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Voltage-Controlled Voltage Source, LaPlace

Voltage-Controlled Voltage Source, LaPlace

VCVS LaPlace Netlist Format

The voltage-controlled voltage source with LaPlace transfer function has the following format:

Exxxx out+ out- LAPLACE in+ in- a0[,] ... aN / b0[,] ...bD

[SCALE=val] [TC1=val] [TC2=val]

out+ is the positive node and out- is the negative node of the current source. The entry LAPLACE selects the E element LaPlace transfer function type. in+ and in- are the positive and negative nodes for the control voltage. The division symbol (/) in the instance line is required syntax.

Note

Comma separators between the a and b entries are optional. Spaces may be used as separators instead of commas.

The function of the device is expressed as:

V(out+, out-) = SCALE ´ H(s) ´ V(in+, in-)

The transfer function H(s) is the ratio of two polynomials in the complex variable s.

H(s) is specified by giving the coefficients of the transfer function polynomials:

The coefficients (a₀ ... a_N) specify the numerator polynomial of the ratio. The coefficients (b₀ ... b_D specify the denominator polynomial. The subscripts N and D represent the order of the numerator and denominator respectively. The first coefficients in both numerator and denominator (a₀ and b₀) are constants, which must be specified even if they are zero. Thus, leading zeros are significant. In addition, intermediate zero-valued coefficients must be explicitly supplied in order to have the non-zero coefficients applied to the correct powers of s. Trailing zeros are not significant, and are automatically removed.

For example, to specify the following transfer function (where coefficient a₁=0):

The netlist would contain the following statement:

Eex1 out gnd LAPLACE in gnd 1, 0, 2 / 1, 1, 3

Note

The order of the numerator (N) may not exceed the order of the denominator (D), otherwise Nexxim will post an error message and disregard the device.

**LaPlace VCVS Instance Parameters**
Parameter	Description	Unit	Default
a0 ... aN	Coefficients of the numerator polynomial (coefficient syntax)	None	None
b0 ... bD	Coefficients of the denominator polynomial (coefficient syntax)	None	None
SCALE	Scale factor for voltage	None	1.0
TC1	Linear (1st-order) temperature coefficient	°K^-1	0.0
TC2	Quadratic (2nd-order) temperature coefficient	°K^-2	0.0

VCVS LaPlace Netlist Example

E21 21 0 LAPLACE 31 0 0.1 2.2 -.3 / 0.25 -2.1 0.33 -.4

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