طراحی یک مدل بهینه‌سازی محدب برای خودترمیمی یک شبکه توزیع هوشمند

یگانه کیا, محمدحسن; رضایی, محمد مهدی; عابدی, مهرداد

doi:10.48301/kssa.2021.130684

طراحی یک مدل بهینه‌سازی محدب برای خودترمیمی یک شبکه توزیع هوشمند

نوع مقاله : مقاله پژوهشی (کاربردی)

نویسندگان

¹ دانشجوی دکتری، گروه مهندسی برق، واحد خمینی شهر، دانشگاه آزاد اسلامی، اصفهان، ایران.

² استادیار، گروه مهندسی برق، واحد خمینی شهر، دانشگاه آزاد اسلامی، اصفهان، ایران.

³ استاد، گروه مهندسی برق، دانشکده برق، دانشگاه امیر کبیر، تهران، ایران.

10.48301/kssa.2021.130684

چکیده

خودترمیمی برای ترمیم خودکار سیستم توزیع در هنگام خطا به‌کار می‌رود. یکی از روش‌های کاهش مشترکین بدون برق، بهره‌برداری منطقه خطادار به‌صورت جزیره‌ای است اما زمانی جزیره به‌صورت بهینه تشکیل می‌شود که این جزیره به‌صورت آنلاین بعد از خطا شکل گیرد. در صورتی که جزیره قبل از خطا تعیین شده باشد، مرز بهینه جزیره تشکیل نمی‌شود و ممکن است تعداد مشترکین بدون برق افزایش یابد. در این مقاله جزیره‌سازی به‌صورت آنلاین پس از خطا انجام می‌شود. یکی از مهم‌ترین مشکلات پس از وقوع یک رخداد خطا، حل سریع مسئله است. از آن‌جایی که مدل‌های غیرخطی، زمان حل را به‌شدت زیاد می‌کنند؛ در روش پیشنهادی، مسئله خودترمیمی از مدل MINLP نامحدب به یک مدل محدب تبدیل شده است. در نتیجه مدل پیشنهادی با زمان بسیار کمی می‌تواند به جواب برسد. نکته دوم در مسئله بهینه‌سازی خودترمیمی رسیدن به جواب بهینه سراسری است. چون در مسائل محدب تنها یک راه‌حل بهینه وجود دارد؛ بنابراین روش پیشنهادی رسیدن به جواب بهینه سراسری را تضمین می‌کند. همچنین مدل‌سازی بار و تولید در یک فضای احتمالاتی صورت می‌گیرد. پس از تعیین ریزشبکه بهینه، تولید بهینه منابع تولید پراکنده و برداشت بار برای متعادل کردن توان سیستم انجام می‌شود. برای نشان دادن کارایی روش پیشنهادی از سیستم 33 باس IEEE استفاده شده است.

کلیدواژه‌ها

20.1001.1.23829796.1400.18.3.2.5

موضوعات

مهندسی برق

عنوان مقاله [English]

Designing a Convex Optimization Model for Self-healing of a Smart Distribution Network

نویسندگان [English]

Mohammad Hassan Yeganehkia ¹
Mohammad Mahdi Rezaei ²
Mehrdad Abedi ³

¹ PhD Student, Department of Electrical Engineering, Khomeinishahr Branch, Islamic Azad University, Isfahan, Iran.

² Assistant Professor, Department of Electrical Engineering, Khomeinishahr Branch, Islamic Azad University, Isfahan, Iran.

³ Professor, Department of Electrical Engineering, Faculty of Electrical Engineering, Amirkabir University of Technology, Tehran, Iran.

چکیده [English]

Self-healing is used to automatically repair the distribution system in the event of a fault. One way to reduce without service customers is to operate the faulty area as an island. However, the island is formed optimally when the island is formed online after the fault. If the island is determined before the fault, the optimal margin of the island will not be formed and the number of customers without electricity might increase. In this article, island building is carried out online after the fault. One of the most important problems after a fault occurs is the quick solution of the problem. Since nonlinear models greatly increase the solving time, in the proposed method, the problem is transformed from a non-convex MINLP model to a convex model. As a result, the proposed model can be answered in a very short time. The second point in the problem of self-healing optimization is to achieve the optimal global solution. The optimization problem is carried out by the convex optimization method. Because in convex problems there is only one optimal, the proposed method ensures the achievement of the optimal global solution. A variety of dispatchable and non-dispatchable distributed generation sources were used. Load and production modeling was also undertaken in a probabilistic space because considering the uncertainty, it can be said that the proposed model can be resistant to such events. After determining the optimal microgrid, the optimal production of distributed generation resources and load shedding was carried out to balance the system power. The IEEE 33-bus system was used to demonstrate the efficiency of the proposed method.

کلیدواژه‌ها [English]

Convex optimization Self
healing Load shedding Distributed generation sources Islanding

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