Test of Formulas

README.md

@@ -38,8 +38,9 @@ F_{A} = a \cdot (M_{w} \cdot \lambda + M_{z})
 ```
 ### DriCy_Selo.aerodynamic_resistance(vehicle, v)
 This function calculates the aerodynamic resistance acording to:
-
-F_{L} = c_{w} \\cdot A_{front} \\cdot \\frac{p_{air}}{2} \\cdot v^2
+```math
+F_{L} = c_{w} \cdot A_{front} \cdot \frac{p_{air}}{2} \cdot v^2
+```
 ### DriCy_Selo.calc_PMSM(vehicle, T, n, verbose=False)
 Calculation of the inverter set point for a given vehicle, tourque and speed of a permanent magnet synchronos motor (PMSM).
 ToDo: speed up -> add complete numerical calculation
@@ -72,25 +73,28 @@ decimal separator: dot[.]
 
 ### DriCy_Selo.read_drive_cycle(file, vehicle)
 This fuction reads the drive cycle of the cycle folder and calculates acceloration, total force, power, rouns per second, torque…:
+```math
+\omega_{1/s} = \frac{v_{\mathrm{m/s}}}{wheel_{radius} \cdot 2 \pi} \cdot  i_{g}
 
-\\omega_{1/s} = \\frac{v_{\\mathrm{m/s}}}{wheel_{radius} \\cdot 2 \\pi} \\cdot  i_{g}
-
-T = \\frac{Force \\cdot wheel_{radius}}{i_{g}} \\cdot \\eta_{i_{g}} \\;   \\mathrm{for \\; M => 0}
+T = \frac{Force \cdot wheel_{radius}}{i_{g}} \cdot \eta_{i_{g}} \\;   \mathrm{for M => 0}
 
-T = \\frac{Force \\cdot wheel_{radius}}{i_{g}} \\cdot \\frac{1}{\\eta_{i_{g}}} \\;   \\mathrm{for \\; M < 0}
+T = \frac{Force \cdot wheel_{radius}}{i_{g}} \cdot \frac{1}{\eta_{i_{g}}} \;   \mathrm{for  M < 0}
+```
 ### DriCy_Selo.read_toml(file)
 This function loads the data of the vehicle.
 
 
 ### DriCy_Selo.rolling_fiction(vehicle, v, alpha)
 This function calculates the rolling friction acording to Mitschke, Wallentowitz 2014 - Dynamik der Kraftfahzeuge p. 14.:
-
-F_{R} = (M_{w} + M_{z}) \\cdot g \\cdot cos(\\alpha) \\cdot \\left( f_{R0} + f_{R1} \\cdot \\frac{v}{100 km/h} + f_{R4} \\cdot  {\\left(\\frac{v}{100 km/h}\\right)}^4\\right)
+```math
+F_{R} = (M_{w} + M_{z}) \cdot g \cdot cos(\alpha) \cdot \left( f_{R0} + f_{R1} \cdot \\frac{v}{100 km/h} + f_{R4} \cdot  {\left(\frac{v}{100 km/h}\right)}^4\right)
+```
 ### DriCy_Selo.slope_resistance(vehicle, alpha)
 This function calculates the slope resistance acording to:
 
 F_{S} = sin (\\alpha) \\cdot (M_{w} + M_{z}) \\cdot g
 ### DriCy_Selo.total_force(vehicle, a, v, alpha)
 This function calculates the total force for a vehicle in one operation point:
-
+```math
 F_{Total} = F_{S} + F_{A} + F_{L} + F_{R}
+```