CONTROL SYSTEMS ENGINEERING - WILEYPLUS
7th Edition
ISBN: 9781119143277
Author: NISE
Publisher: WILEY
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Textbook Question
Chapter 1, Problem 16P
Figure Pl.5 shows the topology of a photo-voltaic (PV) system that uses solar cells to supply electrical power to a residence with hybrid electnc vehicle toads (Gurkavnak. 2009). The system consists of a PV array to collect the sun's rays, a battery pack to store energy during the day. a dc/ac inverter to supply ac power to the load, and a bidirectional dc/dc converter to control the terminal voltage of the solar array according to a maxunum power point tracking (MPPT) algorithm. In case of sufficient solar power (solar insolation), the dc/dc converter charges die battery and die solar array supplies power to the load through the dc/ac inverter. Widi less or no solar energy (solar non-insolation). power is supplied from the battery to the load through the dc/dc converter and die dc/ac inverter. Thus, the dc/dc converter must be bidirectional to be able to charge and discharge the batlery. With the MPPT controller providing the reference voltage, the converter operates as a step-up converter (boost) to discharge the battery if the battery is full or a step-down (buck) converter, which charges die batlery if it is not full.7
In Figure Pl.5, the Inverter is controlled by die Power Manager and Controller through the Current Controller. The Power Manager and Controller directs the Inverter to take power either from the battery, via the Bidirectional Converter, or the solar array.
of charge (SOC). Draw the follow ing two functional block diagrams for this system:
- 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. Vb(t).
- The main diagram, in w hich the input is the desired output voltage. Vr(t) and the output is the actual inverter output voltage, Vo(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.
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PROBLEM: VID-3
BOOK: ENGINEERING THERMOFLUIDS, M. MASSOUD
(please can you answer my question even if it's rough computation)
1. A motor coil can be modeled as a hollow copper cylinder with an outer diameter of
0
50 mm, an inner diameter of 40 mm, and a length of 60 mm. The motor stalls at time t = 0
and, at this point, the copper experiences a step input in electrical heating of Po u(t),
where Po is 350 W. Assume that there is little time for significant heat loss to the
environment so that the copper cylinder can be considered to be insulated. If the initial
temperature is 30 °C, find the temperature as a function of time, T(t), analytically using
Laplace transforms. Calculate the time required to reach the breakdown temperature of
the wire insulation, which is approximately 250 °C. Write a script file in MATLAB® to: (a)
determine the time for the copper to reach 250 °C using the command find; and (b) plot
T(t) over this time interval. Copper has a density of 8960 kg/m³ and a specific heat of
390 J/kg-°C.
25 mm
20 mm
P(t) = Pou(t)
(i) Find the thickness of an isolated block in ‘meter’ capable of being charged to 2.4 x 106Volt potential before sparking into the air, given that dielectric strength of air is 24,000V/cm.
(ii) Find the heat energy(flow) in ‘Joules’ required to prepare a coffee in an electric kettlewith 0.5 litre (1litre = 10-3 m3) of water which is heated from 30ºC to 85ºC?Take density of water as 1000 kg /m3and Specific heat of water as 4.187 kJ/kg º K.
Chapter 1 Solutions
CONTROL SYSTEMS ENGINEERING - WILEYPLUS
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