Analytic calculations for piezoelectric materials

[billybomb87]

Lets assume that all properties of a piece of piezoelectrical material are known, how should the analytical calculations be performed if the goal is to convert a vibration into electrical energy? What I'm looking for is the theoretical output voltage one can achieve for a known vibration.

To simplify, let's say that the magnitude of the vibrations are known (i.e. how much the vibrations displces the PZT from its equilibrium).

Any tips on links or articles are more than welcome!

 

[StrykerTECH]

Here's a nice case study on piezoelectric material for power generation using bicycle vibration. This article provides the mathematical modeling that relates piezoelectric displacement with electrical energy.

 

[OldEngr63]

StrykerTECH, where is the study you spoke about? I did not find it.

 

[StrykerTECH]

Oh thanks, I forgot to hit the attach button.

 

[alphy]

I would approach this problem by first understanding the fundamental principles of piezoelectric materials. Piezoelectric materials have a unique property where they can convert mechanical energy into electrical energy, and vice versa, due to their crystal structure. This phenomenon is known as the piezoelectric effect.

To calculate the theoretical output voltage, we need to consider the known properties of the piezoelectric material, such as its piezoelectric coefficient, mechanical properties, and dimensions. The piezoelectric coefficient is a measure of the material's ability to convert mechanical energy into electrical energy. It is typically represented by the symbol d and has units of coulombs per newton (C/N).

Next, we need to consider the magnitude of the vibrations and how it affects the displacement of the piezoelectric material from its equilibrium position. This displacement is directly proportional to the output voltage that can be generated. Therefore, we can use the formula V = dF, where V is the output voltage, d is the piezoelectric coefficient, and F is the force applied to the material (in this case, the force of the vibrations).

It is also essential to consider the frequency of the vibrations, as it can affect the output voltage. Higher frequencies generally result in a higher output voltage, but this also depends on the material's properties.

In terms of resources, there are many articles and research papers available on piezoelectric materials and their applications. I would recommend starting with a basic understanding of the piezoelectric effect and then delving into more specific research on the material you are interested in. Additionally, there are some online calculators and tools available that can help with the analytical calculations for piezoelectric materials.

Overall, to calculate the theoretical output voltage for a known vibration, we need to understand the fundamental properties of the piezoelectric material and use the appropriate formulas to determine the voltage based on the force and frequency of the vibrations.