The Journal of Engineering Research (TJER), Vol. 18, No. 1, (2021) 52-61 *Corresponding author’s e-mail: satishgudey5@gvpce.ac.in DOI: 10.53540/tjer.vol18iss1pp52-61 ENHANCED EXPONENTIAL REACHING LAW-BASED SLIDING MODE CONTROL OF SHUNT ACTIVE POWER FILTER IN AN ELECTRICAL DISTRIBUTION SYSTEM Vinay Kumar Naguboina 1 and Satish Kumar Gudey 2,* 1 Vignan’s Institute of Information Technology, Andhra Pradesh, India, 2 Gayatri VidyaParishad College of Engineering (Autonomous), Andhra Pradesh, India ABSTRACT: In this work, a three-phase Shunt Active Power Filter (ShAPF) is proposed to address the current related issues in a three-phase Electrical Distribution System (EDS). A sliding mode controller (SMC) and an Enhanced Exponential Reaching Law-based SMC (EERL-SMC) are proposed for a ShAPF to compensate for the load current. The controller’s performance is tested by injecting the current harmonics into the system. A non-linear load along with different loads on the distribution side is connected in parallel in a distribution network at the point of common coupling (PCC). Modelling of the system is done using state-space analysis. The stability of the system is analyzed using the state feedback approach. The reference source currents are generated using the instantaneous PQ theory. For variations in the load, the THD in the source current is realized. It is found that EERL-SMC is more effective for a ShAPF in reducing the high-frequency oscillations and settling time for convergence. The source voltage and current waveforms are observed to be sinusoidal. Both the controllers are effective in reducing the THD levels in the source current as per the IEEE standards. A comparison between the controllers is presented in terms of settling time, THD in source current. PSCAD v4.6 is