ANALISIS RANGKAIAN RLC SERI DAN PARALLEL DENGAN MENGGUNAKAN METODE EULER DAN RUNGE KUTTA

Hidayati, Nur (2014) ANALISIS RANGKAIAN RLC SERI DAN PARALLEL DENGAN MENGGUNAKAN METODE EULER DAN RUNGE KUTTA. Undergraduate thesis, UNIMED.

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Abstract

Penelitian ini bertujuan untuk mendapatkan bentuk komputasi dari bentuk numerik persamaan matematis rangkaian RLC seri dan paralel dan mendapatkan galat (error) dari metode yang digunakan. Adapun metode yang digunakan dalam penelitian ini adalah metode Euler dan Runge-kutta yang mempunyai ketelitian yang tinggi sehingga relatif stabil dan mempunyai kesalahan pembulatan yang lebih kecil.Data yang diperoleh setelah merunningkan program adalah komputasi dan visualisasi rangkaian RLC seri dan RLC paralel dengan pendekatan analitik, metode euler dan metode runge-kutta serta hasil galat(error) dari metode euler dan metode runge-kutta setelah dibandingkan dengan pendekatan analitik. Program yang dihasilkan dari skripsi ini menampilkan dua tampilan utama yaitu tampilan utama untuk rangkaian RLC seri dan rangkaian RLC paralel serta tampilan galat dari running program. Untuk rangkaian RLC seri adalah semakin besar nilai R osilasi yang terjadi semakin kurang redam dan sebaliknya. Dengan metode numerik yang digunakan besar langkah waktu t memiliki batasan minimal dan maksimal agar proses iterasi menjadi stabil. Dari penelitian ini juga diperoleh bahwa metode yang lebih akurat adalah metode Runge-kutta merupakan metode yang memiliki nilai galat(error) yang kecil. Hal ini dibuktikan dengan hasil rata-rata galat yang ditunjukan ketika h=0,4 pada rangkaian RLC seri maka galat metode euler sebesar 274,757% sedangkan galat pada metode runge-kutta adalah 209,791%. Untuk rangkaian RLC parallel pada h=0,4 galat yang dihasilkan pada metode euler adalah 115,9802%, sedangkan galat pada metode runge-kutta adalah 57,9564%. Ketika h=0,26 pada rangkaian RLC seri maka galat metode euler sebesar 44.0336 sedangkan galat pada metode runge-kutta adalah 25,8112%. Untuk rangkaian RLC parallel pada h=0,26 galat yang dihasilkan pada metode euler adalah 101,5074% sedangkan galat pada metode runge-kutta adalah 40,9991%.

Item Type: Thesis (Undergraduate)
Contributors:
ContributionNameNIDN/NIDK
Thesis advisorSahyar, -196004261985031003
Call Number: 530.15 Nur a
Keywords: rangkaian RIC; rangkaian RLC seri; metode euler; metode runge- kutta; matlab; operator aritmatika; operator relasi
Subjects: Q Science > QC Physics
Q Science > QC Physics > QC120 Descriptive and Experimental mechanics
Divisions: Fakultas Matematika dan Ilmu Pengetahuan Alam > Fisika
Depositing User: Mrs Desy Sry Yani
Date Deposited: 08 Apr 2016 08:34
URI: http://digilib.unimed.ac.id/id/eprint/12053

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