Electrical Circuits Analogous Systems
The free online course on the application of Mason's rule and the characteristic equation from differential equations.
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In this course, you will learn about the various graphical models used in state variable analysis, as well as the foundation and application of Mason's rule. First-order differential equations, as well as the application of transfer functions in multivariable systems, will also be covered in this course. Then, the course will teach you about the state-transition matrix as well as the relationship between state equations and transfer functions.
Then, this course will teach the learner about obtaining the characteristic equation from a particular differential equation for a circuit. Learners will also gain an understanding of the processes used in the modelling of mechanical systems, as well as the process involved in modelling electrical networks. Lastly, the learner will be able to understand the concept of rotational motion and the definition of the force current analogy.
This course is helpful for learners who want to understand how to use graphical representations in state variable analysis and apply Mason's rule. Learners can also gain an understanding of the concept of transfer functions as well as the usefulness of characteristic equations in any system. Begin this course now to understand the processes required when modelling mechanical systems as well as when modelling electrical networks.Start Course Now
State Variable Analysis
State Variable Analysis - Learning Outcomes
Introduction to Graphical Methods
State Transition Matrix
State Variable Method to Circuit Analysis
State Variable Analysis - Lesson Summary
Analogous Systems - Learning Outcomes
Characteristic Equation, Eigenvalues, and Eigenvectors
Modeling of Mechanical Systems
Modeling of the Rotational Motion of Mechanical Systems
Modeling of Electrical Systems
Solving Analogous Systems
Analogous Systems - Lesson Summary
Having completed this course, you should be able to:
- Identify the basic methods of graphically representing electric circuits.
- Identify the state equations for first-order differential equations.
- Discuss how to obtain the transfer function for multivariable systems.
- Explain how to convert from state diagrams to state equations and output equations.
- Discuss the relationship between state equations and transfer functions.
- Discuss how to obtain the characteristic equation from a differential equation.
- Identify the process of modelling mechanical systems.
- Explain the rotational motion in the modelling of mechanical systems.
- Discuss how to model passive electrical elements and electrical networks.
- Discuss steps to solve problems on analogous systems.
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