EVALUATION OF THE SUITABILITY OF GLOBAL GRADIENT ALGORITHM AND INVERSE MATRIX METHOD FOR STEADYSTATE ANALYSIS OF WATER DISTRIBUTION NETWORKS
Yıl: 2018 Cilt: 7 Sayı: 1 Sayfa Aralığı: 23 - 33 Metin Dili: İngilizce DOI: 10.28948/ngumuh.383777 İndeks Tarihi: 24-09-2019
EVALUATION OF THE SUITABILITY OF GLOBAL GRADIENT ALGORITHM AND INVERSE MATRIX METHOD FOR STEADYSTATE ANALYSIS OF WATER DISTRIBUTION NETWORKS
Öz: Two methods for steady-state analysis of water distribution networks (WDNs) were evaluated in this paper:Global Gradient Algorithm (GGA) and inverse matrix method (IMM). Both methodologies are based on thesolution of nonlinear system of equations formed by mass and energy balances within a WDN. A number ofWDNs were solved using both methods. Results showed that GGA solves the WDNs in around 70 to 75% lessnumber of iterations than IMM. Besides, single GGA solution of a WDN takes less time compared to IMMsolution (about 57% faster for a network of 31 elements). In contrast, single iteration takes 127 to 552 μs withIMM while it takes 235 to 773 μs with GGA depending on the number of network elements. Evaluations arebased on the speed, the accuracy, and ease of handling the iteration procedures and it was concluded that,although GGA provides faster solutions, both methods are fast enough and IMM, with its simpler iterationprocedure, could be beneficial if employed for teaching WDNs in engineering education.
Anahtar Kelime: İÇME SUYU ŞEBEKELERİNİN KARARLI DURUM ANALİZİ İÇİN KÜRESEL GRADYEN ALGORİTMASI VE TERS MATRİS YÖNTEMİNİN UYGUNLUĞUNUN DEĞERLENDİRİLMESİ
Öz: Bu çalışmada içme suyu şebekelerinin kararlı akım analizi için kullanılabilen iki yöntem değerlendirilmiştir: Küresel Gradyen Algoritması (KGA) ve ters matris yöntemi (TMY). Her iki yöntem de şebeke için yazılan kütle ve enerji korunum denklemlerinden oluşan, doğrusal olmayan denklem sisteminin çözümüne dayanmaktadır. Bu çalışmada her iki yöntem de kullanılarak bir dizi şebeke çözümü yapılmıştır. Sonuçlar, KGA’nın TMY’ye göre yaklaşık %70 ile %75 oranında daha az iterasyonla sonuca ulaştığını göstermiştir. Ayrıca, KGA ile tek şebeke çözümü, TMY’ye göre daha az zaman almaktadır (31 elemanlı bir şebeke için yaklaşık %57 oranında daha hızlı). Buna karşın, şebekedeki eleman sayısına bağlı olmak üzere TMY’de tek iterasyon 127 ile 552 µs’de tamamlanırken KGA’da 235 ile 773 µs sürmektedir. Değerlendirmeler metotların hızı, doğruluğu ve iterasyon prosedürlerinin kolaylığına göre yapılmış olup, KGA daha hızlı çözümler üretmesine karşın her iki yöntemin de yeteri kadar hızlı olduğunu söylemek mümkündür ve iterasyon prosedürleri çok daha kolay olduğu için TMY’nin mühendislik eğitiminde içme suyu şebekelerini öğretmek için kullanılması KGA’ya göre daha avantajlı olabilir.
