Differential Equations and Transient AnalysisLaajuus (3 cr)
Code: ELA23EA01
Credits
3 op
Objective
The student:
- should understand and be able to use differential equations of the first and second order to model and solve technical problems
- be able to understand and describe different types of dynamic processes and set up, solve and visualize simple models in electrical engineering and process technology.
Content
Differential equations to describe and model different dynamic processes.
Solution of first and second order linear differential equations.
Discretization and numerical solution of differential equations with Euler's method.
Step response of RL, RC and RLC circuits.
Transient and stationary currents and voltages.
Simulation tool (matlab) for dynamic processes.
Qualifications
No prerequisites.
Assessment criteria, satisfactory (1)
Understands the concept of a dynamic process. Can provide a qualitative picture of a simple dynamic process, e.g. step response of a RL- or RC-circuit.
Can provide a qualitative description of the process when connecting DC voltage to RL, RC or RLC circuit.
Knows MatLab as a tool for the analysis of dynamic processes.
Assessment criteria, good (3)
Can derive the differential equation for a simple dynamic process, e.g. connection of direct voltage to a RL‐
or RC circuit.
Can use a table to give a quantitative description of the process when connecting similar and alternating voltage to RL, RC or RLC circuit.
Can use MatLab as a tool for analysis of dynamic processes
Assessment criteria, excellent (5)
Can derive the differential equation for more complex dynamic processes, e.g. connection of direct voltage to
RLC circuit or connection of AC voltage to RL, RC and RLC circuit.
Can solve differential equations describing dynamic processes.
Is well familiar with the use of MatLab as a tool in the analysis of dynamic processes.
Materials
Material on Moodle and web-based material.
Enrollment
01.12.2024 - 11.03.2025
Timing
10.03.2025 - 04.05.2025
Number of ECTS credits allocated
3 op
Mode of delivery
Contact teaching
Unit
Faculty of Technology and Seafaring
Campus
Vasa, Wolffskavägen 33
Teaching languages
- Svenska
Degree programmes
- Degree Programme in Electrical Engineering and Automation
Teachers
- Anders Skjäl
- Sofia Frilund
Teacher in charge
Ronnie Sundsten
Scheduling groups
- ELA23-A (Size: 40. Open UAS: 0.)
- ELA23-K (Size: 40. Open UAS: 0.)
Groups
-
ELA23D-VIngenjör (YH), el- och automationsteknik, 2023, dagstudier
Small groups
- ELA23-A
- ELA23-K
Objective
The student:
- should understand and be able to use differential equations of the first and second order to model and solve technical problems
- be able to understand and describe different types of dynamic processes and set up, solve and visualize simple models in electrical engineering and process technology.
Content
Differential equations to describe and model different dynamic processes.
Solution of first and second order linear differential equations.
Discretization and numerical solution of differential equations with Euler's method.
Step response of RL, RC and RLC circuits.
Transient and stationary currents and voltages.
Simulation tool (matlab) for dynamic processes.
Materials
Material on Moodle and web-based material.
Evaluation scale
H-5
Assessment criteria, satisfactory (1)
Understands the concept of a dynamic process. Can provide a qualitative picture of a simple dynamic process, e.g. step response of a RL- or RC-circuit.
Can provide a qualitative description of the process when connecting DC voltage to RL, RC or RLC circuit.
Knows MatLab as a tool for the analysis of dynamic processes.
Assessment criteria, good (3)
Can derive the differential equation for a simple dynamic process, e.g. connection of direct voltage to a RL‐
or RC circuit.
Can use a table to give a quantitative description of the process when connecting similar and alternating voltage to RL, RC or RLC circuit.
Can use MatLab as a tool for analysis of dynamic processes
Assessment criteria, excellent (5)
Can derive the differential equation for more complex dynamic processes, e.g. connection of direct voltage to
RLC circuit or connection of AC voltage to RL, RC and RLC circuit.
Can solve differential equations describing dynamic processes.
Is well familiar with the use of MatLab as a tool in the analysis of dynamic processes.
Qualifications
No prerequisites.