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Voltage-Controlled Voltage Source, S-Domain

Voltage-Controlled Voltage Source, S-Domain

S-Domain VCVS Netlist Format

The S-domain voltage-controlled voltage source (SVCVS) uses the following netlist format:

Exxxx n+ n- SVCVS c+ c- [GAIN=gain] [TC1=val] [TC2=val]

NUMER=[a0 a1 ...] DENOM=[b0 b1 ...]

n+ is the positive node and n- is the negative node of the source. The entry SVCVS is required to identify the SVCVS element type. c+ and c- are the positive and negative nodes for the control voltage.

The element is specified using a transfer function given as the ratio of two polynomials in the complex variable s. The bold brackets for the NUMER and DENOM entries are required.

The function of the device is expressed as:

V(n+, n-) = GAIN ´ H(s) ´ V(c+, c-)

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

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. The ratio of a₀/b₀ must be unity (when both a₀¹0 and b₀¹0). If the ratio is not unity, the numerator coefficients will be scaled to make it unity, before the GAIN is applied.

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

The netlist would be:

E21 out gnd SVCVS out gnd NUMER=[1 0 2] DENOM=[1 1 3]

**S-Domain VCVS Instance Parameters**
Parameter	Description	Unit	Default
a0 ... aN	Coefficients of the numerator polynomial	None	None
b0 ... bD	Coefficients of the denominator polynomial (coefficient syntax)	None	None
GAIN	DC gain multiplier	None	1.0
TC1	Linear (1st-order) temperature coefficient	°K^-1	0.0
TC2	Quadratic (2nd-order) temperature coefficient	°K^-2	0.0

S-Domain VCVS Netlist Example

E1 2 0 SVCVS 1 0 GAIN=2 NUMER=[0 0.5 1] DENOM=[1 2 3]

This example implements the transfer function:

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