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where Em;max is the maximum kinetic energy per unit mass. If the material is isotropic, the maximum tensile strength is independent of directions and may be denoted by smax. By calculating the internal forces in the ywheel and considering a given ywheel shape symmetrical around the axis of rotation, a resulting shape factor K may be calculated as indicated in Table 11.7. Expression (11.15) can be interpreted as being a given maximum acceptable stress smax for a given maximum energy storage density (i.e., it is not dependent on rotational speed, and it is maximized for light materials and high stress-based design). For a given geometry, the limiting energy density (energy per unit mass) of a ywheel is proportional to the ratio of material strength to weight density (speci c strength). 11.5.2 Applications of Flywheels

Scheme 6-17

N If the mode of calculation in a workbook changes, and you save the file,

>>>map((lambda a:a+3),[12,13,14,15,16])

PIVOT TABLE FEATURE probably represents the most technologically sophisticated component in Excel. This chapter may seem a bit out of place in this book. After all, a pivot table does its job without using formulas. That s exactly the point. If you haven t yet discovered the power of pivot tables, this chapter will demonstrate how using a pivot table can serve as an excellent alternative to creating many complex formulas.

where:

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There should be no discernable trend in the residual plot of any of the independent variables against the errors, as shown in Fig. 4.21. The analysis of residuals is helpful in determining whether there are any clear violations in the assumptions. An analysis of the residual plots can also be helpful in identifying observations that do not t the model, that is, those observations with unusually high positive or negative residual values. These outlier observations may be attributable to errors in the data and should be examined in more detail to determine whether to remove them.

Simple Accumulation Problems . . . . . . . . . . . . . . . . . . . . . . . . . . 297 Complex Accumulation Problems . . . . . . . . . . . . . . . . . . . . . . . . 301 Simple Discounting Problems . . . . . . . . . . . . . . . . . . . . . . . . . . . 303

Fundamental research (especially in the production of thin- lm solar photovoltaic devices, hydrogen from sun-mirrored heat, and new forms of batteries) is occurring in many countries, and these activities are steadily reducing the cost of renewable energy systems. However, there are still issues to resolve before such systems gain a bigger portion of the electric energy marketplace. Such systems must lower the overall cost of delivered energy, gain acceptance by a conservative industry, and convince the industry s customers that renewable energy systems are safe, reliable alternatives to conventional grid-supplied power. Another issue is that although the primary energy supply may be free, the cost of using wind and solar energy is not. This is because structures and energy collectors must be built and energy storage must be provided. Any initiative that increases the energy collected or stored will lead to a reduction in the price of energy delivered from a complete system [5,8]. Balanced and optimized are terms frequently used to indicate that a system is designed to size the renewable, storage, and fuel-based components to deliver minimal all-of-life costs in a speci c site and for a speci c customer loading pattern. Such a system operates to maximize renewable energy capture and to minimize all-of-life costs of components. 1.7.3 Sustainability

FIGURE 9.4 THE UPPER CHART SHOWS THE BASING ACTIVITY AND BULLISH BREAKOUT IN THE S&P GOLD MINING INDEX. THE BOTTOM CHART IS A RATIO OF GOLD STOCKS DIVIDED BY THE S&P 500 STOCK INDEX AND SHOWS GOLD OUTPERFORMING THE MARKET FROM THE SUMMER OF 1989. COLD SHARES REALLY BEGAN TO GLITTER IN NOVEMBER. S&P Cold Mining Index

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