Environmental Engineering Reference
In-Depth Information
the presence of clock jitter is computed efficiently. The chapter concludes
in Section 8.
1. Sampled-Data Simulation of Periodically
Switched Linear Circuits
Periodically switched linear circuits can be analyzed using LMS-PC
algorithms introduced in Chapter 4. The inconsistent initial conditions
encountered at switching instants can also be handled using Backward-
Euler based methods presented in Chapter 4. A major drawback of these
algorithms is their limited accuracy. High accuracy can be obtained at
the cost of small step size, subsequently long simulation time. In this
section, we introduce an accurate and computationally efficient method
for time domain analysis of periodically switched linear circuits. The
essential part of this section was originally reported in [18].
Consider a periodically switched linear circuit with the input
The circuit in phase is formulated using modified nodal analysis
where is the network variable vector in phase and are
the conductance and capacitance matrices in phase respectively, and
is a constant vector specifying the nodes to which the input
is
connected in phase
Laplace transform of (6.1) gives
where and is the Laplace transform of The
time-domain response is obtained from the inverse Laplace transform of
(6.2)
where
Search WWH ::
Custom Search