ﺍﺳﺖ ﮐﻪ
ﺍﻳﻨﻮﺭﺗﺮ ﺳﺎﺯﮔﺎﺭ ﺷﺪﻩﺍﻧﺪ ﺍﻣﺎ ﻣﻌﻤﻮ ﹰﻻ ﺍﺳﺘﺎﻧﺪﺍﺭﺩﻫﺎﻱ ﺳﺎﺧﺖ ﻣﺎﺷﻴﻦﻫﺎﻱ
ﮐﻨﺘﺮﻝ ﻣﺴﺘﻘﻴﻢ ﮔﺸﺘﺎﻭﺭ ﻋﻠﻲ ﺭﻏﻢ ﺳﺎﺩﮔﻲ ﮐﻪ ﭘﻴﺎﺩﻩ ﺳﺎﺯﻱ ﺁﻥ ﺭﺍ ﺑﺴﻴﺎﺭ
ﺳﻪﻓﺎﺯ ﺑﺮﺍﻱ ﮐﺎﺭ ﺑﺎ ﺗﻐﺬﻳﻪ ﺑﺎ ﺑﺮﻕ ﺳﻴﻨﻮﺳﻲ ﺍﻳﺠﺎﺩ ﺷﺪﻩ ﺍﺳﺖ ﻭ ﻋﻤﻠﻜﺮﺩ
ﺁﺳﺎﻥ ﻣﻲﮔﺮﺩﺍﻧﺪ ﻋﻤﺪﻩ ﻣﺸﮑﻼﺕ ﺭﻭﺵ ﮐﻨﺘﺮﻝ ﺑﺮﺩﺍﺭﻱ ﺭﺍ ﻧﺪﺍﺭﺩ ].[۱۸
ﺁﻥﻫﺎ ﺑﺎ ﺍﻳﻨﻮﺭﺗﺮ ،ﻧﺴﺒﺖ ﺑﻪ ﻣﻮﺗﻮﺭﻫﺎﻱ ﭼﻨﺪﻓﺎﺯ ﺑﺪﺗﺮ ﺍﺳﺖ .ﺳﺎﺧﺘﺎﺭﻱ ﮐﻪ ﺩﺭ
ﻋﻼﻭﻩ ﺑﺮ ﺍﻳﻦ ﺩﺭ ﺍﻳﻦ ﻣﻘﺎﻟﻪ ﺑﺮﺍﻱ ﮐﺎﻫﺶ ﺭﻳﭙﻞ ﮔﺸﺘﺎﻭﺭ ﻭ ﺷﺎﺭ ،ﺍﺯ ﻣﻨﻄﻖ
ﺁﻥ ﺩﻭ ﺳﻴﻢﭘﻴﭻ ﻧﺴﺒﺖ ﺑﻪ ﻫﻢ ۳۰ﺩﺭﺟﻪ ﺷﻴﻔﺖ ﺩﺍﺭﻧﺪ ﻣﻌﻤﻮﻝﺗﺮ ﺍﺳﺖ
ﻓﺎﺯﻱ ﺍﺳﺘﻔﺎﺩﻩ ﺷﺪﻩ ﻭ ﮐﻨﺘﺮﻝ ﻣﺴﺘﻘﻴﻢ ﮔﺸﺘﺎﻭﺭ ﻭ ﺷﺎﺭ ﻓﺎﺯﻱ ﻣﺎﺷﻴﻦ ﺷﺶ
] .[۵ﻣﻬﻢﺗﺮﻳﻦ ﺧﺼﻮﺻﻴﺖ ﺍﻳﻦ ﻣﻮﺗﻮﺭ ﺣﺬﻑ ﻫﺎﺭﻣﻮﻧﻴﮏ ﺷﺸﻢ ﺭﻳﭙﻞ
ﻓﺎﺯ ﻧﺎﻣﺘﻘﺎﺭﻥ ﻣﻄﺮﺡ ﻣﻲﺷﻮﺩ .ﺗﺮﮐﻴﺐ ﺭﻭﺵﻫﺎﻱ ﻫﻮﺷﻤﻨﺪ ﻧﻈﻴﺮ ﻣﻨﻄﻖ
ﮔﺸﺘﺎﻭﺭ ﺍﺳﺖ ﮐﻪ ﺩﺭ ﻣﻮﺗﻮﺭﻫﺎﻱ ﺳﻪﻓﺎﺯ ﺗﻐﺬﻳﻪﺷﺪﻩ ﺑﺎ ﺍﻳﻨﻮﺭﺗﺮ ﺍﺗﻔﺎﻕ ﻣﻲ-
ﻓﺎﺯﻱ ،ﺷﺒﮑﻪ ﻫﺎﻱ ﻋﺼﺒﻲ ﻭ ...ﻣﻲﺗﻮﺍﻧﺪ ﺑﺎﻋﺚ ﺑﻬﺒﻮﺩ ﺭﻓﺘﺎﺭ ﺳﻴﺴﺘﻢ ﺣﻠﻘﻪ
ﺍﻓﺘﺪ .ﺩﺭ ﻣﻘﺎﺑﻞ ﻣﻮﺗﻮﺭ ﺷﺶ ﻓﺎﺯ ﻣﺘﻘﺎﺭﻥ ﻗﺮﺍﺭ ﺩﺍﺭﺩ ﮐﻪ ﺩﺭ ] [۶ﺑﻪ ﺁﻥ
ﺑﺴﺘﻪ ﮔﺮﺩﺩ ].[۱۹, ۲۰
ﭘﺮﺩﺍﺧﺘﻪ ﺷﺪﻩ ﺍﺳﺖ. ﮐﺎﺭﻫﺎﻱ ﺗﺤﻘﻴﻘﺎﺗﻲ ﺩﺭ ﺯﻣﻴﻨﻪ ﻣﺎﺷﻴﻦﻫﺎﻱ ﺷﺶ ﻓﺎﺯ ﺟﻨﺒﻪﻫﺎﻱ ﻣﺨﺘﻠﻔﻲ ﺩﺍﺭﺩ ﺩﺭ ﺑﺮﺧﻲ ﻣﺮﺍﺟﻊ ﻣﺎﻧﻨﺪ ] [۶ﺑﻪ ﻣﺴﺌﻠﻪ ﻗﺎﺑﻠﻴﺖ ﺍﻃﻤﻴﻨﺎﻥ ﺍﻳﻦ
Serial No. 62
Journal of Electrical Eng., Vol. 41, No. 2
ﮐﻨﺘﺮﻝ ﻣﺴﺘﻘﻴﻢ ﺷﺎﺭ ﻭ ﮔﺸﺘﺎﻭﺭ ﻳﮏ ﻣﻮﺗﻮﺭ ﺍﻟﻘﺎﻳﻲ.........
/۳ﻣﺠﻠﻪ ﻣﻬﻨﺪﺳﻲ ﺑﺮﻕ ﺩﺍﻧﺸﮕﺎﻩ ﺗﺒﺮﻳﺰ ،ﺟﻠﺪ ،۴۱ﺷﻤﺎﺭﻩ ۲
-۲ﻣﺪﻝﺳﺎﺯﻱ ﻣﺎﺷﻴﻦ ﺷﺶ ﻓﺎﺯ ﻧﺎﻣﺘﻘﺎﺭﻥ ﺷﮑﻞ ) (۱ﺑﻪ ﻃﻮﺭ ﺷﻤﺎﺗﻴﮏ ﺳﻴﻢ ﭘﻴﭻﻫﺎﻱ ﺍﺳﺘﺎﺗﻮﺭ ﻳﮏ ﻣﺎﺷﻴﻦ ﺷﺶ ﻓﺎﺯ ﻧﺎﻣﺘﻘﺎﺭﻥ ﺭﺍ ﻧﺸﺎﻥ ﻣﻲﺩﻫﺪ .ﺩﺭ ﺍﺭﺗﺒﺎﻁ ﺑﺎ ﺍﻳﻦ ﻣﺎﺷﻴﻦ ﺑﻪ ﺟﺎﻱ ﻣﺎﺗﺮﻳﺲ ﺗﺒﺪﻳﻞ ﻣﺘﺪﺍﻭﻝ ﺳﻪ ﻓﺎﺯ ﺍﺯ ﻣﺎﺗﺮﻳﺲ ﺗﺒﺪﻳﻞ ﺯﻳﺮ ﺍﺳﺘﻔﺎﺩﻩ ﻣﻲﺷﻮﺩ ]:[۵ cos 9φ sin 9φ cos 9φ sin 9φ 0 1
cos 8φ sin 8φ cos 4φ sin 4φ 1
cos 5φ sin 5φ cos φ sin φ 0
cos 4φ sin 4φ cos8φ sin 8φ 1
0
1
0
d ) ( L i + L miα r dt s α s d ) v β s = R si β s + ( L si β s + L mi β r dt d ) v xs = R si xs + ( Llsi xs dt d ) v ys = R si ys + ( Llsi ys dt vα s = R siα s +
1 cos φ 0 sin φ 2 x 1 cos 5φ =C 6 y 0 sin 5φ 0 + 1 0 0 − 0 1
α β
)(۲
ﺩﺭ ﺍﻳﻨﺠﺎ R sﻣﻘﺎﻭﻣﺖ ﺍﺳﺘﺎﺗﻮﺭ ﻭ L sﺍﻧﺪﻭﮐﺘﺎﻧﺲ ﺍﺳﺘﺎﺗﻮﺭ L m
ﺍﻧﺪﻭﮐﺘﺎﻧﺲ ﻣﺘﻘﺎﺑﻞ ﻭ L lsﺍﻧﺪﻭﮐﺘﺎﻧﺲ ﻧﺸﺘﻲ ﺍﺳﺘﺎﺗﻮﺭ ﺍﺳﺖ. ﻣﻌﺎﺩﻻﺕ ﻭﻟﺘﺎﮊ ﺭﻭﺗﻮﺭ ﺑﻪ ﻓﺮﻡ ﺯﻳﺮ ﺍﺳﺖ:
0 = R r iα r + ω r ( L r i β r + L mi β s ) +
)(۱ )(۳
d ) ( L i + L miα s dt r α r 0 = R r i β r − ω r ( L r iα r + L miα s) + d ) ( L i + L mi β s dt r β r
.
