Layout Schematic

FIGURE P1.5 Proposed solar powered residential home with plug-in hybrid electric vehicle (PHEV) loads⁸

of charge (SOC). Draw the following two functional block diagrams for this system:

1. 
   A diagram that illustrates the conversion of solar irradiation into energy stored in the battery. In that diagram, the input is the solar irradiance, r(t), and the output is the battery voltage, v_b(t).
   
2. 
   The main diagram, in which the input is the desired output voltage, v_r(t), and the output is the actual inverter output voltage, v_o(t).
   

Both of these functional block diagrams should show their major components, including the PV array, MPPT controller, dc/dc converter, battery pack, dc/ac inverter, current controller, and the Power Manager and Controller. Show all signals, including intermediate voltages and currents, time of day, and the SOC of the battery.

17. 
    Oil drilling rigs are used for drilling holes for identifi- cation of oil or natural gas sources and for extraction.
    

⁸ Gurkaynak, Y., Li, Z., and Khaligh, A. A Novel Grid-tied, Solar Powered
Residential Home with Plug-in Hybrid Electric Vehicle (PHEV) Loads. IEEE Vehicle Power and Propulsion Conference 2009, pp. 813–816. (Figure 1, p. 814).
An oil drilling system can be thought of as a drill inside a straw, which is placed inside a glass. The straw assembly represents the drill string, the drill surrounded by fluid, and the glass represents the volume, the annulus, around the drill string through which slurry and eventually oil will flow as the drilling progresses.
Assume that we want to control the drill pres- sure output, P_d (t), with a reference voltage input, V_d (t). A control loop model (Zhao, 2007) consists of a drill-pressure controller, drill motor subsystem, pulley subsystem, and drill stick subsystem. The output signal of the latter, the drill pressure, P_d (t), is measured using a transducer, which transmits a negative feedback voltage signal, V_b(t), to the drill pressure controller. That signal is compared at the
input of the controller to the reference voltage, V_r (t), Based on the error, e(t) = V_r (t) – V_b(t), the drill pressure controller sets the desired drill speed, ω_d, which is the input to the drill motor subsystem whose output is the actual drill speed, ω_a, which is the input
to the pulley subsystem. The output of the pulley system drives the drill stick subsystem. The drill stick

subsystem may be severely affected by environmental conditions, which may be represented as disturbances acting between the pulley and stick subsystems.


18. Given the electric network shown in Figure P1.6.
Draw a functional block diagram for the above system, showing its major components as well as all signals.

1. 
   ^{d2x dx}
   

_dt2 ‡ 2 _dt ‡ 2x ˆ sin2t

dt
x…0†ˆ 2; ^dx …0†ˆ –3

2. 
   
   dt²
   
   dt
   ^d2^x ‡ 2 ^dx ‡ x ˆ 5e^–2t ‡ t
   

[Review]

1. 
   Write the differential equation for the network if
   

… †ˆ … †
v t u t , a unit step.

2. 
   Solve the differential equation for the current, i(t), if there is no initial energy in the network.
   
3. 
   Make a plot of your solution if R=L ˆ 1.
   

R


^v(t) L