<p>Microstrip Transmission Lines (MTL) are crucial components in various electronic and communication systems because of their streamlined design, affordability, and wide frequency range. However, achieving precise control over their characteristic impedance (CI) is essential for optimal performance. This article utilises the Taguchi method (TM) to optimise the CI of MTL by systematically evaluating seven input control factors: strip width, strip thickness, dielectric height, ground plane thickness, frequency, dielectric conductivity, and conductor conductivity. Each factor is assessed at three different levels to find the best conditions for impedance regulation. Our findings reveal that strip width and dielectric height significantly influence the CI. Validation through analysis of variance (ANOVA) confirms the effectiveness of the TM. To demonstrate versatility across different application requirements, this work targets multiple CI of MTL values of (55 <InlineEquation ID="IEq1"> <EquationSource Format="TEX">$\Omega $</EquationSource> <EquationSource Format="MATHML"><math> <mi mathvariant="normal">Ω</mi> </math></EquationSource> </InlineEquation> and 70 <InlineEquation ID="IEq2"> <EquationSource Format="TEX">$\Omega $</EquationSource> <EquationSource Format="MATHML"><math> <mi mathvariant="normal">Ω</mi> </math></EquationSource> </InlineEquation>). As a practical application, MTL with a CI of 70 <InlineEquation ID="IEq3"> <EquationSource Format="TEX">$\Omega $</EquationSource> <EquationSource Format="MATHML"><math> <mi mathvariant="normal">Ω</mi> </math></EquationSource> </InlineEquation> were developed and analyzed through simulations in COMSOL Multiphysics, achieving a capacitance of <InlineEquation ID="IEq4"> <EquationSource Format="TEX">$6.3829 \times 10^{-11}$</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mn>6.3829</mn> <mo>×</mo> <msup> <mn>10</mn> <mrow> <mo>-</mo> <mn>11</mn> </mrow> </msup> </mrow> </math></EquationSource> </InlineEquation> F/m, resistance of 213.22 <InlineEquation ID="IEq5"> <EquationSource Format="TEX">$\Omega $</EquationSource> <EquationSource Format="MATHML"><math> <mi mathvariant="normal">Ω</mi> </math></EquationSource> </InlineEquation>/m, propagation constant of <InlineEquation ID="IEq6"> <EquationSource Format="TEX">$(1.5230 + 505.33i)$</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mo stretchy="false">(</mo> <mn>1.5230</mn> <mo>+</mo> <mn>505.33</mn> <mi>i</mi> <mo stretchy="false">)</mo> </mrow> </math></EquationSource> </InlineEquation> m<InlineEquation ID="IEq7"> <EquationSource Format="TEX">$^{-1}$</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mrow /> <mrow> <mo>-</mo> <mn>1</mn> </mrow> </mmultiscripts> </math></EquationSource> </InlineEquation>, shunt conductance of <InlineEquation ID="IEq8"> <EquationSource Format="TEX">$2.5687 \times 10^{-17}$</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mn>2.5687</mn> <mo>×</mo> <msup> <mn>10</mn> <mrow> <mo>-</mo> <mn>17</mn> </mrow> </msup> </mrow> </math></EquationSource> </InlineEquation> S/m, inductance of <InlineEquation ID="IEq9"> <EquationSource Format="TEX">$3.1276 \times 10^{-7}$</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mn>3.1276</mn> <mo>×</mo> <msup> <mn>10</mn> <mrow> <mo>-</mo> <mn>7</mn> </mrow> </msup> </mrow> </math></EquationSource> </InlineEquation> H/m, and CI of <InlineEquation ID="IEq10"> <EquationSource Format="TEX">$(70.000 - 0.21097i)$</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mo stretchy="false">(</mo> <mn>70.000</mn> <mo>-</mo> <mn>0.21097</mn> <mi>i</mi> <mo stretchy="false">)</mo> </mrow> </math></EquationSource> </InlineEquation> <InlineEquation ID="IEq11"> <EquationSource Format="TEX">$\Omega $</EquationSource> <EquationSource Format="MATHML"><math> <mi mathvariant="normal">Ω</mi> </math></EquationSource> </InlineEquation>. This study provides a systematic approach for designing MTL customised for specific uses, removing the reliance on extensive trial-and-error approaches.</p>

Enhancing impedance control in microstrip lines using the Taguchi approach

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2025年8月29日

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Mohd H. S. Alrashdan,
Zouhair Al-qudah,
Mohammad Al Bataineh

摘要

Microstrip Transmission Lines (MTL) are crucial components in various electronic and communication systems because of their streamlined design, affordability, and wide frequency range. However, achieving precise control over their characteristic impedance (CI) is essential for optimal performance. This article utilises the Taguchi method (TM) to optimise the CI of MTL by systematically evaluating seven input control factors: strip width, strip thickness, dielectric height, ground plane thickness, frequency, dielectric conductivity, and conductor conductivity. Each factor is assessed at three different levels to find the best conditions for impedance regulation. Our findings reveal that strip width and dielectric height significantly influence the CI. Validation through analysis of variance (ANOVA) confirms the effectiveness of the TM. To demonstrate versatility across different application requirements, this work targets multiple CI of MTL values of (55 $\Omega $ $Ω$ and 70 $\Omega $ $Ω$ ). As a practical application, MTL with a CI of 70 $\Omega $ $Ω$ were developed and analyzed through simulations in COMSOL Multiphysics, achieving a capacitance of $6.3829 \times 10^{-11}$ $6.3829 \times 10^{- 11}$ F/m, resistance of 213.22 $\Omega $ $Ω$ /m, propagation constant of $(1.5230 + 505.33i)$ $(1.5230 + 505.33 i)$ m $^{-1}$ $^{- 1}$ , shunt conductance of $2.5687 \times 10^{-17}$ $2.5687 \times 10^{- 17}$ S/m, inductance of $3.1276 \times 10^{-7}$ $3.1276 \times 10^{- 7}$ H/m, and CI of $(70.000 - 0.21097i)$ $(70.000 - 0.21097 i)$ $\Omega $ $Ω$ . This study provides a systematic approach for designing MTL customised for specific uses, removing the reliance on extensive trial-and-error approaches.