EcosimPro

EcosimPro is a simulation tool developed by Empresarios Agrupados A.I.E for modelling simple and complex physical processes that can be expressed in terms of Differential algebraic equations or Ordinary differential equations and Discrete event simulation. The application runs on the various Microsoft Windows platforms and uses its own graphic environment for model design. The modelling of physical components is based on the EcosimPro language (EL) which is very similar to other conventional Object-oriented programming languages but is powerful enough to model continuous and discrete processes. This tool employs a set of libraries containing various types of components (mechanical, electrical, pneumatic, hydraulic, etc.) that can be reused to model any type of system. It is used within ESA for propulsion systems analysis and is the recommended ESA analysis tool for ECLS systems.

EcosimPro is a simulation tool developed by Empresarios Agrupados A.I.E for modelling simple and complex physical processes that can be expressed in terms of Differential algebraic equations or Ordinary differential equations and Discrete event simulation. The application runs on the various Microsoft Windows platforms and uses its own graphic environment for model design. The modelling of physical components is based on the EcosimPro language (EL) which is very similar to other conventional Object-oriented programming languages but is powerful enough to model continuous and discrete processes. This tool employs a set of libraries containing various types of components (mechanical, electrical, pneumatic, hydraulic, etc.) that can be reused to model any type of system. It is used within ESA for propulsion systems analysis and is the recommended ESA analysis tool for ECLS systems. \frac{dy}{dt} = (x - y ) / tau which is equivalent to y' = (x - y ) / tau where x and y have a time dependence that will be defined in the experiment. Tau is datum provided given by the user; we will use a value of 0.6 seconds. This equation introduces a delay in the x variable with respect to y with value tau. To simulate this equation we will create an EcosimPro component with the equation in it. The component to be simulated in EL is like thus: COMPONENT equation_test DATA REAL tau = 0.6 "delay time (seconds)" DECLS REAL x, y CONTINUOUS y' = (x - y) / tau END COMPONENT Pendulum One example of applied calculus could be the movement of a perfect pendulum (no friction taken into account). We would have the following data: the force of gravity ‘g’; the length of the pendulum ‘L’; and the pendulum's mass ‘M’. As variables to be calculated we would have: the Cartesian position at each moment in time of the pendulum ‘x’ and ‘y’ and the tension on the wire of the pendulum ‘T’. The equations that define the model would be: - Projecting the length of the cable on the Cartesian axes and applying Pythagoras’ theorem we get: x^2 + y^2 = L^2 By decomposing force in Cartesians we get F_x = -T \frac{x}{L} and F_y = -T \frac{y}{L}-M\;g To obtain the differential equations we can convert: F_x = M\;a_x = M\;\ddot{x} and F_y = M\;a_y = M\;\ddot{y} (note: \dot{x} is the first derivative of the position and equals the speed. \ddot{x} is the second derivative of the position and equals the acceleration) This example can be found in the DEFAULT_LIB library as “pendulum.el”: COMPONENT pendulum "Pendulum example" DATA REAL g = 9.806 "Gravity (m/s^2)" REAL L = 1. "Pendulum longitude (m)" REAL M = 1. "Pendulum mass (kg)" DECLS REAL x "Pendulum X position (m)" REAL y "Pendulum Y position (m)" REAL T "Pendulum wire tension force (N)" CONTINUOUS x**2 + y**2 = L**2 M * x = - T * (x / L) M * y = - T * (y / L) - M * g END COMPONENT The last two equations respectively express the accelerations, x’’ and y’’, on the X and Y axes

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