ﺷﮑﻞ ) :(۱ﻣﻮﺗﻮﺭ ﺍﻟﻘﺎﻳﻲ ﺷﺶ ﻓﺎﺯ ﻧﺎﻣﺘﻘﺎﺭﻥ
)ﺍﻟﻒ( ﻣﺪﺍﺭﻫﺎﻱ ﻣﻌﺎﺩﻝ ) ( α − β
ﺩﺭ ﺍﻳﻨﺠﺎ φ = π / 6ﻭ ﻫﻤﭽﻨﻴﻦ ) ( x, y ) ، (α , βﻭ ) (0+, 0−ﺳﻪ ﺯﻳﺮ ﻓﻀﺎﻱ ﺩﻭ ﺑﻌﺪﻱ ﻋﻤﻮﺩ ﺑﺮ ﻫﻢ ﻫﺴﺘﻨﺪ .ﻣﺆﻟﻔﻪﻫﺎﻱ ) (α , βﺩﺭ ﺗﺒﺪﻳﻞ ﺍﻧﺮﮊﻱ ﻭ ﺗﻮﻟﻴﺪ ﮔﺸﺘﺎﻭﺭ ﻧﻘﺶ ﺩﺍﺭﻧﺪ ﻭ ﻣﺆﻟﻔﻪﻫﺎﻱ ) ( x, yﺩﺭ ﺗﺒﺪﻳﻞ ﺍﻧﺮﮊﻱ ﻫﻴﭻ ﻧﻘﺸﻲ ﻧﺪﺍﺭﻧﺪ ﻭ ﻓﻘﻂ ﺑﺎﻋﺚ ﺗﻠﻔﺎﺕ ﺩﺭ ﻣﺎﺷﻴﻦ ﻣﻲﺷﻮﻧﺪ ﻭ ﻣﺆﻟﻔﻪﻫﺎﻱ ) (0+, 0−ﺑﻪ ﻣﺆﻟﻔﻪﻫﺎﻱ ﺻﻔﺮ ٣ﻣﻌﺮﻭﻑ ﻫﺴﺘﻨﺪ .ﭼﻨﺎﻧﭽﻪ ﻣﺮﺍﮐﺰ ﺳﺘﺎﺭﻩ ﺩﻭ ﻣﺠﻤﻮﻋﻪ ﺳﻪ ﻓﺎﺯ ﺑﻪ ﻳﮑﺪﻳﮕﺮ ﻣﺘﺼﻞ ﻧﺸﻮﺩ ﺍﻳﻦ ﻣﺆﻟﻔﻪﻫﺎ ﺻﻔﺮ ﻣﻲﺷﻮﻧﺪ .ﺑﺎ
)ﺍﻟﻒ( ﻣﺪﺍﺭﻫﺎﻱ ﻣﻌﺎﺩﻝ ) ( x − y
ﺑﻪﮐﺎﺭﮔﻴﺮﻱ ﻣﺎﺗﺮﻳﺲ ﺗﺒﺪﻳﻞ ﻓﻮﻕ ،ﻣﺆﻟﻔﻪ ﺍﻭﻝ ﻭ ﻫﺎﺭﻣﻮﻧﻴﮏﻫﺎﻱ ﺍﺯ ﻣﺮﺗﺒﻪ ) 12m ± 1, (m = 1, 2,3,...ﺑﻪ ﺯﻳﺮﻓﻀﺎﻱ ) (α , βﺗﺼﻮﻳﺮ ﻣﻲﺷﻮﻧﺪ؛ ﻫﺎﺭﻣﻮﻧﻴﮏﻫﺎﻱ ﺍﺯ ﻣﺮﺗﺒﻪ ) 6m ± 1, (m = 1,3,5,...ﺑﻪ ﺯﻳﺮ ﻓﻀﺎﻱ ) ( x, yﺗﺼﻮﻳﺮ ﻣﻲﺷﻮﻧﺪ ﻭ ﻫﺎﺭﻣﻮﻧﻴﮏﻫﺎﻱ ﺗﻮﺍﻟﻲ ﺻﻔﺮ ﺑﻪ ﺯﻳﺮﻓﻀﺎﻱ ) (0+, 0−ﺗﺼﻮﻳﺮ ﻣﻲﺷﻮﻧﺪ ] .[۵ﻣﻌﺎﺩﻻﺕ ﻭﻟﺘﺎﮊ ﺍﺳﺘﺎﺗﻮﺭ ﺩﺭ ﺯﻳﺮ ﻓﻀﺎﻫﺎﻱ
)ﺍﻟﻒ( ﻣﺪﺍﺭﻫﺎﻱ ﻣﻌﺎﺩﻝ ﺗﻮﺍﻟﻲ ﺻﻔﺮ ﺷﮑﻞ ) :(۲ﻣﺪﺍﺭﻫﺎﻱ ﻣﻌﺎﺩﻝ ﻳﮏ ﻣﺎﺷﻴﻦ ﺷﺶ ﻓﺎﺯ ﻧﺎﻣﺘﻘﺎﺭﻥ
) (α , βﻭ ) ( x, yﺑﻪ ﻓﺮﻡ ﺯﻳﺮ ﺍﺳﺖ: Serial No. 62
Journal of Electrical Eng., Vol. 41, No. 2
ﮐﻨﺘﺮﻝ ﻣﺴﺘﻘﻴﻢ ﺷﺎﺭ ﻭ ﮔﺸﺘﺎﻭﺭ ﻳﮏ ﻣﻮﺗﻮﺭ ﺍﻟﻘﺎﻳﻲ.........
/۴ﻣﺠﻠﻪ ﻣﻬﻨﺪﺳﻲ ﺑﺮﻕ ﺩﺍﻧﺸﮕﺎﻩ ﺗﺒﺮﻳﺰ ،ﺟﻠﺪ ،۴۱ﺷﻤﺎﺭﻩ ۲
ﺩﺭ ﺍﻳﻨﺠﺎ R rﻣﻘﺎﻭﻣﺖ ﺭﻭﺗﻮﺭ L rﻭ L lrﺑﻪ ﺗﺮﺗﻴﺐ ﺍﻧﺪﻭﮐﺘﺎﻧﺲ ﺭﻭﺗﻮﺭ ﻭ
-۴ﺭﻭﺵ ﮐﻨﺘﺮﻝ ﻣﺴﺘﻘﻴﻢ ﺷﺎﺭ ﻭ ﮔﺸﺘﺎﻭﺭ ﻣﻮﺗﻮﺭ ﺍﻟﻘﺎﻳﻲ
ﺍﻧﺪﻭﮐﺘﺎﻧﺲ ﻧﺸﺘﻲ ﺭﻭﺗﻮﺭ ﻫﺴﺘﻨﺪ.
ﺷﺶ ﻓﺎﺯ
ﻣﺪﺍﺭﻫﺎﻱ ﻣﻌﺎﺩﻝ ﻣﺎﺷﻴﻦ ﺩﺭ ﺷﮑﻞ ) (۲ﻧﺸﺎﻥ ﺩﺍﺩﻩ ﺷﺪﻩ ﺍﺳﺖ.
ﺭﻭﺵ ﮐﻨﺘﺮﻝ ﻣﺴﺘﻘﻴﻢ ﺷﺎﺭ ﻭ ﮔﺸﺘﺎﻭﺭ ﻣﻮﺗﻮﺭ ﺍﻟﻘﺎﻳﻲ ﺷﺶ ﻓﺎﺯ ﻣﺸﺎﺑﻪ ﺭﻭﺵ
ﮔﺸﺘﺎﻭﺭ ﺍﺯ ﺭﺍﺑﻄﻪ ﺯﻳﺮ ﺑﺪﺳﺖ ﻣﻲﺁﻳﺪ:
) T e = P L m(iα r i β s − i β r iα s
)(۴
ﺩﺭ ﺍﻳﻦ ﺭﺍﺑﻄﻪ Pﺗﻌﺪﺍﺩ ﺯﻭﺝ ﻗﻄﺐ ﺍﺳﺖ.
ﮐﻨﺘﺮﻝ ﻣﺴﺘﻘﻴﻢ ﺷﺎﺭ ﻭ ﮔﺸﺘﺎﻭﺭ ﻣﻮﺗﻮﺭ ﺍﻟﻘﺎﻳﻲ ﺳﻪ ﻓﺎﺯ ﺍﺳﺖ ﮐﻪ ﺍﻧﺘﺨﺎﺏ ﮐﻠﻴﺪ ﺯﻧﻲ ﻣﻨﺎﺳﺐ ﺑﺮ ﺍﺳﺎﺱ ﺧﻄﺎﻱ ﺷﺎﺭ ﻭ ﮔﺸﺘﺎﻭﺭ ﻭ ﻫﻤﭽﻨﻴﻦ ﺯﺍﻭﻳﻪ ﺷﺎﺭ ﺻﻮﺭﺕ ﻣﻲﮔﻴﺮﺩ ﺷﮑﻞ ) (۴ﺑﻠﻮﮎ ﺩﻳﺎﮔﺮﺍﻡ ﺭﻭﺵ ﮐﻨﺘﺮﻝ ﻣﺴﺘﻘﻴﻢ ﮔﺸﺘﺎﻭﺭ ﻣﻮﺗﻮﺭ ﺍﻟﻘﺎﻳﻲ ﺷﺶ ﻓﺎﺯ ﺭﺍ ﻧﺸﺎﻥ ﻣﻲﺩﻫﺪ.
-۳ﺍﻳﻨﻮﺭﺗﺮ ﺷﺶ ﻓﺎﺯ
ﻣﺆﻟﻔﻪﻫﺎﻱ ﺷﺎﺭ ﺍﺳﺘﺎﺗﻮﺭ ﺩﺭ ﺩﺳﺘﮕﺎﻩ ﻣﺨﺘﺼﺎﺕ ﺳﺎﮐﻦ ،ﺑﻪ ﺻﻮﺕ ﺯﻳﺮ
ﺍﺯ ﺍﻳﻨﻮﺭﺗﺮ ﻣﻨﺒﻊ ﻭﻟﺘﺎﮊ ۱۲ﮐﻠﻴﺪﻱ ) ۶ﺳﺎﻗﻪ( ﺑﺮﺍﻱ ﺗﻐﺬﻳﻪ ﻣﻮﺗﻮﺭﻫﺎﻱ ﺷﺶ
ﻗﺎﺑﻞ ﻣﺤﺎﺳﺒﻪ ﻫﺴﺘﻨﺪ
ﻓﺎﺯ ﺍﺳﺘﻔﺎﺩﻩ ﻣﻲﺷﻮﺩ .ﺑﻪ ﻋﻠﺖ ﺍﻳﻨﮑﻪ ﻫﺮ ﮐﻠﻴﺪ ۲ﺣﺎﻟﺖ ﺧﺎﻣﻮﺵ ﻭ ﺭﻭﺷﻦ
)(۶
ﺩﺍﺭﺩ ﺗﻌﺪﺍﺩ 2 6ﺣﺎﻟﺖ ﮐﻠﻴﺪ ﺯﻧﻲ ﻭﺟﻮﺩ ﺩﺍﺭﺩ ﺷﮑﻞ ) (۳ﻳﮏ ﺍﻳﻨﻮﺭﺗﺮ
λ α s = ∫ (vα s − R siα s ) dt λ β s = ∫ (v β s − R si β s ) dt
ﺷﺶ ﻓﺎﺯ ﻣﺘﺼﻞ ﺑﻪ ﺳﻴﻢ ﭘﻴﭽﻲﻫﺎﻱ ﻳﮏ ﻣﺎﺷﻴﻦ ﺷﺶ ﻓﺎﺯ ﺭﺍ ﻧﺸﺎﻥ ﻣﻲ-
ﺗﻌﻴﻴﻦ ﺟﺪﻭﻝ ﮐﻠﻴﺪ ﺯﻧﻲ :
ﺩﻫﺪ.
