Mathematical Models
Engineering
is a problem-solving activity.
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Engineers
use models; in electrical engineering
theory they are called circuit elements,
to represent devices that make up a
circuit or system.
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Modeling
is the process of representing the behavior
of a real system by a collection of
mathematical equations and binary logic.
Let
us now carefully define three major terminologies
we encounter in our unit:
- Mathematical
models
- Elements
- Electrical
circuits
1.
Mathematical models
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Are cause-effect structures that help
us understand complex physical systems
and the way they operate.
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Accept
inputs and process them with their
logic and equations to produce one
or more responses called outputs.
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We
must therefore analyze the relationships
between the system variables to obtain
the mathematical models.
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Also, we must differentiate between
the physical systems and their mathematical
models.
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Remember,
mathematical models are an approximation!
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Take the example of a circuit element,
such as a lamp. It may be represented
by a model of its behavior described
in terms of the terminal current through
the lamp and voltage across the lamp.
Let’s
now see how these elements are connected
with each other to form an electric circuit.
Electric
circuit is a closed loop consisting
of various types of circuit elements connected
by conductors.
Circuit
analysis is the process of determining
voltages across, or the current through
the elements of the circuit.
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