used for simulation works. Keywords: Electrical Distribution System (EDS); Shunt Active Power Filter (ShAPF); Point of Common Coupling (PCC); Total Harmonic Distortion (THD); Sliding Mode Controller (SMC); Enhancement Exponential Reaching law (EER-Law). وﺣدة اﻟﺗﺣﻛم ﺑﺎﻹﻧزﻻق اﻟﻣﺑﻧﯾﺔ ﻋﻠﻰ ﻗﺎﻧون اﻟوﺻول اﻷﺳﻲ اﻟﻣﺣﺳن ﻟﻣرﺷﺢ اﻟﻘدرة اﻟﻔﻌﺎﻟﺔ اﻟﻣﺗوازي ﻓﻲ ﺷﺑﻛﺔ اﻟﺗوزﯾﻊ اﻟﻛﮭرﺑﺎﺋﻲ ﻓﯾﻧﺎي ﻛوﻣﺎر ﻧﺎﻏوﺑوﯾﻧﺎ 1 و ﺳﺎﺗﯾش ﻛوﻣﺎر ﺟودي 2 *, اﻟﻣﻠﺧص: ﯾ ﻘﺪم ھﺬه اﻟ ﺒﺤﺚ ﻣﻘﺘﺮﺣﺎ ﻻﺳﺘﺨﺪام ﻣﺮﺷﺢ ﻟﻠﻘﺪرة اﻟﻔﻌﺎﻟﺔ ذو ﺛﻼﺛ ﺔ أوﺟﮫ ﺗﺼﻔﯿﺔ ﻟﺤﻞ ﻣﺸﺎﻛﻞ ﺷﺒﻜﺎت ﺗﻮزﯾﻊ اﻟﻜﮭﺮﺑﺎء ذات اﻟﺜﻼﺛﺔ أوﺟﮫ، ﻛﻤﺎ ﯾ ﻘﺘﺮح اﺳﺘﻌﻤﺎل وﺣﺪة اﻟﺘﺤﻜﻢ ﺑﻮﺿﻊ اﻻﻧﺰﻻق ﺑﻨﺴﺨﺘﯿﮭﺎ اﻟﻌﺎدﯾﺔ واﻟﻤﺒﻨﯿﺔ ﻋﻠﻰ ﻗﺎﻧﻮن اﻟﻮﺻﻮل اﻷﺳﻲ اﻟﻤﺤﺴﻦ ﻟﺘﻌﻮﯾﺾ ﺗﯿﺎر اﻟﺤﻤﻞ ﻓﻲ ﻣﺮﺷﺢ ﻟﻠﻘﺪرة اﻟﻔﻌﺎﻟﺔ اﻟﻤﺘﻮازي ذو ﺛﻼﺛﺔ أوﺟﮫ، ﺣﯿﺚ ﯾﺘﻢ اﺧﺘﺒﺎر اداء وﺣﺪة اﻟﺘﺤﻜﻢ ﺑﺤﻘ ﻦ اﻟﻨﻈﺎم ﺑﺘﻮاﻓﻘﯿﺎت اﻟﺘﯿﺎر. ﺗﻢ ﺗﻮﺻﯿﻞ ﺣﻤﻞ ﺧﻄﻲ وأﺣﻤﺎل اﺧﺮى ﻣﺨﺘﻠﻔﺔ ﺑﺎﻟﺘﻮازي ﻓﻲ ﺷﺒﻜﺔ ﺗﻮزﯾﻊ اﻟﻜﮭﺮﺑﺎء ﻋﻨﺪ ﻧﻘﺎط اﻟﺮﺑﻂ اﻟﻤﺸﺘﺮﻛﺔ، ووﺿﻊ ﻧﻤﻮذج اﻟﻨﻈﺎم ﻋﻦ طﺮﯾﻖ اﻟﺘﻤﺜﯿﻞ اﻟﻤﺼﻔﻮﻓﻲ ﻟﻠﻤﻌﺎدﻻت اﻟﺘﻔﺎﺿﻠﯿﺔ، ﻛﻤﺎ ﺗﻢ ﺗﺤﻠﯿﻞ اﺳﺘﻘﺮار اﻟﻨﻈﺎم ﻋﻦ طﺮﯾﻖ ﻧﮭﺞ اﻟﺘﻐﺬﯾﺔ اﻟﺮاﺟﻌﺔ ﻟﻠﺤﺎﻟﺔ، وﯾﺘﻢ اﻧﺸ ﺎء ﺗﯿﺎرات اﻟﻤﺼﺪر اﻟﻤﺮﺟﻌﻲ ﺑﺎﺳﺘﺨﺪام اﻟﻨﻈﺮﯾﺔ اﻟﻤﻌﻤﻤﺔ ﻟﻠﻘﻮة اﻟﺘﻔﺎﻋﻠﯿﺔ اﻟﻠﺤﻈﯿﺔ ﻓﻲ اﻟﺪواﺋﺮ ﺛﻼﺛﯿﺔ اﻟﻄﻮر، ﻛﻤﺎ ﺗﺤﻘﻖ ﺗﺸﻮه ﺗﻮاﻓﻘﻲ ﻛﻠﻲ ﻓﻲ اﻟﺘﯿﺎر اﻟﻤﺼﺪري ﻧﺘﯿﺠﺔ ﻻﺧﺘﻼف اﻟﺤﻤﻞ. اﺷﺎرت ﻧﺘﯿﺠﺔ اﻟﺪراﺳﺔ اﻟﻰ ان وﺣﺪة اﻟﺘﺤﻜﻢ ﺑﺎﻻﻧﺰﻻق اﻟﻤﺒﻨﯿﺔ ﻋﻠﻰ ﻗﺎﻧﻮن اﻟﻮﺻﻮل اﻷﺳﻲ اﻟﻤﺤﺴﻦ ﺗﻌﻄﻲ ﺗ ﺄﺛﯿﺮا اﻛﺒﺮ ﻓﻲ ﺗﻘﻠﯿﻞ ذﺑﺬﺑﺎت اﻟﺘﺮدد اﻟﻌﺎﻟﻲ وزﻣﻦ اﻟﺴﻜﻮن ﻓﻲ ﻣﺮﺷﺢ اﻟﻘﺪرة اﻟﻔﻌﺎﻟﺔ ذو ﺛﻼﺛﺔ أوﺟﮫ، ﻛﻤﺎ ﻟﻮﺣﻆ أن ﺟﮭﺪ اﻟﻤﺼﺪر اﻟﺘﯿﺎر ھﻲ ﺟﯿﺒﯿﺔ ﺑﻄﺒﯿﻌﺘﮭﺎ. ﻧﺠﺢ ﻛﻼ ﻣﻦ وﺣﺪﺗﻲ اﻟﺘﺤﻜﻢ ﺑﺎﻻﻧﺰﻻق ﻓﻲ ﺗﻘﻠﯿﻞ اﻟﺘﺸﻮه اﻟﺘﻮاﻓﻘﻲ اﻟﻜﻠﻲ ﻓﻲ ﻣﺼﺪر اﻟﺘﯿﺎر ﻛﻤﺎ وأﺷﻜﺎل ﻣﻮﺟﺔ ورد ﻓﻲ ﻣﻌﺎﯾﯾر ﻣﻌﮭد ﻣﮭﻧدﺳﻲ اﻟﻛﮭرﺑﺎء واﻹﻟﻛﺗروﻧﯾﺎت. ﻛﻣﺎ ﺗم ﻓﻲ ھذه اﻟورﻗﺔ ﻋرض ﻣﻘﺎرﻧﺔ ﺑﯾن ﻧوﻋﻲ وﺣدات اﻟﺗﺣﻛم ﺑﺎﻻﻧزﻻق ﺿﺢ ﻣن ﺧﻼﻟﮭﺎ زﻣن اﻟﺳﻛون واﻟﺗﺷوه اﻟﺗواﻓﻘﻲ اﻟﻛﻠﻲ ﻓﻲ ﻣﺻدر اﻟﺗﯾﺎر. ُ و اﻟﻜﻠﻤﺎت اﻟﻤﻔﺘﺎﺣﯿﺔ: ﺷﺒﻜﺔ ﺗﻮزﯾﻊ اﻟﻜﮭﺮﺑﺎء ؛ ﻣﺮﺷﺢ اﻟ ﺘﻮازي ﻟﻠ ﻘﺪرة اﻟﻔﻌﺎﻟﺔ ذو ﺛﻼﺛﺔ أوﺟﮫ ؛ ﻧﻘﺎط اﻟﺮﺑﻂ اﻟﻤﺸﺘﺮﻛﺔ ؛ وﺣﺪة اﻟﺘﺤﻜﻢ ﺑﺎﻹﻧﺰﻻق ؛ ﺗﺸﻮه ﺗﻮاﻓﻘﻲ.