ﻫﻤﺎﻥ ﻃﻮﺭ ﮐﻪ ﺩﺭ ﺑﺎﻻ ﮔﻔﺘﻪ ﺷﺪ ۶۴ﺣﺎﻟﺖ ﮐﻠﻴﺪﺯﻧﻲ ﻭﺟﻮﺩ ﺩﺍﺭﺩ ﮐﻪ ﻫﺮ ﺣﺎﻟﺖ ﻳﮏ ﺑﺮﺩﺍﺭ ﻭﻟﺘﺎﮊ ﺭﺍ ﺗﻮﻟﻴﺪ ﻣﻲﮐﻨﺪ ﮐﻪ ﺩﺭ ﺍﻧﺘﺨﺎﺏ ﺑﺮﺩﺍﺭﻫﺎﻱ ﮐﻠﻴﺪ
ﺭﻭﺍﺑﻂ ﻭﻟﺘﺎﮊ ﺍﻳﻨﻮﺭﺗﺮ ﺑﻪ ﺻﻮﺭﺕ ﺯﻳﺮ ﺍﺳﺖ: 5 1 ) v aN − (v bN + v cN + v dN + v eN + v fN 6 6 5 1 ) v bs = v bN − (v aN + v cN + v dN + v eN + v fN 6 6 5 1 ) v cs = v cN − (v aN + v bN + v dN + v eN + v fN 6 6 5 1 ) v ds = v dN − (v aN + v bN + v cN + v eN + v fN 6 6 5 1 ) v es = v eN − (v aN + v bN + v cN + v dN + v fN 6 6 5 1 ) v fs = v fN − (v aN + v bN + v cN + v dN + v eN 6 6
= v as
ﺯﻧﻲ ﺑﺎﻳﺪ ﺑﻪ ﺍﻳﻦ ﻧﮑﺘﻪ ﺗﻮﺟﻪ ﺩﺍﺷﺖ ﮐﻪ ﺑﺮﺩﺍﺭﻫﺎﻳﻲ ﺍﻧﺘﺨﺎﺏ ﺷﻮﻧﺪ ﮐﻪ ﺑﺰﺭﮒﺗﺮﻳﻦ ﺩﺍﻣﻨﻪ ﺭﺍ ﺩﺭ ﺯﻳﺮﻓﻀﺎﻱ ) (α , βﻭ ﮐﻮﭼﮑﺘﺮﻳﻦ ﺩﺍﻣﻨﻪ ﺭﺍ ﺩﺭ ﺯﻳﺮ ﻓﻀﺎﻱ ) ، ( x, yﮐﻪ ﺩﺭ ﺗﺒﺪﻳﻞ ﺍﻧﺮﮊﻱ ﻧﻘﺸﻲ ﻧﺪﺍﺭﻧﺪ ،ﺩﺍﺷﺘﻪ ﺑﺎﺷﻨﺪ .ﺷﮑﻞ ) (۵ﻧﺤﻮﻩ ﻗﺮﺍﺭ ﮔﺮﻓﺘﻦ ﺑﺮﺩﺍﺭﻫﺎﻱ ﺑﺰﺭﮒ ﺩﺭ ﺯﻳﺮ ﻓﻀﺎﻱ ) (α , βﻭ ﺗﺼﻮﻳﺮ ﺁﻧﻬﺎ ﺩﺭ ﺯﻳﺮ ﻓﻀﺎﻱ ) ( x, yﺭﺍ ﻧﺸﺎﻥ ﻣﻲﺩﻫﺪ .ﻫﺮ ﺑﺮﺩﺍﺭ ﺑﺰﺭﮒ ﺩﺭ ﺯﻳﺮ ﻓﻀﺎﻱ ﺩﻳﮕﺮ ﻣﻌﺎﺩﻝ ﻳﮏ ﺑﺮﺩﺍﺭ ﮐﻮﭼﮏ ﺍﺳﺖ. ﮔﺸﺘﺎﻭﺭ ﺍﻓﺰﺍﻳﺶ ﻳﺎﻓﺖ ﺑﺎﻳﺪ ﺑﺮﺩﺍﺭﻱ ﺍﻧﺘﺨﺎﺏ ﺷﻮﺩ ﮐﻪ ﺯﺍﻭﻳﻪ ﺷﺎﺭ ﺭﺍ ﺍﻓﺰﺍﻳﺶ ﺩﻫﺪ ﻭ ﺑﺎﻟﻌﮑﺲ؛ ﭼﺮﺍ ﮐﻪ ﺭﺍﺑﻄﻪﻫﺎﻱ ﺯﻳﺮ ﺑﺮﺍﻱ ﮔﺸﺘﺎﻭﺭ ﻭ ﺷﺎﺭ ﺑﺮﻗﺮﺍﺭ ﺍﺳﺖ )(۷
)(۵
T e ∝ λs×I s
)(۸
ﺩﺭ ﺍﻳﻦ ﺭﺍﺑﻄﻪﻫﺎ Nﺳﺮ ﻣﻨﻔﻲ ﻟﻴﻨﮏ DCﺍﺳﺖ.
∆λ s = V sT s
ﺩﺭ ﺍﻳﻨﺠﺎ V sﺑﺮﺩﺍﺭ ﮐﻠﻴﺪﺯﻧﻲ I s ،ﺑﺮﺩﺍﺭ ﺟﺮﻳﺎﻥ ﺍﺳﺘﺎﺗﻮﺭ ﻭ T sﺯﻣﺎﻥ ﻧﻤﻮﻧﻪ ﺑﺮﺩﺍﺭﻱ ﻳﺎ ﮐﻠﻴﺪﺯﻧﻲ ﺍﺳﺖ.
f
b c d e
a
v dc
N
v es v fs
v as
v cs
v ds
v bs
ﺷﮑﻞ ) :(۳ﺍﻳﻨﻮﺭﺗﺮ ﺷﺶ ﻓﺎﺯ Serial No. 62
Journal of Electrical Eng., Vol. 41, No. 2
ﮐﻨﺘﺮﻝ ﻣﺴﺘﻘﻴﻢ ﺷﺎﺭ ﻭ ﮔﺸﺘﺎﻭﺭ ﻳﮏ ﻣﻮﺗﻮﺭ ﺍﻟﻘﺎﻳﻲ.........
/۵ﻣﺠﻠﻪ ﻣﻬﻨﺪﺳﻲ ﺑﺮﻕ ﺩﺍﻧﺸﮕﺎﻩ ﺗﺒﺮﻳﺰ ،ﺟﻠﺪ ،۴۱ﺷﻤﺎﺭﻩ ۲
ωr
Te
λs
ωr
λs Te
ﺷﮑﻞ ) :(۴ﺑﻠﻮﮎ ﺩﻳﺎﮔﺮﺍﻡ ﺭﻭﺵ ﮐﻨﺘﺮﻝ ﻣﺴﺘﻘﻴﻢ ﮔﺸﺘﺎﻭﺭ ﻭ ﺷﺎﺭ ﻣﻮﺗﻮﺭ ﺷﺶ ﻓﺎﺯ
β
ﺷﻮﺩ ﮐﻪ ﺍﻧﺪﺍﺯﻩ ﺷﺎﺭ ﺭﺍ ﺍﻓﺰﺍﻳﺶ ﺩﻫﺪ ﻭ ﺑﺎﻟﻌﮑﺲ ﻭ ﻫﻤﻴﻦﻃﻮﺭ ﺍﮔﺮ ﺧﻄﺎﻱ ﺩﻭ ﺟﺪﻭﻝ ﮐﻠﻴﺪﺯﻧﻲ ﺑﺮﺍﻱ ﺭﻭﺵ ﮐﻨﺘﺮﻝ ﻣﺴﺘﻘﻴﻢ ﺷﺎﺭ ﻭ ﮔﺸﺘﺎﻭﺭ ﺍﻧﺘﺨﺎﺏ ﺷﺪﻩ ﺍﺳﺖ ﺩﺭ ﺯﻳﺮ ﺁﻭﺭﺩﻩ ﺷﺪﻩ ﺍﺳﺖ .ﺟﺪﻭﻝ ) (۱ﺩﺭ ﻣﺮﺟﻊ ][۱۲ﺍﺭﺍﺋﻪ ﺷﺪﻩ ﻭ ﺟﺪﻭﻝ ) (۲ﺩﺭ ﺍﻳﻦ ﻣﻘﺎﻟﻪ ﭘﻴﺸﻨﻬﺎﺩ ﻣﻲﺷﻮﺩ .ﺩﺭ ﺍﻳﻦ ﺟﺪﻭﻝﻫﺎ Tcﻭ λcﺑﻪ ﺗﺮﺗﻴﺐ ﻧﺸﺎﻥ ﺩﻫﻨﺪﻩ ﺗﻐﻴﻴﺮ ﻣﻄﻠﻮﺏ ﮔﺸﺘﺎﻭﺭ ﻭ ﺷﺎﺭ ﺍﺳﺘﺎﺗﻮﺭ
α
)ﺧﺮﻭﺟﻲﻫﺎﻱ ﺑﺎﻧﺪﻫﺎﻱ ﻫﻴﺴﺘﺮﺯﻳﺲ ﺷﮑﻞ ) ((۴ﻣﻲﺑﺎﺷﻨﺪ؛ ﺑﻪ ﻋﺒﺎﺭﺕ ﺩﻳﮕﺮ ﭼﻨﺎﻧﭽﻪ Tcﻭ λcﻫﺮ ﺩﻭ +۱ﺑﺎﺷﻨﺪ ﻻﺯﻡ ﺍﺳﺖ ﮔﺸﺘﺎﻭﺭ ﻭ ﺷﺎﺭ ﺍﺳﺘﺎﺗﻮﺭ ﺍﻓﺰﺍﻳﺶ ﺩﺍﺩﻩ ﺷﻮﺩ ﻭ ﭼﻨﺎﻧﭽﻪ -۱ﺑﺎﺷﻨﺪ ﻻﺯﻡ ﺍﺳﺖ ﮔﺸﺘﺎﻭﺭ ﻭ ﺷﺎﺭ ﺍﺳﺘﺎﺗﻮﺭ ﮐﺎﻫﺶ ﺩﺍﺩﻩ ﺷﻮﺩ .ﺑﺴﺘﻪ ﺑﻪ ﻣﻮﻗﻌﻴﺖ ﺑﺮﺩﺍﺭ ﺷﺎﺭ ،ﺷﻤﺎﺭﻩ ﺑﺮﺩﺍﺭ ﮐﻠﻴﺪﺯﻧﻲ ﻣﻄﻠﻮﺏ ﺩﺭ ﺟﺪﺍﻭﻝ ﺍﺭﺍﺋﻪ ﺷﺪﻩ ﺍﺳﺖ.
