Saturday, October 03, 2009

Switching Operation

Because of their unipolar nature, the power MOSFET can switch at very high speed. Indeed, there is no need to remove minority carriers as with bipolar devices.

The only intrinsic limitation in commutation speed is due to the internal capacitances of the MOSFET (see figure 4). These capacitances must be charged or discharged when the transistor switches. This can be a relatively slow process because the current that flows through the gate capacitances is limited by the external driver circuit. This circuit will actually dictate the commutation speed of the transistor (assuming the power circuit has sufficiently low inductance).

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Capacitances

In the MOSFETs datasheets, the capacitances are often named Ciss (input capacitance, drain and source terminal shorted), Coss (output capacitance, gate and source shorted), and Crss (reverse capacitance, gate and source shorted). The relationship between these capacitances and those described below is:

\begin{matrix} C_{iss} & = & C_{GS}+C_{GD}\\ C_{oss} & = & C_{GD}+C_{DS}\\ C_{rss} & = & C_{GD} \end{matrix}

Where CGS, CGD and CDS are respectively the gate-to-source, gate-to-drain and drain-to-source capacitances (see below). Manufacturers prefer to quote Ciss, Coss and Crss because they can be directly measured on the transistor. However, as CGS, CGD and CDS are closer to the physical meaning, they will be used in the remaining of this article.

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Gate to source capacitance

The CGS capacitance is constituted by the parallel connection of CoxN+, CoxP and Coxm (see figure 4). As the N+ and P regions are highly doped, the two former capacitances can be considered as constant. Coxm is the capacitance between the (polysilicon) gate and the (metal) source electrode, so it is also constant. Therefore, it is common practice to consider CGSas a constant capacitance, i.e its value does not depend on the transistor state.

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Gate to drain capacitance

The CGD capacitance can be seen as the connection in series of two elementary capacitances. The first one is the oxide capacitance (CoxD), constituted by the gate electrode, the silicon dioxide and the top of the N epitaxial layer. It has a constant value. The second capacitance (CCDj) is caused by the extension of the space-charge zone when the MOSFET is in off-state (see the section Blocking Voltage). Therefore, it is dependent upon the drain to source voltage. From this, the value of CGD is:

C_{GD}=\frac{C_{oxD}\times C_{GDj}\left(V_{GD}\right)}{C_{oxD}+ C_{GDj}\left(V_{GD}\right)}

The width of the space-charge region is given by [1]

w_{GDj}=\sqrt{\frac{2\epsilon_{Si}V_{GD}}{qN}}

where εSi is the permittivity of the Silicon, q is the electron charge, and N is the doping level. The value of CGDj can be approximated using the expression of the plane capacitor:

C_{GDj}=A_{GD}\frac{\epsilon_{Si}}{w_{GDj}}

Where AGD is the surface area of the gate-drain overlap. Therefore, it comes:

C_{GDj}\left(V_{GD}\right)=A_{GD}\sqrt{\frac{q\epsilon_{Si}N}{2V_{GD}}}

It can be seen that CGDj (and thus CGD) is a capacitance which value is dependent upon the gate to drain voltage. As this voltage increases, the capacitance decreases. When the MOSFET is in on-state, CGDj is shunted, so the gate to drain capacitance remains equal to CoxD, a constant value.

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Drain to source capacitance

As the source metallization overlaps the P-wells (see figure 1), the drain and source terminals are separated by a P-N junction. Therefore, CDS is the junction capacitance. This is a non-linear capacitance, and its value can be calculated using the same equation as for CGDj.

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