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Optimization<br />

Scaling Design Variables<br />

* LCR Parallel Network<br />

VIN 1 0 AC 10<br />

R2 1 2 50<br />

R3 2 3 50K<br />

R5 3 0 50<br />

L1 2 3 100U<br />

C4 2 3 1N<br />

VIN2 a 0 AC 10<br />

RA A B 50<br />

RB B C 50K<br />

RC C 0 50<br />

LA B C 100U<br />

CA B C 1N<br />

.PARAMOPT E(C4,C)=(1N,1N,20N)<br />

.CORREL EXPR E(CA,C)=’1.2* E(C4,C)’<br />

Note<br />

The meaning of .CORREL EXPR is completely different to .CORREL in a Monte Carlo<br />

analysis.<br />

See Also<br />

• .CORREL EXPR in the Eldo Reference Manual<br />

• .PARAMOPT in the Eldo Reference Manual<br />

Related Topics<br />

Discretized Design Variables<br />

Specifying Design Variables<br />

Scaling Design Variables<br />

Scaling Design Variables<br />

This topic considers the effect of widely disparate variable scales on the algorithms and how to<br />

deal with it. For example, you may have a minimization problem in which the first design<br />

variable x (1) is in the range [10 8 , 10 9 ] Hz and the second x (2) in the range [10 −7 , 10 −6 ] seconds.<br />

These ranges are referred to as the scales of the respective variables.<br />

Scaling will affect algorithms when calculating the difference between iterates (the successive<br />

values of design variables taken during optimization). In the above example the second variable<br />

(time) is virtually ignored in any calculation.<br />

The Eldo optimizer SQP method rescales the variables used in the optimization - that is,<br />

changes their units. For example, if the units of x (1) are changed to gigahertz (GHz) and the<br />

units of x (2) are changed to microseconds (μs), then both variables have the range [0.1, 1] and<br />

Eldo® User's Manual, 15.3 599

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