)ﺍﻟﻒ( :ﺯﻳﺮﻓﻀﺎﻱ
) (α , β
)ﺏ( :ﺯﻳﺮﻓﻀﺎﻱ
) ( x, y
ﺑﺮﺍﻱ ﻣﺸﺨﺺ ﺷﺪﻥ ﻧﺤﻮﻩ ﺭﺳﻴﺪﻥ ﺑﻪ ﺟﺪﻭﻝ ) (۲ﻳﮏ ﻋﻨﺼﺮ ﺟﺪﻭﻝ ﺑﺪﺳﺖ ﺁﻭﺭﺩﻩ ﻣﻲﺷﻮﺩ .ﻓﺮﺽ ﮐﻨﻴﺪ ﺑﺮﺩﺍﺭ ﺷﺎﺭ ﺍﺳﺘﺎﺗﻮﺭ ﺩﺭ ﻧﺎﺣﻴﻪ s1ﺍﺯ ﺻﻔﺤﻪ α − βﺷﮑﻞ ) (۵ﺑﺎﺷﺪ ،ﻫﻤﭽﻨﻴﻦ ﻓﺮﺽ ﮐﻨﻴﺪ Tcﻭ λcﻫﺮ ﺩﻭ ﻣﺜﺒﺖ ﺑﺎﺷﻨﺪ ﺩﺭ ﺍﻳﻦ ﺣﺎﻟﺖ ﻻﺯﻡ ﺍﺳﺖ ﮔﺸﺘﺎﻭﺭ ﻭ ﺷﺎﺭ ﺍﺳﺘﺎﺗﻮﺭ ﺍﻓﺰﺍﻳﺶ ﺩﺍﺩﻩ ﺷﻮﺩ ﺑﺎ ﻣﺮﺍﺟﻌﻪ ﺑﻪ ﺷﮑﻞ )-۵ﺍﻟﻒ( ﺑﺮﺩﺍﺭﻫﺎﻱ ،v45 ،v41 v52 ،v36 ،v37ﻭ v54ﻫﻤﮕﻲ ﻣﻲﺗﻮﺍﻧﻨﺪ ﺑﺎﻋﺚ ﺍﻓﺰﺍﻳﺶ ﺷﺎﺭ ﺷﻮﻧﺪ ﻭﻟﻲ v37ﻭ v36ﺍﺯ ﻫﻤﻪ ﺑﻴﺸﺘﺮ ﺑﺎﻋﺚ ﺍﻳﻦ ﺍﻓﺰﺍﻳﺶ ﻣﻲﺷﻮﻧﺪ .ﺍﺯ ﻃﺮﻓﻲ v18 ،v22 ،v54 ،v52 ،v36ﻭ v26ﺑﺎﻋﺚ ﺍﻓﺰﺍﻳﺶ ﺯﺍﻭﻳﻪ ﺑﺮﺩﺍﺭ ﺷﺎﺭ ﺷﺪﻩ ﻭ ﺩﺭ ﻧﺘﻴﺠﻪ ﮔﺸﺘﺎﻭﺭ ﺭﺍ ﺍﻓﺰﺍﻳﺶ ﻣﻲﺩﻫﻨﺪ .ﺑﻴﻦ ﺍﻳﻦ ﻣﺠﻤﻮﻋﻪ
ﺷﮑﻞ ) :(۵ﻧﻤﺎﻳﺶ ﺑﺮﺩﺍﺭﻫﺎﻱ ﺑﺰﺭﮒ ﺩﺭ ﺯﻳﺮﻓﻀﺎﻱ ) (α , βﻭ ﺗﺼﻮﻳﺮ ﺁﻥﻫﺎ ﺩﺭ ﺯﻳﺮﻓﻀﺎﻱ
) ( x, y
ﻫﻤﺎﻥ ﻃﻮﺭ ﮐﻪ ﮔﻔﺘﻪ ﺷﺪ ﺍﻧﺘﺨﺎﺏ ﺑﺮﺩﺍﺭ ﻣﻨﺎﺳﺐ ﺑﺴﺘﮕﻲ ﺑﻪ ﺧﻄﺎﻱ ﺷﺎﺭ
ﺑﺮﺩﺍﺭ ﻭ ﻣﺠﻤﻮﻋﻪ ﻗﺒﻠﻲ ﺗﻌﺪﺍﺩﻱ ﺑﺮﺩﺍﺭ ﻣﺸﺘﺮﮎ ﻭﺟﻮﺩ ﺩﺍﺭﺩ ﮐﻪ ﻋﺒﺎﺭﺗﻨﺪ ﺍﺯ v52 ،v36ﻭ v54ﮐﻪ ﺑﺮﺍﻱ ﺟﻠﻮﮔﻴﺮﻱ ﺍﺯ ﺗﻐﻴﻴﺮﺍﺕ ﺷﺪﻳﺪ ﺑﺮﺩﺍﺭ ﻭﺳﻄﻲ ﻳﻌﻨﻲ v52ﺍﻧﺘﺨﺎﺏ ﺷﺪﻩ ﺍﺳﺖ ﮐﻪ ﺍﻭﻟﻴﻦ ﻋﻨﺼﺮ ﺟﺪﻭﻝ )(۲ ﻣﻲﺑﺎﺷﺪ .ﺑﻪ ﻫﻤﻴﻦ ﻃﺮﻳﻖ ﺳﺎﻳﺮ ﻋﻨﺎﺻﺮ ﺟﺪﻭﻝ ﺍﻧﺘﺨﺎﺏ ﻣﻲﮔﺮﺩﻧﺪ.
ﻭ ﮔﺸﺘﺎﻭﺭ ﺩﺍﺭﺩ ﻳﻌﻨﻲ ﺍﮔﺮ ﺧﻄﺎﻱ ﺷﺎﺭ ﺍﻓﺰﺍﻳﺶ ﻳﺎﺑﺪ ﺑﺎﻳﺪ ﺑﺮﺩﺍﺭﻱ ﺍﻧﺘﺨﺎﺏ
Serial No. 62
Journal of Electrical Eng., Vol. 41, No. 2
ﮐﻨﺘﺮﻝ ﻣﺴﺘﻘﻴﻢ ﺷﺎﺭ ﻭ ﮔﺸﺘﺎﻭﺭ ﻳﮏ ﻣﻮﺗﻮﺭ ﺍﻟﻘﺎﻳﻲ.........
