Penerapan Program Software Matlab Dalam Memecahkan Permasalahan Rangkaian Listrik: Dinamika Sistem Kapasitor Dan Induktor (Prinsip Nilai Dan Vektor Eigen)

Luluk Muthoharoh, Muhammad Putra Pamungkas, Reni Permata Sari

Abstract


Matlab software was applied in solving physics cases in electronics using value calculation programs and Eigenvectors. The physics case solved is an moving oscillator circuit consisting of five capacitors and four inductors. The purpose of this program is to determine the value and the Eigenvectors that can be obtained. The method used is to utilize the problem of values and Eigenvectors in the Matlab program. In the case of oscillator motion, each capacitor's size and inductor system have been determined according to the system.. The equation of motion for the capacitor and inductor system is reviewed at each point of the inductor and the function used is  called the ansatz function, then differentiated twice concerning time. By using the Matlab program application, the results obtained show that by using eig (Eigen) command the Matlab program can accurately show the results of running (execution) values and Eigenvector.

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References


Aryani, F. and Maisyitah, R. A. D. (2015) ‘Nilai Eigen Dan Vektor Eigen Dari Matriks Kompleks Bujursangkar Ajaib’, Jurnal Sains Matematika dan Statistika, 1(2), p. 10. doi: 10.24014/jsms.v1i2.1954.

Blackledget, J. M. (2006) ‘Eigenvalues and Eigenvectors’, Digital Signal Processing, pp. 255–297. doi: 10.1533/9780857099457.2.255.

Fitria, V. A. (2011) ‘Model Matematika Terhadap Penyebaran Penyakit Tuberkulosis di Rumah Sakit Paru Batu’, Jurnal Ilmiah Teknologi Informasi Asia, 5(2), pp. 60–67.

Hameyer, K ; Belmans, R. (1999) Numerical Modelling and Design of Electrical Machines and Devices, Choice Reviews Online. Edited by T. Belmans, R; Haydock, L; Molinari, G; Richter, K; Lee, BC; Russenchuck, S; Mohammed, OA; Savini, A; Sykulski, JK; Vas, P; Takahashi, N; Zakrzewski, K; Tsiboukis. Bath: Witt Press. doi: 10.5860/choice.37-4527.

Harahap (1998) Ensiklopedia Matematika. Jakarta: Ghalia Indonesia.

Hardiana, S. and Aris, S. (2014) ‘P Engembangan M Etode a Nalisis’, 6, pp. 1–6.

Herviani, B. P. (2019) PENENTUAN NILAI EIGEN SUATU MATRIKS DENGAN METODE PANGKAT (POWER METHOD) - PDF Free Download.pdf. Universitas Negeri Semarang.

Leo Adhar, E. (2012) ‘Pembelajaran Matematika dengan Metode Penemuan Terbimbing Untuk Meningkatkan Kemampuan Representasi dan Pemecahan Masalah Matematis Siswa SMP’, Jurnal Penelitian Pendidikan, 13(2), pp. 1–10.

Muh. Said (2015) ‘Aplikasi Program Matlab Dalam Memecahkan Kasus Fisika: Dinamika Sistem Massa Dan Pegas (Prinsip Nilai Dan Vektor Eigen)’, Jurnal Pendidikan Fisika Tadulako (JPFT), 3(1), pp. 46–50.

Mursyidah, H. and Subiono, S. (2017) ‘Eigenvalue, eigenvector, eigenmode of reducible matrix and its application’, AIP Conference Proceedings, 1867(August). doi: 10.1063/1.4994447.

Panjaitan, M. (2017) ‘PEMAHAMAN METODE NUMERIK MENGGUNAKAN PEMPROGRMAN MATLAB (Studi Kasus : Metode Secant)’, Jurnal Teknologi Informasi, 1(1), p. 89. doi: 10.36294/jurti.v1i1.108.

Pratiwi, Y. E., Kiftiah, M. and Ramadhani, E. W. (2017) ‘Penentuan Nilai Eigen dan Vektor Eigen Matriks Interval Menggunakan Metode Pangkat’, Buletin Ilmiah Math. Stat. dan Terapannya, 6(02), pp. 17–26. Available at: https://jurnal.untan.ac.id/index.php/jbmstr/article/view/20600.

Ramadhan, M. R., Waluya, S. B. and Kharis, M. (2015) ‘UNNES Journal of Mathematics’, Ujm, 1(2252), pp. 125–130.

Septian, A. (2014) ‘Pengaruh Kemampuan Prasyarat terhadap Kemampuan Penalaran Matematis Mahasiswa dalam Matakuliah Analisis Real’, ATIKAN: Jurnal Kajian Pendidikan, 4(2), pp. 179–188. Available at: http://journals.mindamas.com/index.php/atikan/article/view/16/15.

Suhendri, H., Anawati, S. and Nurhayati (2014) ‘Pendekatan Model Pembelajaran Konstruktif Berbasis Penemuan Terbimbing Di Sekolah Menengah Kejuruan ( Smk ) Se-Jakarta Selatan’, Prosiding Seminar Nasional Pendidikan Matematika STKIP Siliwangi, 2, pp. 101–106.

Widayanti, E. (2017) ‘Pemodelan Matematika Dalam Optimalisasi Produk Pengolahan Susu Segar’, MAJU : Jurnal Ilmiah Pendidikan Matematika, 4(2), pp. 55–69.

Wulandari, W., Darmawijoyo, D. and Hartono, Y. (2016) ‘Pengaruh Pendekatan Pemodelan Matematika Terhadap Kemampuan Argumentasi Siswa Kelas Viii Smp Negeri 15 Palembang’, Jurnal Pendidikan Matematika, 10(1). doi: 10.22342/jpm.10.1.3292.114-126.




DOI: https://doi.org/10.25077/jfu.10.3.303-309.2021

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