A three-phase ac/dc converter supplies dc to a battery charging system or dc motor (Graovac, 2001). Each phase has an ac filter represented by the equivalent circuit in Figure P2.38.
FIGURE P238 AC filter equivalent circuit for a three-phase ac/dc converter
Derive that the inductor current in terms of the two active sources is
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Control Systems Engineering
- The transfer function of a dynamical system is written as T(S) = T₁(s)/T₂(s). At 5 rad/s, the gain associated with T₁(S) is 18 dB and the gain associated with T2(S) is 63 dB. Calculate the total gain associated with T(S) at 5 rad/s.arrow_forwardQuestion 5 The impedance matrix [Z (iw)], can be used to determine the solution as: b. a. X = [Z(iw)]-¹Fo X = [Z(iw)]Fo c. X = [Z(iw)]Xoarrow_forwardAssignment 1 A mechanical system with a damper and spring is shown in Figure 1.6. C K Figure 1.6 Damper and spring system a) Obtain the unit step response for the following: 1. damping factor, C = 12 Ns/m and the spring stiffness, K = 36 N/m 2. damping factor, C = 62 Ns/m and the spring stiffness, K = 128.65 N/m 3. damping factor, C = 45 Ns/m and the spring stiffness, K = 425.25 N/m b) Verify in each cases that the calculated time constant (T=C/K) and the one measured from the output step response curve as 63% of the final value are same. c) Obtain the steady state value of the system (t in seconds).arrow_forward
- Equation (E1-V1-E2-V2 = 0) is the statement of: O a. Kirchhoff's current low O b. Mesh analysis O. Kirchhoffs voltage low O d. Nodal analysisarrow_forwardConsider the double-slider two-loop linkage of Figure 2.23, where r₁ = 1, r₂ = 5.2, p = 5, "DE = 4, "CD = 1.5, and 0₁ = 7/3 rad. (Distance DE is identified as PDE, etc.) Find 02, 03, D, and E. B "₁ 0₂ 50₂ TEarrow_forward3. Please consider the amplifier below: V₁ w R3 7 ΚΩ V2 ww R1 7 ΚΩ 22 R2 70 ΚΩ + ww R4 70 ΚΩ ли VL VO R5 R16 2 ΚΩ Vcc +/-8V 2 ΚΩ a. Determine VO b. Determine VL/V0 c. If V2=3V and V1 = 1V, determine VO d. Calculate power dissipated by the resistor R16 if V2 = 3V and V1 = 1Varrow_forward
- 3. Figure 3 shows a nonlinear circuit consisting of a diode and a capacitor in parallel combination. Furthermore, the circuit is driven by a constant current source Is. The voltage v(t) satisfies the nonlinear equation odv dt + Iev/(nVT) = Is (9) where I, n and Vr are the saturation current, emission coefficient, and thermal voltage of the diode, respectively. Moreover, they are all constants. Also in (9), C is the capacitance and Is > I. Answer the following questions. (a) When the system is in equilibrium, v(t) = vo = constant. Find the constant vo. (b) Linearize (9) around v = vo to obtain a linearized equation of motion.arrow_forwardPlease answer: How many degrees of freedom are in the system Write out the equations of morion in matrix form & Find the natural frequencies Given: k = 10 N/m; r = 0.5 m; I1 = 1.25 kg*m2 ; I2 = 1.2 kg*m2; m = 1 kgarrow_forwardThe differential equations of motion of a 2-D system are determined as: (see image) Find the system’s natural frequencies and mode shapes.arrow_forward
- XI m m2 ki k2 m =10Kg m2 = 1Kg K = 30N / m K, = 5N / m Consider the system given in the figure The degree of freedom of the system is Choose.. The first natural frequency is (rad/s) The second natural frequency is Choose. 수 Choose.. (rad/s) The third natural frequency is Choose. 수 (rad/s) The fourth natural frequency is (rad/s) Choose..arrow_forwardQUESTION 2 Figure 2 shows a spring-mass system with m = 10 kg, k = k2= k3 = ka = 2000 N/m, ks = ko = 3000 N/m. The system driven by external forces, F = Fo sin (2xf) t, where fis the frequency in Hz. The initial displacement and initial velocity are x, and o, respectively. a) If F =0, determine the total response of the system. b) Determine the total response of the system when Fo is not equal to zero. c) If the properties of the system are to be constant, propose the value of fso that the response of the system is in phase with the external force. ki k, x (t) F=F,sin (2xf) t ks Figure 2arrow_forward3.29. For each state of an n-channel enhancement-mode MOSFET that follows, determine what operating region the MOSFET is in if the threshold voltage V, is 3 V. a. V = 2 V, Vds=5 V b. Vas = 4 V, Vas = 5 V c. Vg = 6 V, V4s = 5 V gs с. %3D d. Ve = - 2.5 V gsarrow_forward
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