/۶ﻣﺠﻠﻪ ﻣﻬﻨﺪﺳﻲ ﺑﺮﻕ ﺩﺍﻧﺸﮕﺎﻩ ﺗﺒﺮﻳﺰ ،ﺟﻠﺪ ،۴۱ﺷﻤﺎﺭﻩ ۲
ﺟﺪﻭﻝ ) :(۳ﻗﻮﺍﻧﻴﻦ ﺳﻴﺴﺘﻢ ﻓﺎﺯﻱ
ﺟﺪﻭﻝ ) :(۱ﺑﺮﺩﺍﺭﻫﺎﻱ ﮐﻠﻴﺪﺯﻧﻲ ﻣﺮﺟﻊ ][12 ﺷﻤﺎﺭﻩ ﻗﻄﺎﻉ
3 6 5 4 3 7 2 6
3 7 5 2 4 5 1 8
ﺧﻄﺎﻱ
ﺷﻤﺎﺭﻩ ﻗﻄﺎﻉ
4 5 3 6 4 1 2 2
4 1 3 7 9 5 4
9 4 5 1 1 5 2
1 1 4 1 2 7 3 6
2 7 9 2 6 3 7
2 6 1 1 1 8 4 5
1 8 2 7 2 2 4 1
2 2 2 6 5 4 9
5 4 1 8 5 2 1 1
5 2 2 2 3 6 2 7
λ c +1
T c
6
5
+1
27
26
18
9
11
27
41
9
11
22
54
52
36
52
36
37
45
41
37
45
41
9
-1 +1
-1
-1
ﺷﺎﺭ
ﮔﺸﺘﺎﻭﺭ
22
54
52
P
26
18
22
Z
PL
27
26
18
N
37
45
P
9
Z
NL
11
N ﺧﻄﺎﻱ
ﺧﻄﺎﻱ
12
11
10
9
8
7
ﺷﺎﺭ
ﮔﺸﺘﺎﻭﺭ
36
37
45
41
9
11
P
54
52
36
37
45
41
Z
22
54
52
36
37
45
N
41
9
11
27
26
18
P
11
27
26
18
22
54
Z
27
26
18
22
54
52
N
36
3
4
2
1
ﺷﻤﺎﺭﻩ ﻗﻄﺎﻉ
ﺟﺪﻭﻝ ) :(۲ﺑﺮﺩﺍﺭﻫﺎﻱ ﮐﻠﻴﺪﺯﻧﻲ ﭘﻴﺸﻨﻬﺎﺩﻱ ﺷﻤﺎﺭﻩ ﻗﻄﺎﻉ
3 6 2 2 4 1 2 7
3 7 5 4 9 2 6
4 5 5 2 1 1 1 8
4 1 3 6 2 7 2 2
9 3 7 2 6 5 4
1 1 4 5 1 8 5 2
2 7 4 1 2 2 3 6
2 6 9 5 4 3 7
1 8 1 1 5 2 4 5
2 2 2 7 3 6 4 1
5 4 2 6 3 7 9
5 2 1 8 4 5 1 1
λ c
T c
+1
+1
-1 +1
-1
ﺧﻄﺎﻱ
PL
NL
-1
-۵ﺭﻭﺵ ﮐﻨﺘﺮﻝ ﻣﺴﺘﻘﻴﻢ ﺷﺎﺭ ﻭ ﮔﺸﺘﺎﻭﺭ ﻓﺎﺯﻱ ﺑﺎ ﺑﮑﺎﺭ ﮔﻴﺮﻱ ﻣﻨﻄﻖ ﻓﺎﺯﻱ ﻣﻲﺗﻮﺍﻥ ﺭﻳﭙﻞ ﻣﻮﺟﻮﺩ ﺩﺭ ﮔﺸﺘﺎﻭﺭ ﻭ ﺷﺎﺭ ﺭﺍ ﮐﺎﻫﺶ ﺩﺍﺩ .ﺩﺭ ﺍﻳﻦ ﻗﺴﻤﺖ ﺑﺎ ﺍﺳﺘﻔﺎﺩﻩ ﺍﺯ ﺟﺪﻭﻝ ) ،(۲ﺑﺮﺩﺍﺭ ﮐﻠﻴﺪﺯﻧﻲ ﻣﻄﻠﻮﺏ ﺑﺎ ﺑﻪﮐﺎﺭﮔﻴﺮﻱ ﻣﻨﻄﻖ ﻓﺎﺯﻱ ﺑﺪﺳﺖ ﺁﻭﺭﺩﻩ ﻣﻲﺷﻮﺩ .ﺩﺭ ﺍﻳﻦ
)ﺍﻟﻒ( ﺗﻮﺍﺑﻊ ﻋﻀﻮﻳﺖ ﺯﺍﻭﻳﻪ ﺑﺮﺩﺍﺭ ﺷﺎﺭ ﺍﺳﺘﺎﺗﻮﺭ
ﺳﻴﺴﺘﻢ ﻓﺎﺯﻱ ﺳﻪ ﻭﺭﻭﺩﻱ ﺯﺍﻭﻳﻪ ﺷﺎﺭ ،ﺧﻄﺎﻱ ﮔﺸﺘﺎﻭﺭ ﻭ ﺧﻄﺎﻱ ﺷﺎﺭ ﺩﺭ ﻧﻈﺮ ﮔﺮﻓﺘﻪ ﻣﻲﺷﻮﺩ ﻭ ﻳﮏ ﺧﺮﻭﺟﻲ ﺷﻤﺎﺭﻩ ﺑﺮﺩﺍﺭ ﮐﻠﻴﺪﺯﻧﻲ .ﺗﻮﺍﺑﻊ ﻋﻀﻮﻳﺖ ﺍﻧﺘﺨﺎﺑﻲ ﻭﺭﻭﺩﻱﻫﺎ ﻭ ﺧﺮﻭﺟﻲ ﺩﺭ ﺷﮑﻞ ) (۶ﻧﺸﺎﻥ ﺩﺍﺩﻩ ﺷﺪﻩ ﺍﺳﺖ .ﻗﻮﺍﻧﻴﻦ ﺳﻴﺴﺘﻢ ﻓﺎﺯﻱ ﺩﺭ ﺟﺪﻭﻝ ) (۳ﺁﻭﺭﺩﻩ ﺷﺪﻩ ﺍﺳﺖ .ﺑﺮﺍﻱ ﺧﻄﺎﻱ ﮔﺸﺘﺎﻭﺭ ﺍﺯ ﺩﻭ ﻣﺘﻐﻴﺮ ﺯﺑﺎﻧﻲ ﺧﻴﻠﻲ ﻣﺜﺒﺖ ) (PLﻭ ﺧﻴﻠﻲ ﻣﻨﻔﻲ
)ﺏ( ﺗﻮﺍﺑﻊ ﻋﻀﻮﻳﺖ ﺧﻄﺎﻱ ﮔﺸﺘﺎﻭﺭ
) ،(NLﺑﺮﺍﻱ ﺧﻄﺎﻱ ﺷﺎﺭ ﺍﺯ ﺳﻪ ﻣﺘﻐﻴﺮ ﺯﺑﺎﻧﻲ ﻣﻨﻔﻲ ) ،(Nﺻﻔﺮ ) (Zﻭ ﻣﺜﺒﺖ ) (Pﻭ ﺑﺮﺍﻱ ﺯﺍﻭﻳﻪ ﺑﺮﺩﺍﺭ ﺷﺎﺭ ﺍﺯ ۱۲ﻣﺘﻐﻴﺮ ﺯﺑﺎﻧﻲ ﺍﺳﺘﻔﺎﺩﻩ ﺷﺪﻩ ﺍﺳﺖ .ﺟﺪﻭﻝ ) (۳ﺑﺮﮔﺮﻓﺘﻪ ﺍﺯ ﺟﺪﻭﻝ ) (۲ﻣﻲﺑﺎﺷﺪ ﻭ ﻗﻮﺍﻧﻴﻦ ﺳﻴﺴﺘﻢ ﻓﺎﺯﻱ ﺭﺍ ﻧﺸﺎﻥ ﻣﻲﺩﻫﺪ. )ﺝ( ﺗﻮﺍﺑﻊ ﻋﻀﻮﻳﺖ ﺧﻄﺎﻱ ﺷﺎﺭ
)ﺩ( ﺗﻮﺍﺑﻊ ﻋﻀﻮﻳﺖ ﺧﺮﻭﺟﻲ ﺷﮑﻞ ) :(۶ﻧﻤﺎﻳﺶ ﺗﻮﺍﺑﻊ ﻋﻀﻮﻳﺖ ﻣﺘﻐﻴﺮﻫﺎﻱ ﻭﺭﻭﺩﻱ ﻭ ﺧﺮﻭﺟﻲ ﺳﻴﺴﺘﻢ ﻓﺎﺯﻱ
Serial No. 62
Journal of Electrical Eng., Vol. 41, No. 2
/۷ﻣﺠﻠﻪ ﻣﻬﻨﺪﺳﻲ ﺑﺮﻕ ﺩﺍﻧﺸﮕﺎﻩ ﺗﺒﺮﻳﺰ ،ﺟﻠﺪ ،۴۱ﺷﻤﺎﺭﻩ ۲
ﮐﻨﺘﺮﻝ ﻣﺴﺘﻘﻴﻢ ﺷﺎﺭ ﻭ ﮔﺸﺘﺎﻭﺭ ﻳﮏ ﻣﻮﺗﻮﺭ ﺍﻟﻘﺎﻳﻲ.........
-۵ﻧﺘﺎﻳﺞ ﺷﺒﻴﻪ ﺳﺎﺯﻱ
ﺟﺮﻳﺎﻥﻫﺎ ﻫﻢ ﻣﺸﺨﺺ ﺍﺳﺖ ﻭﻟﻲ ﺑﺎ ﺍﻧﺘﺨﺎﺏ ﻣﻨﺎﺳﺐ ﻭ ﺑﻬﻴﻨﻪ ﺑﺮﺩﺍﺭﻫﺎ
ﻧﺘﺎﻳﺞ ﺁﺯﻣﺎﻳﺶﻫﺎﻱ ﮐﻨﺘﺮﻝ ﮔﺸﺘﺎﻭﺭ ﺑﺮﺍﻱ ﻫﺮ ﺩﻭ ﺟﺪﻭﻝ ﺩﺭ ﺷﮑﻞﻫﺎﻱ
ﮐﻪ ﺩﺭ ﺟﺪﻭﻝ ) (۲ﻧﺸﺎﻥ ﺩﺍﺩﻩ ﺷﺪﻩ ﺍﺳﺖ ﮔﺸﺘﺎﻭﺭ ﻣﺎﺷﻴﻦ ،ﮔﺸﺘﺎﻭﺭ
) (۶ﻭ ) (۷ﻧﺸﺎﻥ ﺩﺍﺩﻩ ﺷﺪﻩ ﺍﺳﺖ .ﻫﻤﺎﻥ ﻃﻮﺭ ﮐﻪ ﺩﺭ ﺷﮑﻞﻫﺎﻱ ) (۶ﻭ
ﻣﺮﺟﻊ ﺭﺍ ﺑﻪ ﺧﻮﺑﻲ ﺩﻧﺒﺎﻝ ﻣﻲﮐﻨﺪ ﻭ ﻫﻤﻴﻦ ﻃﻮﺭ ﻣﺸﮑﻞ ﺷﺎﺭ ﻣﺎﺷﻴﻦ
) (۷ﻣﺸﺨﺺ ﺍﺳﺖ ﮔﺸﺘﺎﻭﺭ ﻣﺮﺟﻊ ﺗﺎ ﺯﻣﺎﻥ ۱ﺛﺎﻧﻴﻪ ﺭﻭﻱ ۱۰ﻧﻴﻮﺗﻦ ﻣﺘﺮ
ﺑﺮﻃﺮﻑ ﻣﻲﺷﻮﺩ ﻭ ﺟﺮﻳﺎﻥ ﻣﺎﺷﻴﻦ ﺑﻪ ﺷﮑﻞ ﺳﻴﻨﻮﺳﻲ ﻣﻲﺷﻮﺩ .ﮔﺸﺘﺎﻭﺭ
ﻭ ﺩﺭ ﺯﻣﺎﻥﻫﺎﻱ ﺑﻴﺶ ﺍﺯ ۱ﺛﺎﻧﻴﻪ ﺭﻭﻱ -۱۰ﻧﻴﻮﺗﻦ ﻣﺘﺮ ﻓﺮﻣﺎﻥ ﺩﺍﺩﻩ ﺷﺪﻩ
ﺍﻟﮑﺘﺮﻭﻣﻐﻨﺎﻃﻴﺴﻲ ﺍﺯ ﺩﻳﻨﺎﻣﻴﮏ ﺧﻮﺑﻲ ﺑﺮﺧﻮﺭﺩﺍﺭ ﺍﺳﺖ ﻭ ﺩﺍﺭﺍﻱ ﺭﻳﭙﻞ
ﮐﻪ ﺩﺭ ﺟﺪﻭﻝ ) (۱ﺑﺎ ﺍﻧﺘﺨﺎﺏ ﻧﺎﻣﻨﺎﺳﺐ ﺑﻌﻀﻲ ﺍﺯ ﺑﺮﺩﺍﺭﻫﺎ ،ﮔﺸﺘﺎﻭﺭ
ﮐﻤﻲ ﻣﻲﺑﺎﺷﺪ ﺑﺎ ﺍﻳﻦ ﻭﺟﻮﺩ ﺑﺮﺍﻱ ﮐﺎﻫﺶ ﺑﻴﺸﺘﺮ ﺭﻳﭙﻞ ﻭ ﺩﺍﺷﺘﻦ ﺭﻓﺘﺎﺭ
ﺗﻮﻟﻴﺪﻱ ،ﮔﺸﺘﺎﻭﺭ ﻣﺮﺟﻊ ﺯﻣﺎﻧﻲ ﮐﻪ ﻣﺜﺒﺖ ﺍﺳﺖ ﺭﺍ ﺩﻧﺒﺎﻝ ﻣﻲﮐﻨﺪ ﻭﻟﻲ
ﺑﻬﺘﺮ )ﮐﺎﻫﺶ ﻟﺮﺯﺵ ﻭ ﺳﺮ ﻭ ﺻﺪﺍﻱ ﻣﺎﺷﻴﻦ( ﺍﺯ ﺭﻭﺵ ﮐﻨﺘﺮﻝ ﻣﺴﺘﻘﻴﻢ
ﮔﺸﺘﺎﻭﺭ ﻣﻨﻔﻲ ﺭﺍ ﻧﻤﻲﺗﻮﺍﻧﺪ ﺑﻪ ﺧﻮﺑﻲ ﺩﻧﺒﺎﻝ ﮐﻨﺪ ﻭ ﻫﻤﻴﻦ ﻃﻮﺭ ﺳﺮﻋﺖ
ﮔﺸﺘﺎﻭﺭ ﻭ ﺷﺎﺭ ﻓﺎﺯﻱ ﺍﺳﺘﻔﺎﺩﻩ ﻣﻲﺷﻮﺩ.
