ارزیابی بهینه‌سازی و بازآرایی دوهدفه سیستم‌های توزیع در حضور واحدهای تولید پراکنده با استفاده از مدل برنامه‌ریزی غیرخطی عدد صحیح مختلط

نوع مقاله : مقاله پژوهشی

نویسندگان

دانشکده مهندسی برق، واحد نجف‌آباد، دانشگاه آزاد اسلامی، نجف‌آباد، ایران

چکیده

در این مقاله، یک فرمول‌بندی ریاضی نوین مبتنی بر برنامه‌ریزی غیرخطی عدد صحیح مختلط (MINLP) ارائه شده که برای اولین بار مسئله بازآرایی سیستم توزیع و مکان‌یابی تولیدات پراکنده را بدون استفاده از توابع مثلثاتی، بدون درنظرگرفتن تقریب‌های خطی‌سازی و با بهره‌گیری از ماتریس تلاقی گره-شاخه و مؤلفه‌های حقیقی-موهومی ولتاژ و جریان، به صورت یکپارچه حل می‌کند. این مدل، پیچیدگی محاسباتی را کاهش داده و تضمین می‌کند جواب بهینه سراسری با استفاده از روش شاخه و کران در نرم‌افزار با سرعت حل بالاتر گمز به دست آید. هدف‌ اصلی بازآرایی و همچنین نصب بهینه تولیدات پراکنده در سیستم‌های توزیع، به‌حداقل‌رساندن تلفات توان اکتیو، کاهش انحراف ولتاژ و بهبود پروفیل ولتاژ است. یک تابع دوهدفه به‌منظور بهبود بهره‌وری سیستم توزیع شعاعی تعریف شده که علاوه بر حفظ محدودیت‌های سیستم، با درنظرگرفتن تلفات توان اکتیو کل و انحراف ولتاژ راهبرد مناسبی را ارائه می‌دهد. نتایج شبیه‌سازی بر روی سیستم‌های توزیع ۳۳ باس و ۶۹ باس، برتری عملکرد روش پیشنهادی را در مقایسه با سایر رویکردهای موجود نشان می‌دهد. نتایج شبیه‌سازی نشان می‌دهند که روش پیشنهادی به دلیل حذف توابع مثلثاتی و ادغام بهینه‌سازی دو مسئله، درصد کاهش تلفات توان اکتیو کل در سیستم توزیع 33 باس و 69 باس به ترتیب به 97/72 و 55/83 رسیده است. همچنین، انحراف ولتاژ در این دو سیستم به ترتیب 77/94 و 99/96 درصد کاهش‌یافته است.

کلیدواژه‌ها

موضوعات


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