Download Derive the transfer function

University of Debreceni, Faculty of Engineering , Department of Electrical Engineering and Mechatronics
Witten final exam
Mechatronical engineer
Debrecen, 03-04 January 2017
Name:
Neptun code:
Remarks:
Please use the rules of technical drawing, and standard electrical components.
Descibe the meaning of letters and attach the SI unit in case of mathematical equations.
Be sure, that your draw and writing should be readable
Time to develop solutions: 3 hours or 180 minutes.
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University of Debreceni, Faculty of Engineering , Department of Electrical Engineering and Mechatronics
1. Digital Servo Drives:
Draw the steady state equivalent circuit of AC induction machine (example:
transformer)! Derive the transfer function (in frequency domain) between primary
input and secondary output voltages.
How the equivalent circuit simplifies in case of short and open circuit connection?
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University of Debreceni, Faculty of Engineering , Department of Electrical Engineering and Mechatronics
2.Selected chapters from Electrotechnics:
Draw series R-L-C circuit and derive the differential equation! Derive transfer
function between input voltage and voltage across resistor!
Consider the RLC circuit as a plant to control. Design control circuit with P type
(proportional) controller, where the control output is the voltage across the
resistor.
Draw the block diagram and electronics circuit of the control loop.
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University of Debreceni, Faculty of Engineering , Department of Electrical Engineering and Mechatronics
3. Dynamics of mechatronics systems:
Draw a force excited spring-mass-dumper system, where spring and dumper are
connected to parallel to the mass!
Derive the bond graph, differential equation and state space equation, where
position and speed of the mass should be state variables!
Derive the discrete model of the system, using finite differential (Eurer- ) method
and implement it as a “C-like” programming langue (LV: Formula Node).
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University of Debreceni, Faculty of Engineering , Department of Electrical Engineering and Mechatronics
4. Measurements and modelling:
Building with one room is heating with natural gas operated boiler. The hydraulic
schematic as attached: one radiator, one floor heating, and one Domestic Hot
Water circuits are acting as thermal loads.
Derive the block diagram and electric schematic of temperature control system,
implemented with finite state controller! Select proper temperature sensors,
actuators and control elements!
Draw hydraulic and electric schematic of heat flow measurement of floor heating
load!
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University of Debreceni, Faculty of Engineering , Department of Electrical Engineering and Mechatronics
5. Design of mechatronics systems:
Design a pedestrian crossing traffic control light system, where user can initiate
crossing with switch, using systematic design method applied in Mechatronics! The
system should include light for traffic control and switches for pedestrians.
Design outputs:
System Sketch, state machine diagram, and binary logic functions. PLC program can
be included as optional.
Limit your answer within 1,5 pages!
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University of Debreceni, Faculty of Engineering , Department of Electrical Engineering and Mechatronics
6. Builing automation and security systems:
Describe the Modbus RTU Field Bus Communication on RS485 network. Describe
the datagram format, network topology, voltages on the wires, line end (close)
resistors connection and value, wiring for half- and full duplex!
3 devices are connected to Half Duplex capable, RS485 network. The cable
distances are 500 meters between the units, where cable resistance is 500
Ohm/meter and 50 pF/meter. What is the maximum frequency (maximum
bandwidth) what is able to pass with -3dB loss, by one cable segment?
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