ﺩﺭ ﺯﻣﺎﻧﻲ ﮐﻪ ﮔﺸﺘﺎﻭﺭ ﻣﻨﻔﻲ ﻓﺮﻣﺎﻥ ﺩﺍﺩﻩ ﻣﻲﺷﻮﺩ ﻧﺎﮔﻬﺎﻥ ﺑﻪ ﺻﻔﺮ ﻣﻲ- ﺭﺳﺪ ﻭ ﻳﺎ ﺩﺭ ﺷﺎﺭ ﺗﻮﻟﻴﺪﻱ ﺍﻓﺖ ﻣﺸﺎﻫﺪﻩ ﻣﻲﺷﻮﺩ ﻭ ﺍﻳﻦ ﻣﺸﮑﻼﺕ ﺩﺭ
ﮔﺸﺘﺎﻭﺭ ﺍﻟﮑﺘﺮﻭﻣﻐﻨﺎﻃﻴﺴﻲ
ﺳﺮﻋﺖ ﻣﻮﺗﻮﺭ
Serial No. 62
ﮔﺸﺘﺎﻭﺭ ﺍﻟﮑﺘﺮﻭﻣﻐﻨﺎﻃﻴﺴﻲ
ﺳﺮﻋﺖ ﻣﻮﺗﻮﺭ
Journal of Electrical Eng., Vol. 41, No. 2
ﮐﻨﺘﺮﻝ ﻣﺴﺘﻘﻴﻢ ﺷﺎﺭ ﻭ ﮔﺸﺘﺎﻭﺭ ﻳﮏ ﻣﻮﺗﻮﺭ ﺍﻟﻘﺎﻳﻲ.........
/۸ﻣﺠﻠﻪ ﻣﻬﻨﺪﺳﻲ ﺑﺮﻕ ﺩﺍﻧﺸﮕﺎﻩ ﺗﺒﺮﻳﺰ ،ﺟﻠﺪ ،۴۱ﺷﻤﺎﺭﻩ ۲
ﺟﺮﻳﺎﻥ ﻳﮏ ﻓﺎﺯ ﺍﺳﺘﺎﺗﻮﺭ
ﺟﺮﻳﺎﻥ ﻳﮏ ﻓﺎﺯ ﺍﺳﺘﺎﺗﻮﺭ
ﺷﮑﻞ ) :(۶ﻧﺘﺎﻳﺞ ﺣﺎﺻﻞ ﺍﺯ ﺷﺒﻴﻪ ﺳﺎﺯﻱ ﮐﻨﺘﺮﻝ ﮔﺸﺘﺎﻭﺭ ﺑﺎ ﺍﺳﺘﻔﺎﺩﻩ ﺍﺯ
ﺷﮑﻞ ) :(۷ﻧﺘﺎﻳﺞ ﺣﺎﺻﻞ ﺍﺯ ﺷﺒﻴﻪ ﺳﺎﺯﻱ ﮐﻨﺘﺮﻝ ﮔﺸﺘﺎﻭﺭ ﺑﺎ ﺍﺳﺘﻔﺎﺩﻩ ﺍﺯ
ﺑﺮﺩﺍﺭﻫﺎﻱ ﺟﺪﻭﻝ )(۱
ﺑﺮﺩﺍﺭﻫﺎﻱ ﺟﺪﻭﻝ )(۲
ﻣﺆﻟﻔﻪ ﻋﻤﻮﺩ ﺷﺎﺭ ﺍﺳﺘﺎﺗﻮﺭ
ﻣﺆﻟﻔﻪ ﻋﻤﻮﺩ ﺷﺎﺭ ﺍﺳﺘﺎﺗﻮﺭ
ﺍﺩﺍﻣﻪ ﺷﮑﻞ ) :(۶ﻧﺘﺎﻳﺞ ﺣﺎﺻﻞ ﺍﺯ ﺷﺒﻴﻪ ﺳﺎﺯﻱ ﮐﻨﺘﺮﻝ ﮔﺸﺘﺎﻭﺭ ﺑﺎ ﺍﺳﺘﻔﺎﺩﻩ ﺍﺯ
ﺍﺩﺍﻣﻪ ﺷﮑﻞ ) :(۷ﻧﺘﺎﻳﺞ ﺣﺎﺻﻞ ﺍﺯ ﺷﺒﻴﻪ ﺳﺎﺯﻱ ﮐﻨﺘﺮﻝ ﮔﺸﺘﺎﻭﺭ ﺑﺎ ﺍﺳﺘﻔﺎﺩﻩ ﺍﺯ ﺑﺮﺩﺍﺭﻫﺎﻱ ﺟﺪﻭﻝ )(۲
ﺑﺮﺩﺍﺭﻫﺎﻱ ﺟﺪﻭﻝ )(۱
ﻧﺘﺎﻳﺞ ﺁﺯﻣﺎﻳﺶﻫﺎﻱ ﮐﻨﺘﺮﻝ ﮔﺸﺘﺎﻭﺭ ﺑﺮﺍﻱ ﺭﻭﺵ ﮐﻼﺳﻴﮏ ﺟﺪﻭﻝ
ﺗﺮﺳﻴﻢ ﺷﺪﻩﺍﻧﺪ ﮐﻪ ﺩﺭ ﺭﻭﺵ ﻓﺎﺯﻱ ﺷﮑﻞ ﺑﺪﺳﺖ ﺁﻣﺪﻩ ﺑﻪ ﻳﮏ ﺩﺍﻳﺮﻩ
ﭘﻴﺸﻨﻬﺎﺩﻱ ) (۲ﻭ ﺭﻭﺵ ﻓﺎﺯﻱ ﺑﻪ ﺗﺮﺗﻴﺐ ﺩﺭ ﺷﮑﻞﻫﺎﻱ ) (۸ﻭ ) (۹ﻧﺸﺎﻥ
ﻧﺰﺩﻳﮏﺗﺮ ﺍﺳﺖ.
ﺩﺍﺩﻩ ﺷﺪﻩ ﺍﺳﺖ .ﺍﻳﻦ ﻧﺘﺎﻳﺞ ﺑﺮﺗﺮﻱ ﺭﻭﺵ ﻓﺎﺯﻱ ﭘﻴﺸﻨﻬﺎﺩﻱ ﺭﺍ ﺑﻪ ﻧﻤﺎﻳﺶ
ﺑﺮﺍﻱ ﻣﻘﺎﻳﺴﻪ ﺑﻴﺸﺘﺮ ﺭﻭﺵ ﮐﻼﺳﻴﮏ ﺟﺪﻭﻝ ﭘﻴﺸﻨﻬﺎﺩﻱ ) (۲ﺑﺎ ﺭﻭﺵ
ﻣﻲﮔﺬﺍﺭﻧﺪ .ﮐﻨﺘﺮﻝ ﮔﺸﺘﺎﻭﺭ ﺩﺭ ﻫﺮ ﺩﻭ ﻣﻮﺭﺩ ﺗﺤﺖ ﺷﺮﺍﻳﻂ ﻳﮑﺴﺎﻥ
ﻓﺎﺯﻱ ،ﻧﺘﺎﻳﺞ ﺣﺎﺻﻞ ﺍﺯ ﺗﻐﻴﻴﺮ ﮔﺸﺘﺎﻭﺭ ﻳﺎ ﺗﻐﻴﻴﺮ ﺷﺎﺭ ﺑﻪ ﺗﺮﺗﻴﺐ ﺩﺭ
ﺻﻮﺭﺕ ﮔﺮﻓﺘﻪ ﺍﺳﺖ ﺑﺎ ﺍﻳﻦ ﻭﺟﻮﺩ ﺭﻳﭙﻞ ﮔﺸﺘﺎﻭﺭ ﺩﺭ ﺭﻭﺵ ﻓﺎﺯﻱ ﺑﻪ
ﺷﮑﻞﻫﺎﻱ ) (۱۰ﻭ ) (۱۱ﺁﻭﺭﺩﻩ ﺷﺪﻩ ﺍﺳﺖ .ﺍﺯ ﻟﺤﺎﻅ ﺩﻳﻨﺎﻣﻴﮑﻲ )ﺳﺮﻋﺖ
ﻣﺮﺍﺗﺐ ﮐﻤﺘﺮ ﺍﺳﺖ .ﻫﻤﭽﻨﻴﻦ ﻣﺆﻟﻔﻪ ﻫﺎﻱ ﺟﺮﻳﺎﻥ ﺩﺭ ﺭﻭﺵ ﻓﺎﺯﻱ ﺑﻪ
ﭘﺎﺳﺦ ﺩﻫﻲ( ﻫﺮ ﺩﻭ ﺭﻭﺵ ﻣﺸﺎﺑﻪ ﻫﺴﺘﻨﺪ ﻭﻟﻲ ﺭﻳﭙﻞ ﮔﺸﺘﺎﻭﺭ ﻭ ﺷﺎﺭ
ﺣﺎﻟﺖ ﺳﻴﻨﻮﺳﻲ ﻧﺰﺩﻳﮏﺗﺮﻧﺪ .ﺩﺍﻣﻨﻪ ﺷﺎﺭ ﺍﺳﺘﺎﺗﻮﺭ ﻧﻴﺰ ﺩﺭ ﺭﻭﺵ ﻓﺎﺯﻱ ﺍﺯ
ﺭﻭﺵ ﻓﺎﺯﻱ ﺩﺭ ﺷﺮﺍﻳﻂ ﻳﮑﺴﺎﻥ ﮐﻤﺘﺮ ﺍﺳﺖ؛ ﺑﻪ ﻋﺒﺎﺭﺕ ﺩﻳﮕﺮ ﺭﻭﺵ ﻓﺎﺯﻱ
ﺭﻳﭙﻞ ﮐﻤﺘﺮﻱ ﺑﺮﺧﻮﺭﺩﺍﺭ ﺍﺳﺖ .ﻣﺆﻟﻔﻪ ﻫﺎﻱ ﺷﺎﺭ ﻧﻴﺰ ﻧﺴﺒﺖ ﺑﻪ ﻳﮑﺪﻳﮕﺮ
ﻋﻠﻲ ﺭﻏﻢ ﺩﺍﺷﺘﻦ ﭘﺎﺳﺦ ﻣﻄﻠﻮﺏﺗﺮ ﺑﺎﻋﺚ ﮐﺎﻫﺶ ﺳﺮﻋﺖ ﭘﺎﺳﺦ ﺩﻫﻲ ﻧﺸﺪﻩ ﺍﺳﺖ.
