Grafik Aliran Sinyal dan Blok Diagram

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1 Grafik Aliran Sinyal dan Blok Diagram
KALBIN SALIM, M.Eng Jurusan Teknik Elektro Universitas Kepulauan Riau

2 Blok Diagram dasar sistem kontrol
C(s) R(s) G(s) The block diagram technique has been developed not only to show the interrelationship between the constituents of a control system but also to do algebraic manipulations through their reduction procedure

3 Penjumlahan pada suatu titik dengan blok diagram
C(s) + - X(s) Y(s) Z(s) C(s) = X(s) – Y(s) + Z(s)

4 Implementasi blok diagram pada rangkaian listrik
ei eo Ingat: KCL dan KVL

5 Persamaan transformasi laplace
𝑖= 𝑒 𝑖 − 𝑒 𝑜 𝑅 dan 𝑒 𝑜 =𝐿 𝑑𝑖 𝑑𝑡 Persamaan transformasi laplace 𝐼(𝑠)= 𝐸 𝑖 (𝑠)− 𝑒 𝑜 (𝑠) 𝑅 𝐸 𝑜 𝑠 =𝑠𝐿 𝐼(𝑠) Blok diagram + - Ei(s) Eo(s) I(s) I(s) E(s) 1/R sL

6 Gabungan kedua blok diagram
- + Ei(s) I(s) I(s) Eo(s) 1/R sL

7 Contoh 2. R1 C1 Vi (t) Vo(t) R1 C2 i1 i2 v1 v1 𝑖 2 = 𝑣 1 − 𝑣 0 𝑅 2
𝑖 2 = 𝑣 1 − 𝑣 0 𝑅 2 𝑣 0 = 𝑖 2 𝑑𝑡 𝐶 2 𝑖 1 = 𝑣 𝑖 − 𝑣 1 𝑅 1 𝑣 1 = 𝑖 1 − 𝑖 2 𝑑𝑡 𝐶 1

8 Persamaan transformasi laplace menjadi:
𝑖 1 (𝑠)= 𝑣 𝑖 (𝑠)− 𝑣 1 (𝑠) 𝑅 1 𝑣 1 (𝑠)= 𝑖 1 (𝑠) − 𝑖 2 (𝑠) 𝑠 𝐶 1 𝑖 2 (𝑠)= 𝑣 1 (𝑠) − 𝑣 0 (𝑠) 𝑅 2 𝑣 0 (𝑠)= 𝑖 2 (𝑠) 𝑠 𝐶 2 (i) (iii) (ii) (iv)

9 Blok diagram: - + Vi(s) V1(s) I(s) I(s) - + i2(s) - + Vi(s) V1(s)
1/s C1 (i dan ii)

10 - + i2(s) - + Vi(s) i1(s) - + V0(s) i2(s) V1(s) - + Vi(s) - + i1(s) -
1/R1 1/s C1 1/R2 (i - iii) - + Vi(s) - + i1(s) - + V1(s) V0(s) - + i2(s) 1/ s C1 1/ S C2 1/R1 1/R2 (i - iv)

11 Latihan 1. Tentukan Persamaan laplace
- + R(s) B(s) E(s) C(s) I(s) G(s) R(S): reference input C(S): control out B(S): feedback signal E(S): signal actual control actions G(S): forward transfer function H(S): feedback transfer function T(S): close loop tranfer function H(s) Penyelesaian menjadi: R(s) C(s) G(s) / 1+G(s) H(s)

12 Latihan 2. Tentukan Persamaan laplace
G3(s) + - + R(s) C(s) G1(s) G2(s) H(s) R(s) C(s) ???

13 Thanks a lot