Pertemuan 13 Applications of the Laplace Transform

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1 Pertemuan 13 Applications of the Laplace Transform
Matakuliah : H0042/Teori Rangkaian Listrik Tahun : 2005 Versi : <<versi/01 Pertemuan 13 Applications of the Laplace Transform

2 Learning Outcomes Pada akhir pertemuan ini, diharapkan mahasiswa akan mampu : Menunjukkan respons transien rangkaian RLC dengan metode transformasi Laplace

3 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.

4 Characteristics of Dynamic Network
Dynamic Elements  Ohm’s Law:ineffective Inductor

5 2). Capacitor

6 Example :

7 Why so simple? Algebraic operation!
Dynamic Relationships (not Ohm’s Law) Complicate the analysis Using Laplace Transform

8 Define ‘Generalized Resistors’ (Impedances)
As simple as resistive network!

9 Solution proposed for dynamic network:
All the dynamic elements  Laplace Trans. Models.

10 3). Laplace transform models of circuit elements.
1. Capacitor

11 2) Inductor

12 3) Resistor V(s) = RI(s) 4)Sources

13 4). Circuit Analysis: Examples
Find Norton Equivalent circuit

14 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

15

16 2) Find

17 (Will I(s) be zero? We don’t know yet!)
Vtest(s)

18 condition: 1 ohm = 3/s or I(s) = 0 =>I(s) = 0 =>Zs =  ZL

19 RESUME Jaringan dinamis dapat dianalisa dengan sederhana menggunakan model transformasi Laplace.