Serial No. 62
Journal of Electrical Eng., Vol. 41, No. 2
/۹ﻣﺠﻠﻪ ﻣﻬﻨﺪﺳﻲ ﺑﺮﻕ ﺩﺍﻧﺸﮕﺎﻩ ﺗﺒﺮﻳﺰ ،ﺟﻠﺪ ،۴۱ﺷﻤﺎﺭﻩ ۲
ﮐﻨﺘﺮﻝ ﻣﺴﺘﻘﻴﻢ ﺷﺎﺭ ﻭ ﮔﺸﺘﺎﻭﺭ ﻳﮏ ﻣﻮﺗﻮﺭ ﺍﻟﻘﺎﻳﻲ.........
ﮔﺸﺘﺎﻭﺭ ﺍﻟﮑﺘﺮﻭﻣﻐﻨﺎﻃﻴﺴﻲ
ﮔﺸﺘﺎﻭﺭ ﺍﻟﮑﺘﺮﻭﻣﻐﻨﺎﻃﻴﺴﻲ
ﺷﮑﻞ ) :(۸ﻧﺘﺎﻳﺞ ﺣﺎﺻﻞ ﺍﺯ ﺷﺒﻴﻪ ﺳﺎﺯﻱ ﮐﻨﺘﺮﻝ ﮔﺸﺘﺎﻭﺭ ﺑﺎ ﺍﺳﺘﻔﺎﺩﻩ ﺍﺯ
ﺷﮑﻞ ) :(۹ﻧﺘﺎﻳﺞ ﺣﺎﺻﻞ ﺍﺯ ﺷﺒﻴﻪ ﺳﺎﺯﻱ ﮐﻨﺘﺮﻝ ﮔﺸﺘﺎﻭﺭ ﺑﺎ ﺍﺳﺘﻔﺎﺩﻩ ﺍﺯ ﻗﻮﺍﻧﻴﻦ
ﺑﺮﺩﺍﺭﻫﺎﻱ ﺟﺪﻭﻝ )(۲
ﻣﺆﻟﻔﻪﻫﺎﻱ ﺟﺮﻳﺎﻥ ﺍﺳﺘﺎﺗﻮﺭ
ﺩﺍﻣﻨﻪ ﺷﺎﺭ ﺍﺳﺘﺎﺗﻮﺭ
ﻣﺆﻟﻔﻪﻫﺎﻱ ﺷﺎﺭ ﺍﺳﺘﺎﺗﻮﺭ ﻧﺴﺒﺖ ﺑﻪ ﻳﮑﺪﻳﮕﺮ
Serial No. 62
ﻓﺎﺯﻱ ﺟﺪﻭﻝ )(۳
ﻣﺆﻟﻔﻪﻫﺎﻱ ﺟﺮﻳﺎﻥ ﺍﺳﺘﺎﺗﻮﺭ
ﺩﺍﻣﻨﻪ ﺷﺎﺭ ﺍﺳﺘﺎﺗﻮﺭ
ﻣﺆﻟﻔﻪﻫﺎﻱ ﺷﺎﺭ ﺍﺳﺘﺎﺗﻮﺭ ﻧﺴﺒﺖ ﺑﻪ ﻳﮑﺪﻳﮕﺮ
Journal of Electrical Eng., Vol. 41, No.2
/۱۰ﻣﺠﻠﻪ ﻣﻬﻨﺪﺳﻲ ﺑﺮﻕ ﺩﺍﻧﺸﮕﺎﻩ ﺗﺒﺮﻳﺰ ،ﺟﻠﺪ ،۴۱ﺷﻤﺎﺭﻩ ۲
ﺍﺩﺍﻣﻪ ﺷﮑﻞ ) :(۸ﻧﺘﺎﻳﺞ ﺣﺎﺻﻞ ﺍﺯ ﺷﺒﻴﻪ ﺳﺎﺯﻱ ﮐﻨﺘﺮﻝ ﮔﺸﺘﺎﻭﺭ ﺑﺎ ﺍﺳﺘﻔﺎﺩﻩ ﺍﺯ
ﮐﻨﺘﺮﻝ ﻣﺴﺘﻘﻴﻢ ﺷﺎﺭ ﻭ ﮔﺸﺘﺎﻭﺭ ﻳﮏ ﻣﻮﺗﻮﺭ ﺍﻟﻘﺎﻳﻲ.........
ﺍﺩﺍﻣﻪ ﺷﮑﻞ ) :(۹ﻧﺘﺎﻳﺞ ﺣﺎﺻﻞ ﺍﺯ ﺷﺒﻴﻪ ﺳﺎﺯﻱ ﮐﻨﺘﺮﻝ ﮔﺸﺘﺎﻭﺭ ﺑﺎ ﺍﺳﺘﻔﺎﺩﻩ ﺍﺯ ﻗﻮﺍﻧﻴﻦ ﻓﺎﺯﻱ ﺟﺪﻭﻝ )(۳
ﺑﺮﺩﺍﺭﻫﺎﻱ ﺟﺪﻭﻝ )(۲
ﮔﺸﺘﺎﻭﺭ ﺍﻟﮑﺘﺮﻭﻣﻐﻨﺎﻃﻴﺴﻲ
ﮔﺸﺘﺎﻭﺭ ﺍﻟﮑﺘﺮﻭﻣﻐﻨﺎﻃﻴﺴﻲ
ﺩﺍﻣﻨﻪ ﺷﺎﺭ ﺍﺳﺘﺎﺗﻮﺭ
ﺩﺍﻣﻨﻪ ﺷﺎﺭ ﺍﺳﺘﺎﺗﻮﺭ
ﺷﮑﻞ ) :(۱۰ﻧﺘﺎﻳﺞ ﺣﺎﺻﻞ ﺍﺯ ﺷﺒﻴﻪ ﺳﺎﺯﻱ ﺗﻐﻴﻴﺮ ﮔﺸﺘﺎﻭﺭ ﻭ ﺷﺎﺭ ﺑﺎ ﺍﺳﺘﻔﺎﺩﻩ ﺍﺯ
ﺷﮑﻞ ) :(۱۱ﻧﺘﺎﻳﺞ ﺣﺎﺻﻞ ﺍﺯ ﺷﺒﻴﻪ ﺳﺎﺯﻱ ﺗﻐﻴﻴﺮ ﮔﺸﺘﺎﻭﺭ ﻭ ﺷﺎﺭ ﺑﺎ ﺍﺳﺘﻔﺎﺩﻩ ﺍﺯ ﻗﻮﺍﻧﻴﻦ
ﺑﺮﺩﺍﺭﻫﺎﻱ ﺟﺪﻭﻝ )(۲
ﻓﺎﺯﻱ ﺟﺪﻭﻝ )(۳
-۶ﻧﺘﻴﺠﻪ ﺩﺭ ﺍﻳﻦ ﻣﻘﺎﻟﻪ ﺑﺮﺍﻱ ﮐﻨﺘﺮﻝ ﻣﺴﺘﻘﻴﻢ ﮔﺸﺘﺎﻭﺭ ﻭ ﺷﺎﺭ ﻳﮏ ﻣﺎﺷﻴﻦ ﺍﻟﻘﺎﻳﻲ
ﺿﻤﻴﻤﻪ
ﺷﺶ ﻓﺎﺯ ﻧﺎﻣﺘﻘﺎﺭﻥ ﻳﮏ ﺟﺪﻭﻝ ﺍﺻﻼﺡ ﺷﺪﻩ ﺍﺭﺍﺋﻪ ﮔﺮﺩﻳﺪ .ﺑﺮﺍﻱ ﺍﻳﻦ ﻣﻨﻈﻮﺭ ﻣﺪﻝ ﻣﻮﺗﻮﺭ ﺍﻟﻘﺎﻳﻲ ﺷﺶ ﻓﺎﺯ ﻧﺎﻣﺘﻘﺎﺭﻥ ،ﺑﺎ ﺍﺳﺘﻔﺎﺩﻩ ﺍﺯ ﺭﻭﺵ ﺗﺠﺰﻳﻪ ﺑﺮﺩﺍﺭ ﻓﻀﺎﻳﻲ ﻣﻮﺭﺩ ﺍﺳﺘﻔﺎﺩﻩ ﻗﺮﺍﺭ ﮔﺮﻓﺖ .ﮐﻨﺘﺮﻝ ﻣﺴﺘﻘﻴﻢ ﮔﺸﺘﺎﻭﺭ ﺑﺎ ﺗﻮﺟﻪ ﺑﻪ ﺣﺬﻑ ﻣﺤﺎﺳﺒﺎﺕ ﺭﻭﺵﻫﺎﻱ ﮐﻨﺘﺮﻝ ﺑﺮﺩﺍﺭﻱ ﻭ ﮐﻨﺘﺮﻝ ﻏﻴﺮﺧﻄﻲ ﻭ ﺳﺎﺩﮔﻲ ﭘﻴﺎﺩﻩﺳﺎﺯﻱ ﻳﮑﻲ ﺍﺯ ﺭﻭﺵﻫﺎﻱ ﻣﻄﻠﻮﺏ ﮐﻨﺘﺮﻝ ﻣﻮﺗﻮﺭﻫﺎﻱ ﺍﻟﻘﺎﻳﻲ ﻣﻲﺑﺎﺷﺪ .ﻣﺎﺷﻴﻦ ﺷﺶ ﻓﺎﺯ ﻧﺴﺒﺖ ﺑﻪ ﻣﺎﺷﻴﻦ ﺳﻪ ﻓﺎﺯ ﺍﺯ ﻧﻮﺳﺎﻥ ﮔﺸﺘﺎﻭﺭ ﮐﻤﺘﺮﻱ ﺑﺮﺧﻮﺭﺩﺍﺭ ﺍﺳﺖ ﻭ ﺍﺳﺘﻔﺎﺩﻩ ﺍﺯ ﺟﺪﻭﻝ ﭘﻴﺸﻨﻬﺎﺩﻱ ﺑﺎﻋﺚ ﮐﻨﺘﺮﻝ ﻣﻄﻠﻮﺏ ﮔﺸﺘﺎﻭﺭ ﻭ ﺷﺎﺭ ﻣﻲﮔﺮﺩﺩ .ﻧﺘﺎﻳﺞ ﺷﺒﻴﻪ ﺳﺎﺯﻱ ﮐﺎﻣﭙﻴﻮﺗﺮﻱ ﺩﺭ ﺷﺮﺍﻳﻂ ﻣﺨﺘﻠﻒ ﻧﺸﺎﻥ ﺩﻫﻨﺪﻩ ﮐﺎﺭ ﺁﻳﻲ ﺍﻳﻦ ﺭﻭﺵ ﺑﺎ ﺟﺪﻭﻝ ﭘﻴﺸﻨﻬﺎﺩﻱ ﻣﻲﺑﺎﺷﺪ .ﺳﻴﺴﺘﻢ ﺩﺭﺍﻳﻮ ﺷﺶ ﻓﺎﺯ ﻧﺎﻣﺘﻘﺎﺭﻥ ﭘﻴﺸﻨﻬﺎﺩﻱ ﺑﺮﺍﻱ ﮐﺎﺭﺑﺮﺩﻫﺎﻱ ﺗﻮﺍﻥ ﺑﺎﻻ ﻳﺎ ﺟﺮﻳﺎﻥ ﺑﺎﻻ ،ﺟﺎﻳﮕﺰﻳﻦ ﻣﻨﺎﺳﺒﻲ ﺑﻪ ﺟﺎﻱ ﺳﻴﺴﺘﻢﻫﺎﻱ ﺳﻪ ﻓﺎﺯ ﻣﺘﺪﺍﻭﻝ ﺍﺳﺖ .ﻫﻤﭽﻨﻴﻦ ﮐﻨﺘﺮﻝ ﻣﺴﺘﻘﻴﻢ ﮔﺸﺘﺎﻭﺭ ﻭ ﺷﺎﺭ ﻓﺎﺯﻱ ﺍﻳﻦ ﻣﺎﺷﻴﻦ ﻣﻄﺮﺡ ﺷﺪ ﮐﻪ ﺍﺯ ﺭﻳﭙﻞ ﮐﻤﺘﺮﻱ ﺑﺮﺧﻮﺭﺩﺍﺭ ﺍﺳﺖ.
Serial No. 62
ﭘﺎﺭﺍﻣﺘﺮﻫﺎﻱ ﻣﻮﺗﻮﺭ ﺍﻟﻘﺎﻳﻲ ﺑﻪ ﮐﺎﺭ ﺭﻓﺘﻪ: B=0.0001
J=0.003
P =2
L s =740mH
R r =8.37
R s =9
v dc =500v
L m =712mH
L r =740mH
ﻣﺮﺍﺟﻊ [1] N. R. Abjadi, J. Soltani, Gh. Arab Markadeh, S. M. Ahmadi, "full Decoupling Control of a Sensorless SixPhase Series Connected Two Induction Motor Drive Taking into Account the Voltage-Drop of Each Motor", International Review of Electrical Engineering (I.R.E.E.), Vol. 4, No. 3, pp. 485-494, May-June 2009. [2] R.Bojoi, F.Farina, F.Profumo and A.Tenconi, "Dual-Three Phase Induction Machine Drives Control – a Survey", JIEE Trans. on Industry Appl., 2006, Vol. 126, No. 4, pp.420-429. [3] E. Levi, S. N. Vukosavic and M. Jones, "Vector control schemes for series-connected six-phase two-
Journal of Electrical Eng., Vol. 41, No.2
.........ﮐﻨﺘﺮﻝ ﻣﺴﺘﻘﻴﻢ ﺷﺎﺭ ﻭ ﮔﺸﺘﺎﻭﺭ ﻳﮏ ﻣﻮﺗﻮﺭ ﺍﻟﻘﺎﻳﻲ Drive", Power Electronics and Motion Control Conference EPE-PEMC 2006, Portoroz, Slovenia, pp. 1233 – 1238, Aug. 30 2006-Sept. 1 2006. [13] R. Bojoi, A. Tenconi and S. Vaschetto, "Direct Stator Flux and Torque Control for Asymmetrical SixPhase Induction Motor Drives", IEEE International Conf. on Industrial Technology (ICIT), pp. 1507 1512, 2010. [14] M. Jones, S. N. Vukosavic, D. Dujic and Emil Levi, "A Synchronous Current Control Scheme for Multiphase Induction Motor Drives", IEEE Trans. on Energy Conv., Vol. 24, No. 4, pp. 860-868,Dec. 2009. [15] R. Bojoi, E. Levi, F. Farina, A. Tenconi and F. Profumo, "Dual Three-Phase Induction Motor