Spiral Inductor Design
Note that typical practical integrated spiral inductors are built with w s. The first approximation is based on a modification of an expression developed by wheeler.

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Spiral inductor design. Video how to design a coil for specific inductance. Another importance part of the spiral inductor is the substrate. Of the spiral inductor and thereby reduce loss the connection of multi metal layer spirals in series to reduce the area of the inductors low loss substrates to reduce losses in the substrate at high frequency and thick oxide or floating inductors to isolate the inductor from the lossy substrate.
The quality factor of spiral inductor depends on the materials that constructed from substrate. In this video i explain the formula for induction in detail as well as give an example and talk about other factors like coil capacitance frequency and coupling. Fundamentals of power electronics chapter 14.
Design square hexagon octagon and circular shape planar spiral coil pcb inductor and use it in your next great projec. The second is derived from electromagnetic principles by approximating the sides of the spirals as current sheets. Inductor design2 141 filter inductor design constraints pcu irms 2 r objective.
Single layer planar spiral coil inductor calculator. The program automatically set inner diameter value for this ratio. The solution is to find the number of turns and all dimensions of the square spiral inductor.
The main thing is the physical length of the copper trace. Design inductor having a given inductance l which carries worst case current imax without saturating and which has a given winding resistance r or equivalently exhibits a worst case copper loss of. And the third is a monomial expression derived from fitting to a large database of inductors and the exact inductance values.
The spiral inductor lumped element model can have many capacitor and resistor elements to account for all the parasitics that make it less and less ideal as you move up in frequency. Spiral inductors are often used in mic mmic and rfic design particularly below 18 ghz. Burghartz fellow ieee and behzad rejaei invited paper abstract this review of design principles for implementation of a spiral inductor in a silicon integrated circuit fabrication process summarizes prior art in this field.
Inductors can be rectangular or round so long as you know how to model them. If you have access to a vna vector network analyzer then what you could do is take a length of wire say 20awg and twist it into a spiral form. Coil design and inductance calculator.
The rectangle or spiral form just lends itself to getting a longer copper trace in a small area. Project is to design a 10nh square spiral inductor with high quality factor q. For highest q factor the optimum ratio dd 04 for circle coil and optimum dd 0362 for square coil.
On the design of rf spiral inductors on silicon joachim n.

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