تعیین حداکثر توان انتقالی با روش ترکیبی نیوتن- رافسون- سایدل و پخش‌بار هولومورفیک با بهبود محاسبات ماتریسی
محورهای موضوعی : مهندسی برق و کامپیوتر
1 - موسسه امنيت انرژي و انرژي پايدار
کلید واژه: توان انتقالی در دسترس, پخش بار هولومورفیک, پخش بار نیوتن, رافسون, سایدل, خط HVDC,
چکیده مقاله :
این مقاله ابتدا نشان می‌دهد که ستون فقرات شبکه انتقال آینده، حتماً خطوط جریان مستقیم با ولتاژ فوق‌العاده بالا است و سپس معادلات خطوط جریان مستقیم را با معادلات پخش بار جریان متناوب نیوتن- رافسون- سایدل ترکیب می‌کند. با افزایش ابعاد معادلات پخش بار از روش‌های ماتریسی برای افزایش سرعت حل معادله پخش بار استفاده شده است. همچنین از آنجایی که پخش بار هولومورفیک برای انجام پخش بار، نیازی به حدس اولیه ندارد و در صورت وجود راه حل، حتماً پاسخ دقیق را محاسبه می‌کند، از این روش برای تعیین حدس اولیه پخش بار نیوتن- رافسون- سایدل استفاده شده است. با ترکیب این روش‌ها در این مقاله، روش جدیدی ارائه گردیده که می‌تواند در شبکه‌های کوچک و بزرگ با دقت و سرعت مناسب، حداکثر توان انتقالی ایستا را محاسبه کند. در این مقاله از 5 شبکه 39، 118، 300 باس IEEE، 145 باس ایالت آیوا و شبکه 1153 باس شرق ایران در شبیه‌سازی استفاده شده است. همچنین از 4 روش پخش بار متوالی، روش تکراری کمترین باقیمانده تعمیم‌یافته، روش نیوتن- رافسون- سایدل کلاسیک و روش پخش بار هولومورفیک استاندارد برای مقایسه استفاده گردیده است. نتایج شبیه‌سازی نشان می‌دهند که روش ارائه‌شده قابل قبول است.
This paper first demonstrates that high direct current lines will undoubtedly be the backbone of the future transmission network. The Newton Raphson Seydel alternating load flow equations are then combined with the direct current line equations. This paper employed matrix techniques to increase the speed of solving problems as the dimensions of the equations get larger. Furthermore, the holomorphic load flow does not require an initial estimate to run the load flow, and if a solution exists, the precise answer is calculated. The initial guess of Newton Raphson Seydel was calculated using this approach. In this paper, we describe a novel approach that can compute the available transfer capability in small and large networks with sufficient accuracy and speed by combining these methods. The simulation in this paper uses five networks: 39 IEEE buses, 118 IEEE buses, 300 IEEE buses, 145 Iowa state buses, and 1153 East Iran buses network. In addition, four approaches were employed for comparison: continuous power flow, the general minimum residual method, Newton Raphson Seydel classical method, and the standard holomorphic power flow method. The results of the simulations suggest that the proposed strategy is acceptable.
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