Drive with Digital Current Control in the Stationary Reference frame", IEE Proc. On Electr. Power Appl., Vol. 153, No. 1, pp. 129-139, Jan. 2006. [16] R. Kianinezhad, R. Alcharea, B. Nahid, F. Betin and G. Capolino, "A Novel Direct Torque (DTC) for Six-Phase Induction Motors with Common Neutrals", International Symposium on Power Electronics, Electrical Drives, Automation and Motion (SPEEDAM 2008), pp. 107-112, 2008. [17] R. Alcharea, R. Kianinezhad, B. Nahid Mobarakeh, F. Betin and G. Capolino, "Direct Torque Control for Six-Phase Symmetrical Induction Machines", IEEE Conf. on Industrial Electronics (IECON 2008), pp. 3090-3095, 2008. [18] M. B. Bannae Sharifian, E. Babaei and A. Eslami, "Comparison of two torque control methods for induction motors", in Proc. 4th International Conference on Electrical and Electronics Engineering (ELECO), Bursa, Turkey, Electric-Control, pp. 167171, Dec. 7-11, 2005. [19] B. K. Bose, "Neural Network Applications in Power Electronics and Motor Drives—An Introduction and Perspective", IEEE Trans. on Ind. Electron, Vol. 54, No. 1, pp. 14-33, Feb. 2007. [20] B. K. Bose, "Expert System, Fuzzy Logic, and Neural Network Applications in Power Electronics and Motion Control", Proc. of the IEEE, Vol. 82, No. 8, pp. 1303–1323, Aug. 1994.
۲ ﺷﻤﺎﺭﻩ،۴۱ ﺟﻠﺪ، ﻣﺠﻠﻪ ﻣﻬﻨﺪﺳﻲ ﺑﺮﻕ ﺩﺍﻧﺸﮕﺎﻩ ﺗﺒﺮﻳﺰ/۱۱ motor drive systems", IEE Proc.-Electr. Power Appl., Vol. 152, No. 2, March 2005. [4] M. Jones, S. N. Vukosavic, E. Levi and A. Iqbal, "A Six-Phase Series-Connected Two-Motor Drive With Decoupled Dynamic Control", IEEE Trans. on Ind. Appl., Vol. 41, No. 4, July/August 2005. [5] Y. Zhao, T. A. Lipo, "Space Vector PWM Control of Dual Three-phase Induction Machine Using Vector Space Decomposition", IEEE Trans. on Ind. Appl., Vol. 31, No. 5, pp. 1100-1109, Sep./Oct. 1995. [6] M. A. Fnaiech, F. Betin, G. A. Capolino and F. Fnaiech, "Fuzzy Logic and Sliding-Mode Controls Applied to Six-Phase Induction Machine With Open Phases", IEEE Trans. on Ind. Electr., Vol. 57, No. 1, pp. 354-364, Jan. 2010. [7] N. R. Abjadi, G. R. Arab Markadeh, J. Soltani, "A Two-Frequency Quasi Six-Phase Voltage Source Inverter Based on Space Vector PWM", European Power Electronics and Drives Journal (EPE), Vol. 20, No. 3, 2010. [8] R. Bojoi, M. Lazzari, F. Profumo and A. Tenconi, "Digital Field Oriented Control for Dual-Three Phase Induction Motor Drives", IEEE Trans. on Ind. Appl., Vol. 39, No.3, pp. 752-760, May/June 2003. [9] G. R. Arab Markadeh, J. Soltani, N. R. Abjadi, M. Hajian, "Sensorless Control of a Six-Phase Induction Motors Drive Using FOC in Stator Flux Reference Frame", World Academy of Science, Engineering and Technology, Issue 58, Oct. 2009. [10] N. R. Abjadi, G. R. Arab Markadeh, J. Soltani, "Model Following Sliding-Mode Control of a SixPhase Induction Motor Drive", Journal of Power Electronics (JPE), Vol. 10, No. 6, pp. 694-701, Nov. 2010. [11] J. Soltani, J. Askari, N.R. Abjadi and G.R. Arab Markadeh, "Sliding-mode control for a six-phase series-connected induction two-motor drive", Electromotion, vol. 15 , No. 1, Jan.-Mar. 2008, pp. 3139. [12] K. Marouanil, F. Khouchal, A. Khelouil, L. Baghli and D. Hadiouche, "Study and Simulation of Direct Torque Control of Double-Star Induction Motor
ﺯﻳﺮﻧﻮﻳﺲﻫﺎ 1
Direct Torque Control (DTC) Vector Space Decomposition 3 Zero Sequence 2
Journal of Electrical Eng., Vol. 41, No. 2
Serial No. 62
