Pade Delay - MapleSim Help

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Pade Delay

Delays the input signal by a fixed delay time, computed by Pade approximation

 

Description

Connections

Parameters

See Also

Description

The Pade Delay component delays the input signal, u, by a given time instant, delayTime. Before the first time delay is reached in the simulation, the output value of FixedDelay, y, is equal to the value of input, u, at the starting time. The difference between the Fixed Delay component and the Pade Delay component is that the Pade Delay component uses Pade approximation to compute the delay. The equation of this component is

ys=b1sm+b2sm1+...+bm+1a1sn+a2sn1+...+an+1us

where the coefficients b[:] and a[:] are calculated such that the coefficients of the Taylor expansion of the delay ⅇTs,at s = 0, are identical up to the order n+m.

The main advantage of this approach is that the delay is approximated by a linear differential equation system, which is continuous and continuously differentiable.

The Signal Size parameter allows the block to operate on a vector of signals rather than a single signal.

Connections

Name

Description

u

Real input signal

y

Real output signal

Parameters

Symbol

Default

Units

Description

Modelica ID

Delay Time

1

s

Delay time of the output with respect to the input signal

delayTime

n

1

-

Order of the Pade approximation

n

m

n

-

Order of the numerator

m

Signal Size

1

-

Dimension of input and output signals

signalSize

See Also

Discontinuous Signal Blocks

Signal Blocks Overview

The components described in this topic are from the Modelica Standard Library. To view the original documentation, which includes author and copyright information, click here.

 

 

 

 

 


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