HP Forums
(TI-59) Wind Flow … Wake … Large … Turbines - Printable Version

+- HP Forums (https://www.hpmuseum.org/forum)
+-- Forum: Not HP Calculators (/forum-7.html)
+--- Forum: Not remotely HP Calculators (/forum-9.html)
+--- Thread: (TI-59) Wind Flow … Wake … Large … Turbines (/thread-20658.html)



(TI-59) Wind Flow … Wake … Large … Turbines - SlideRule - 10-17-2023 12:10 PM

An excerpt from Wind Flow Characteristics in the Wakes of Large Wind Turbines, Volume I-Analytical Model Development, DOE/NASA, SEP-1981, 220 pages

                                      FOREWARD
    The computer program of this report is considered an initial calculation procedure for the wake development of wind turbines because additional expansions and refinements are possible to include additional methods for calculating the effects of atmospheric turbulence, non-equal vertical and lateral wake growth rates, and power recovery factor based on real turbine power characteristics.

                                      1.0  SUMMARY
    The mathematics of the wake model was written in a FORTRAN computer program. The FORTRAN computer program was implemented on a PDP-10 computer using the DISPLA graphics package for graphical presentation of results. In addition to the computer program, a version of the wake program was formulated for the TI-59 programmable calculator. The calculator version of the wake program is presented in an appendix.

                                      Appendix C.

            Wake Calculations on the TI-59 Calculator

    This appendix contains a description of a version of the wake model for the Texas Instruments TI-59 programmable calculator. A Texas Instruments PC-100C print cradle is used with the calculator. Mathematically, the model is identical to the model presented in this report and implemented as a FORTRAN computer program. There are some limitations associated with the calculator version of the model. First, no plots are produced. All output is in numerical form and printed on the PC-100C printer. Second, all units of length are normalized by the rotor radius, and all units of wind speed are normalized by the free stream wind speed. There are no options for output in physical units. Third, atmospheric turbulence must be input as the standard deviation of wind direction. There is no option for input as a Pasquill class.
    There are two programs described in this appendix. The first program calculates values of downwind distance, x, wake radius, r2, normalized wind speed deficit at the wake center, ∆u , normalized wind speed at the wake center, u, and turbine power factor, P. The second program generates numbers for wind speed profiles for Region III.
    It is assumed that the user of these programs is familiar with the TI-59 programmable calculator and is reasonably proficient in programming the calculator. The TI-59 calculator was chosen because it is widely used in scientific institutions. The wake program will not fit on the TI-58 calculator. The program for wind speed profiles will fit on the TI-58. Program listings are given on the following pages.

                                      WAKE Program
{pages 177 - 189}

                                      Wind Speed Profiles
{pages 190 - 195}


FULLY DOCUMENTED ! !

Best!
SlideRule