Pertemuan 13 Applications of the Laplace Transform Matakuliah : H0042/Teori Rangkaian Listrik Tahun : 2005 Versi : <<versi/01 Pertemuan 13 Applications of the Laplace Transform
Learning Outcomes Pada akhir pertemuan ini, diharapkan mahasiswa akan mampu : Menunjukkan respons transien rangkaian RLC dengan metode transformasi Laplace
Materi 1 : mengenal karakteristik jaringan dinamik Outline Materi Materi 1 : mengenal karakteristik jaringan dinamik Materi 2 : elemen dinamik kapasitor Materi 3 : elemen dinamik induktor Materi 4 : elemen dinamik resistor Materi 5 : aplikasi transformasi Laplace pada jaringan dinamik.
Characteristics of Dynamic Network Dynamic Elements Ohm’s Law:ineffective Inductor
2). Capacitor
Example :
Why so simple? Algebraic operation! Dynamic Relationships (not Ohm’s Law) Complicate the analysis Using Laplace Transform
Define ‘Generalized Resistors’ (Impedances) As simple as resistive network!
Solution proposed for dynamic network: All the dynamic elements Laplace Trans. Models.
3). Laplace transform models of circuit elements. 1. Capacitor
2) Inductor
3) Resistor V(s) = RI(s) 4)Sources
4). Circuit Analysis: Examples Find Norton Equivalent circuit
Assumption: *Review of Resistive Network 1) short-circuit current through the load: 2) Equivalent Impedance or Resistance or : A: Remove all sources B: Replace by an external source C: Calculate the current generated by the external source ‘point a’ D: Voltage / Current * Solution 1) Find
2) Find
(Will I(s) be zero? We don’t know yet!) Vtest(s)
condition: 1 ohm = 3/s or I(s) = 0 =>I(s) = 0 =>Zs = ZL
RESUME Jaringan dinamis dapat dianalisa dengan sederhana menggunakan model transformasi Laplace.