Hi Mr. Chand,
Let's take the power system as an example. Since you are an expert in electrical power system, what sort of mathematical expressions or functions appear in the power model? Are they linear or nonlinear? Please enlighten us.
Hello Annas Chand,
I can suggest some literature on system modelling and control.
1. Linear models of nonlinear systems by Martin Enqvist
2. Quantitative Feedback Design of Linear and Nonlinear Control Systems by Oded Yaniv
3. Analysis, Control and Optimal Operations in Hybrid Power Systems: Advanced Techniques and Applications for Linear and Nonlinear Systems
Hope this helps. ....
-Tejas
Anything that does not satisfy linear i.e. order 1 relation between variables are considered to be nonlinear.
One example of linear can be ax+by+cz=d (this linear equation in 3 variables). Note how all power of x,y, z are one. Anything else is nonlinear equation in x,y and z. You can extend this idea to any number of variables now.
Hi Mr. Chand,
Thanks for your examples.
P = V2/R is a nonlinear algebraic expression for the power dissipated in a resistor, while
P = V·I·cos(θ) is a nonlinear algebraic expression for the reactive power in an AC power system.
However, I'm slightly confused. Are you implying that the power system is described by these two nonlinear algebraic equations?
In your original question, you asked about the method to identify whether a system is linear or nonlinear. Naturally, it is reasonable to presume that you asked about the "systems" that are related to your field of expertise. The power system model is generally governed by a set of differential equations. Could you provide that, please? It will be clear once you show us that.
A system can be linear, but its solution is nonlinear. For example:
a linear system is given by
dx/dt = − 2·x(t); x(0) = 3
and the solution is
x(t) = 3·e−2·t
consider a SISO system
x1d=Ipv/C-u(x2/C)
x2d=-x3/L+u(x1+x3/L)
x3d=x2/C-x3/RC-u(x2/C)
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