Anahtar Kelime: Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
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| APA | Demir S (2018). EVALUATION OF THE SUITABILITY OF GLOBAL GRADIENT ALGORITHM AND INVERSE MATRIX METHOD FOR STEADYSTATE ANALYSIS OF WATER DISTRIBUTION NETWORKS. , 23 - 33. 10.28948/ngumuh.383777 |
| Chicago | Demir Selami EVALUATION OF THE SUITABILITY OF GLOBAL GRADIENT ALGORITHM AND INVERSE MATRIX METHOD FOR STEADYSTATE ANALYSIS OF WATER DISTRIBUTION NETWORKS. (2018): 23 - 33. 10.28948/ngumuh.383777 |
| MLA | Demir Selami EVALUATION OF THE SUITABILITY OF GLOBAL GRADIENT ALGORITHM AND INVERSE MATRIX METHOD FOR STEADYSTATE ANALYSIS OF WATER DISTRIBUTION NETWORKS. , 2018, ss.23 - 33. 10.28948/ngumuh.383777 |
| AMA | Demir S EVALUATION OF THE SUITABILITY OF GLOBAL GRADIENT ALGORITHM AND INVERSE MATRIX METHOD FOR STEADYSTATE ANALYSIS OF WATER DISTRIBUTION NETWORKS. . 2018; 23 - 33. 10.28948/ngumuh.383777 |
| Vancouver | Demir S EVALUATION OF THE SUITABILITY OF GLOBAL GRADIENT ALGORITHM AND INVERSE MATRIX METHOD FOR STEADYSTATE ANALYSIS OF WATER DISTRIBUTION NETWORKS. . 2018; 23 - 33. 10.28948/ngumuh.383777 |
| IEEE | Demir S "EVALUATION OF THE SUITABILITY OF GLOBAL GRADIENT ALGORITHM AND INVERSE MATRIX METHOD FOR STEADYSTATE ANALYSIS OF WATER DISTRIBUTION NETWORKS." , ss.23 - 33, 2018. 10.28948/ngumuh.383777 |
| ISNAD | Demir, Selami. "EVALUATION OF THE SUITABILITY OF GLOBAL GRADIENT ALGORITHM AND INVERSE MATRIX METHOD FOR STEADYSTATE ANALYSIS OF WATER DISTRIBUTION NETWORKS". (2018), 23-33. https://doi.org/10.28948/ngumuh.383777 |
| APA | Demir S (2018). EVALUATION OF THE SUITABILITY OF GLOBAL GRADIENT ALGORITHM AND INVERSE MATRIX METHOD FOR STEADYSTATE ANALYSIS OF WATER DISTRIBUTION NETWORKS. Niğde Ömer Halisdemir Üniversitesi Mühendislik Bilimleri Dergisi, 7(1), 23 - 33. 10.28948/ngumuh.383777 |
| Chicago | Demir Selami EVALUATION OF THE SUITABILITY OF GLOBAL GRADIENT ALGORITHM AND INVERSE MATRIX METHOD FOR STEADYSTATE ANALYSIS OF WATER DISTRIBUTION NETWORKS. Niğde Ömer Halisdemir Üniversitesi Mühendislik Bilimleri Dergisi 7, no.1 (2018): 23 - 33. 10.28948/ngumuh.383777 |
| MLA | Demir Selami EVALUATION OF THE SUITABILITY OF GLOBAL GRADIENT ALGORITHM AND INVERSE MATRIX METHOD FOR STEADYSTATE ANALYSIS OF WATER DISTRIBUTION NETWORKS. Niğde Ömer Halisdemir Üniversitesi Mühendislik Bilimleri Dergisi, vol.7, no.1, 2018, ss.23 - 33. 10.28948/ngumuh.383777 |
| AMA | Demir S EVALUATION OF THE SUITABILITY OF GLOBAL GRADIENT ALGORITHM AND INVERSE MATRIX METHOD FOR STEADYSTATE ANALYSIS OF WATER DISTRIBUTION NETWORKS. Niğde Ömer Halisdemir Üniversitesi Mühendislik Bilimleri Dergisi. 2018; 7(1): 23 - 33. 10.28948/ngumuh.383777 |
| Vancouver | Demir S EVALUATION OF THE SUITABILITY OF GLOBAL GRADIENT ALGORITHM AND INVERSE MATRIX METHOD FOR STEADYSTATE ANALYSIS OF WATER DISTRIBUTION NETWORKS. Niğde Ömer Halisdemir Üniversitesi Mühendislik Bilimleri Dergisi. 2018; 7(1): 23 - 33. 10.28948/ngumuh.383777 |
| IEEE | Demir S "EVALUATION OF THE SUITABILITY OF GLOBAL GRADIENT ALGORITHM AND INVERSE MATRIX METHOD FOR STEADYSTATE ANALYSIS OF WATER DISTRIBUTION NETWORKS." Niğde Ömer Halisdemir Üniversitesi Mühendislik Bilimleri Dergisi, 7, ss.23 - 33, 2018. 10.28948/ngumuh.383777 |
| ISNAD | Demir, Selami. "EVALUATION OF THE SUITABILITY OF GLOBAL GRADIENT ALGORITHM AND INVERSE MATRIX METHOD FOR STEADYSTATE ANALYSIS OF WATER DISTRIBUTION NETWORKS". Niğde Ömer Halisdemir Üniversitesi Mühendislik Bilimleri Dergisi 7/1 (2018), 23-33. https://doi.org/10.28948/ngumuh.383777 |
