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Ibrahim, Maulana
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Journal : MEDIA ELEKTRIKA

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Analysis of Multi-Loop Electrical Circuits Using Gaussian Elimination and Gauss-Jordan Methods on MATLAB Platform Ibrahim, Maulana; Noertjahjani, Siswandari
MEDIA ELEKTRIKA Vol 18, No 1 (2025): Vol 18, No 1 (2025)
Publisher : PSRE UNIMUS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26714/me.v18i1.18548

Abstract

Multi-loop electrical circuit analysis represents a significant challenge in electrical engineering that requires solving complex linear equation systems. This research aims to evaluate the effectiveness of Gaussian Elimination and Gauss-Jordan methods in solving linear equation systems generated from multi-loop electrical circuit analysis using MATLAB platform. The study employs a descriptive quantitative approach by analyzing a 3-loop circuit consisting of six resistors  and three voltage sources (V₁ = 8V, V₂ = 4V, V₃ = 12V). The application of Kirchhoff's laws generates a 3×3 linear equation system that is solved using both elimination methods. MATLAB implementation demonstrates that both methods produce identical solutions with current values I₁ = 2.695A, I₂ = 2.043A, and I₃ = 1.560A. The Gaussian Elimination method is more efficient for small to medium systems as it only requires forward elimination and back substitution, while the Gauss-Jordan method offers better solution transparency by forming a reduced row echelon form (RREF) matrix that allows direct solution reading without additional substitution processes. Implementation on the MATLAB platform provides significant advantages in terms of computational efficiency, calculation accuracy, and ease of result visualization. This research proves that both methods can be effectively applied to electrical circuits with high complexity levels and provides important contributions to the development of multi-loop electrical circuit analysis methods with systematic and structured numerical approaches.
Co-Authors Achmad Fauzi Yahya, Achmad Fauzi Affandi, Amam Nur Ahmad, Shieva Nur Azizah Ainul Mardiyah, Ainul Akbar, Muhamad Fathoni Amanda, Friska Anjani, Lidia Tamia Apdian, Donny Arbain Tata Arief Wahyudi, Arief Bain, Unan Nur Bangun, Jacklyn Alona Br Beru Perangin-angin, Reh Bungana Br Lumban Batu, Rouli Dadan Zaliluddin Dalimunthe, Reja Daniarti, Yeni DARMANSYAH . Dewi, Triwedya Indra Dicky Harwanto Dinata, Rizki Wangsa Elzani, Rahma Farida, Dida Fauzian, Mardiatul Friana, Danda Gunawan Santoso Hadi Santoso Hadiningrum, Sri Hamdani, Muhammad Habib Herdiansah, Arief Hidayat, Farhan Husin, Muhammad Habib I Ketut Suardika Ilham Adhya Imaman, Rahardian Aulia Indah, Novita Iren Br Bangun Irnawaty Irnawaty, Irnawaty Jaya, Genta Adha Jufri Darma Junaidi Junaidi Kusuma, Erlang Darma Kusuma, Rahiel Rindu Latifa, Ulinnuha Lestari, Dira M. Iqbal Manalu, Vivin Silvia Boang Mandurroh, Resti Sri Maria Laot Kian, Antonius Maulida, Alwi Zulfa Munawar, Azrina Rival Munir, Arham Muthoharoh Muthoharoh, Muthoharoh Nababan, Ramsul Nataria, Popi Nina Herlina Nugraha, Amalia Nurdin Nurdin NURUL AZIZAH PA, Eh Bungana Beru Pakpahan, Lisa Caroline Pangestu, Aistu Nur Cahya Panggabean, Naulita Perangin-angin, Reh Bungana Beru Pranata, Raymond Pratama, Reynaldi Purba, Desriani Ronay Fiona Purba, Viona Francesca Putri Rachmaida, Nabila Rahmah, Nia Ramdhan, Dadan Saepul Ramsul Nababan Razan, Abdullah Richard, Fahri Syach Roland Prawyra Sitorus, Hizkia Rouli br Lumban Batu Saboe, Aninka Saifullah, Ahmad Sari, Yunita Sartika Sherly Asriyani Sihaloho, Oksari Sijabat, Yosua Gabe Maruli Siswandari Noertjahjani Situmorang, Lennai Sri Rejeki Stephanie, Erviana Suli, Suli Supartono, Toto Surya Dharma Suwandi, Deden Winda Suyuti Suyuti Tamba, Relly Thesia, Devi Putri Topo Jers, La Ode Tri Ferga Prasetyo Wijayanti, Rima Rizqi Windayani, Silma Wulandari, Poppy Yayan Hendrayana