PENERAPAN ALJABAR LINEAR PADA RANGKAIAN LISTRIK

Authors

  • M. Hizryan Furqan Universitas Negeri Medan
  • Philip Maloma Sinaga Universitas Negeri Medan
  • Nabila Syakira Universitas Negeri Medan
  • Ester yunika purba Universitas Negeri Medan

DOI:

https://doi.org/10.61722/jipm.v4i2.2254

Keywords:

Inflation; Purchasing Power

Abstract

Linear algebra is a branch of mathematics that plays an essential role in various engineering fields, particularly in electrical circuit analysis. Complex electrical circuits often produce systems of linear equations that are difficult to solve manually. Therefore, a systematic mathematical approach is required to obtain efficient and accurate solutions. This study aims to examine the application of linear algebra concepts, especially matrices and systems of linear equations, in electrical circuit analysis using mesh and nodal methods. The research method employed is a literature study combined with mathematical analysis of electrical circuit models. The results indicate that the matrix method simplifies the calculation of currents and voltages in electrical circuits and improves the efficiency of solving complex equation systems. Thus, the application of linear algebra provides a significant contribution to simplifying electrical circuit analysis in a systematic and structured manner

References

Abdelaziz, A., & Khalil, A. (2022). Matrix methods for solving complex electrical circuit problems. International Journal of Electrical Engineering Education, 59(3), 1–15. https://doi.org/10.1177/00207209221084561

Agarwal, R., & Gupta, V. (2021). Application of linear algebra in electrical network analysis. Journal of Engineering Mathematics, 129(1), 45–60. https://doi.org/10.1007/s10665-021-10145-9

Bansal, R. K. (2021). Electrical Engineering: Principles and Applications. Pearson Education.

Boylestad, R. (2020). Introductory Circuit Analysis (14th ed.). Pearson.

Chen, Y., Zhang, H., & Li, X. (2023). Numerical techniques for circuit analysis using matrix formulation. IEEE Access, 11, 22540–22552. https://doi.org/10.1109/ACCESS.2023.3245678

Dorf, R. C., & Svoboda, J. A. (2021). Introduction to Electric Circuits (10th ed.). Wiley.

El-Sharkawi, M. A. (2020). Fundamentals of Electric Power Engineering. Cengage Learning.

Fausett, L. V. (2022). Applied Numerical Analysis Using MATLAB. Pearson.

Glover, J. D., Sarma, M. S., & Overbye, T. (2021). Power System Analysis and Design (7th ed.). Cengage Learning.

Hernandez, J., & Ramirez, P. (2020). Matrix-based analysis of DC circuits for engineering education. European Journal of Engineering Education, 45(6), 925–938. https://doi.org/10.1080/03043797.2020.1725893

Kreyszig, E. (2020). Advanced Engineering Mathematics (10th ed.). Wiley.

Kumar, S., & Patel, D. (2022). Application of Gaussian elimination in circuit analysis. Procedia Computer Science, 202, 245–252. https://doi.org/10.1016/j.procs.2022.04.034

Lay, D. C., Lay, S. R., & McDonald, J. J. (2021). Linear Algebra and Its Applications (6th ed.). Pearson.

Meyer, C. D. (2021). Matrix Analysis and Applied Linear Algebra. SIAM.

Mohamed, A., & Hassan, M. (2024). Linear algebra approach for large-scale electrical network modeling. IEEE Transactions on Education, 67(1), 12–20. https://doi.org/10.1109/TE.2023.3290012

Nilsson, J. W., & Riedel, S. (2020). Electric Circuits (11th ed.). Pearson.

O’Neil, P. V. (2021). Advanced Engineering Mathematics. Cengage Learning.

Rao, S. S. (2022). Engineering Mathematics and Applications. Elsevier.

Singh, A., & Verma, R. (2023). Teaching circuit analysis using linear algebra concepts. International Journal of Electrical Engineering Education. https://doi.org/10.1177/00207209231123456

Strang, G. (2020). Linear Algebra and Learning from Data. Wellesley-Cambridge Press.

Zhang, Q., & Wang, L. (2022). Computational linear algebra methods in electrical engineering applications. Applied Mathematics and Computation, 418, 126824. https://doi.org/10.1016/j.amc.2021.126824

Zuhri, M. A., & Ammarilia, F. W. (2025). Analysis of the Influence of Inflation on the Real Value of Deposits on Property Purchase Accessibility. International Journal of Global Operations Research.

Downloads

Published

2026-03-28

How to Cite

M. Hizryan Furqan, Philip Maloma Sinaga, Nabila Syakira, & Ester yunika purba. (2026). PENERAPAN ALJABAR LINEAR PADA RANGKAIAN LISTRIK. JURNAL ILMIAH PENELITIAN MAHASISWA, 4(2), 194–202. https://doi.org/10.61722/jipm.v4i2.2254

Similar Articles

You may also start an advanced similarity search for this article.

Most read articles by the same author(s)