Printing System Models - Control of Color Imaging Systems: Analysis and Design - page 575

Solid area development

1. 2

1

5%
7%
9%
11%
13%
15%

0. 8

0. 6

0. 4

0. 2

0

-200 -100 0 100 200 300 400 500

V dev (V)

FIGURE 10.20 Example of solid area development curves with respect to development
voltage for different TC.

Toner supply limit

V d0

V dev (volts)

FIGURE 10.21 Example of the complete solid area development curve (a schematic view).

(Equation 10.30) does not predict the curve well at low development voltages. The
nonlinear developability characteristic is also prevalent near the toner supply
limits, as shown schematically in Figure 10.21. To improve the predictability,
additional physical, electrical, and material parameters should be included in the
DMA expression. Analytical forms of those expressions are very complicated and
can lead to increasing dif culty in designing controllers. Hence, in such cases, one

can resort to experimentally validated phenomenological expressions for character-
izing the developability.
V d0 represents the voltage at which the DMA vanishes. One such useful phe-
nomenological model of the DMA, D, is described by the following equation: