Optimal Reactive Power Dispatch using Improved Differential Evolution Algorithm

Abstract

Reactive power dispatch plays a key role in secure and economic operation of power systems. Optimal reactive power dispatch (ORPD) is a non-linear optimization problem which includes both continues and discrete variables. Due to complex characteristics, heuristic and evolutionary based optimization approaches have became effective tools to solve the ORPD problem. In this paper a new optimization approach based on improved differential evolution (IDE) has been proposed to solve the ORPD problem. IDE is an improved version of differential evolution optimization algorithm in which new solutions are produced in respect to global best solution. In the proposed approach, IDE determines the optimal combination of control variables including generator voltages, transformer taps and setting of VAR compensation devices to obtain minimum real power losses. In order to demonstrate the applicability and efficiency of the proposed IDE based approach, it has been tested on the IEEE 14 and 57-bus test systems and obtained results are compared with those obtained using other existing methods. Simulation results show that the proposed approach is superior to the other existing methods.اÙØ£ÙØ«Ù ÙÙØ© رد اÙÙع٠DISPATCH ع٠طرÛ٠تحس٠اÙتÙاضÙÛØ© تطÙر اÙØ®ÙارزÙÛةرد اÙÙع٠ارسا٠ÙÙØ© ÛÙعب دÙرا رئÛسÛا ÙÛ Ø¹ÙÙÛØ© Ø¢ÙÙØ© ÙاÙاÙتصادÛØ© ÙØ£ÙظÙØ© اÙطاÙØ©. اÙØ£Ùث٠عÙ٠رد اÙÙع٠ارسا٠ÙÙØ© (ORPD) Ù٠اÙح٠اÙØ£ÙØ«Ù ÙغÛر اÙØ®Ø·Û Ø§ÙØ°Û ÛØ´ÙÙ Ú©Ùا Ù٠تÙاص٠ÙاÙÙتغÛرات اÙÙÙÙصÙØ©. Ùظرا Ùخصائص ÙعÙØ¯Ø©Ø Ùأصبح اÙÙÙج اÙØ£Ùث٠اÙکش٠ع٠ÙجرÛات اÙØ£ÙÙر ÙاÙتطÙر عÙ٠أساس أدÙات ÙعاÙØ© ÙØ­Ù ÙØ´Ú©ÙØ© ORPD. ÙÛ Ùذ٠اÙÙرÙØ© ت٠اÙتراح ÙÙج اÙتحسÛ٠جدÛد ÛÙÙ٠عÙ٠تحسÛ٠تطÙر اÙتÙاضÙÛØ© (IDE) عÙÙ Ø­Ù ÙØ´Ú©ÙØ© ORPD. IDE ÙÙ Ùسخة ÙحسÙØ© Ù٠اÙتÙاضÙÛØ© Ø®ÙارزÙÛØ© اÙتطÙر اÙØ£Ùث٠اÙØ°Û Ûت٠إÙتاج Ø­ÙÙ٠جدÛدة ÙÛÙا ÛتعÙ٠أÙض٠ح٠عاÙÙÛ. ÙÛ Ø§ÙÙÙج اÙÙÙØªØ±Ø­Ø Ûحدد IDE اÙجÙع اÙØ£ÙØ«Ù ÙÙÙتغÛرات بÙا ÙÛ Ø°ÙÚ© ÙراÙبة اÙÙÙÙتÛØ© ÙÙÙد ÙاÙصÙابÛر اÙÙØ­ÙÙات ÙÙضع أجÙزة تعÙÛض VAR ÙÙحصÙ٠عÙ٠اÙحد اÙأدÙÙ Ù٠اÙخسائر اÙسÙطة اÙØ­ÙÛÙÛØ©. Ù٠أج٠إثبات Ø¥ÙکاÙÛØ© تطبÛÙ ÙÚ©Ùاءة ÙÙج IDE عÙ٠أساس اÙÙÙØªØ±Ø­Ø ÙÙد ت٠اختبار٠عÙ٠أÙظÙØ© اختبار IEEE 14 Ù 57 باص Ùحص٠تت٠ÙÙارÙØ© اÙÙتائج Ùع تÙÚ© اÙØªÛ ØªÙ Ø§ÙحصÙ٠عÙÛÙا باستخدا٠طر٠أخر٠ÙÙجÙدة. ÙتبÛÙ Ùتائج اÙÙحاکاة أ٠اÙÙÙج اÙÙÙترح ÙتÙÙÙØ© عÙ٠اÙطر٠اÙأخر٠اÙÙائÙØ©.