1. HOMEWORK 07 Modeling of Electromechanical Systems Problem 1: Problem 2: Problem 3:

2. Problem 1: Energy equations considered in example 7.1 are given below; Motor + - VkVk J m, B m R a, L a K i, K b 12 ByBy K2K2 z2z2 z1z1 JLJL 3 4 2 Input : V k Generalized variables: q a, θ m, θ L Establish the mathematical model of the system and organize in matrix form. Click for answer.

3. Problem 2: In the system shown above, core of inductor is movable and the change of inductance via x is given below. Establish the mathematical model of the system. x(t) ve q(t) are the generalized variables, V k (t) is the input. Click for answer. L(x) VkVk + - R x(t) m k b

4. Problem 3: In the electromechanical system f k (t) and V k (t) are the inputs. q(t), x 1 (t) and x 2 (t) are the generalized variables. Establish the mathematical model of the system. R2R2 L(x 1 ) VkVk + - R1R1 m2m2 k2k2 b k1k1 fkfk x1x1 x2x2 C(x 2 ) m1m1 Click for answer.