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Pengantar Teknik Pengaturan* AK-042209 Lecture 2: Pemodelan matematik sistem dinamik2

Pengantar Teknik Pengaturan* AK-042209 Lecture 2: Pemodelan matematik sistem dinamik2. Disiapkan oleh Dr.-Ing. Mohamad Yamin Center for Automotive Research Universitas Gunadarma. Outline. Sistem Elektrikal: Sistem Mekanikal Model Cruise control Model Suspensi Model Pendulum

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Pengantar Teknik Pengaturan* AK-042209 Lecture 2: Pemodelan matematik sistem dinamik2

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  1. Pengantar Teknik Pengaturan*AK-042209Lecture 2: Pemodelan matematik sistem dinamik2 Disiapkan oleh Dr.-Ing. Mohamad Yamin Center for Automotive Research Universitas Gunadarma

  2. Outline • Sistem Elektrikal: • Sistem Mekanikal • Model Cruise control • Model Suspensi • Model Pendulum • Sistem Heat dan Fluid • Model Room temperature • Model Heat Exchanger • Model Water Thank • Model Hydraulic Piston Dr.-Ing. Mohamad Yamin

  3. Sistem Elektrikal Pemodelan Sistem Elektrikal, diturunkan dari hukum Kirchhoff tentang Arus (Kirchhoff Current Law [KCL]) dan tegangan (Kirchhoff Voltage Law [KVL]) Dr.-Ing. Mohamad Yamin

  4. Contoh1:Model rangkaian tertutup RLC • Elemen resistor, inductor dan kapasitor dalam sirkuit merupakan elemen pasiv. • Sumber tegangan atau sumber arus merupakan elemen elektrikal yang aktiv. • Tegangan atau arus diasumsikan konstan terhadap perubahan beban. Dr.-Ing. Mohamad Yamin

  5. Contoh2Model Cruise Control Atau dalam variabel kecepatan, v f m Dr.-Ing. Mohamad Yamin

  6. y y m1 m1 b x k1 x m2 m2 r k2 Contoh3Model Suspensi atau Dr.-Ing. Mohamad Yamin

  7. Contoh4Model Pendulum O T  l Momen Inersia massa terhadap ttk O. mg Dr.-Ing. Mohamad Yamin

  8. Sistem Aliran panas dan Fluida Aliran energi panas Tahanan thermal Temperatur sebagai fungsi dari aliran energi panas Kapasitas thermal Spesifik panas pada volume konstan Dr.-Ing. Mohamad Yamin

  9. q2 R2 q1 R1 Contoh5Model temperatur ruangan (ceiling/atap) i=inside (didalam ruangan), o=outside(diluar ruangan) (wall/dinding) Dr.-Ing. Mohamad Yamin

  10. Contoh6Model Heat Exchanger Ks=koefisien aliran valve, As=luas penampang valve Aliran energi panas Steam, Tsi Laju perubahan temperatur steam Air, Twi Laju perubahan temperatur air Air, Tw Tm Waktu delay, td pada pengukuran aliran air keluar Steam, Ts Dr.-Ing. Mohamad Yamin

  11. Contoh7Model Water Thank Persamaan kontinuitas Wi Laju perubahan ketinggian, h dimana Wo Dr.-Ing. Mohamad Yamin

  12. Contoh8Model Water Thank Piston, m x Tekanan, p Dr.-Ing. Mohamad Yamin

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