Looking for:
Wind turbine blockset in matlab simulink download |
Wind turbine blockset in matlab simulink download
Open access. Submitted: April 2nd, Published: September 26th, In the last years, Matlab-Simulink has become the most used software for modeling and simulation of dynamic systems.
It provides a powerful graphical interface for building and verifying new mathematical models as well as new control strategies particularly for non linear systems. The study of wind turbine systems generators are an example of such dynamic systems, containing subsystems wind turbine blockset in matlab simulink download different ranges of the time constants: wind, turbine, generator, power electronics, transformer and grid. There are two principle-connections of wind energy conversion.
The first one is connecting the wind-generator to grid at grid frequency. While connected to grid, grid supplies the reactive VAR required for the induction machines. Often, a DC-link is required to interface the wind-generator system with a certain control technique to the utility grid.
The second is connecting the wind-generator system to isolated load in remote areas. A wound rotor induction machine, used as a Doubly Fed Induction Generator DFIG wind turbines are nowadays becoming more widely used in wind power generation. The DFIG connected with back to back converter at the rotor terminals provide a very economic solution for variable speed application.
Three-phase alternative supply is fed directly to the stator in order to reduce the cost instead of feeding through converter and inverter.
For the control of these wind turbine blockset in matlab simulink download different techniques will be adopted. This method involves the wind turbine blockset in matlab simulink download of the wind turbine blockset in matlab simulink download into a synchronously rotating dq reference frame that is aligned with one of the fluxes. Also, we have chosen to develop the case where a conventional neural controller associated with a reference model, represented by a Fuzzy logic corrector, for the learning phase is used to control the generator speed.
An overview of Matlab Продолжить чтение, particularly the blocks concerned by the study of wind turbine generators based on Источник will be presented. SimPowerSystems DEMOS present good support and examples for the study of power systems and particularly the components of the wind generation energy systems.
These tools can help for modeling and simulating basic electrical circuits and detailed electrical power systems. These tools let you model the generation, transmission, distribution, and consumption of electrical power, as well as its conversion into mechanical power. SimPower Systems is well suited to the development of complex, self-contained power systems, such as those in automobiles, aircraft, manufacturing plants, and power utility applications. In this chapter, we will be focalized on the following sections to show how we can use these libraries to develop a model of electrical generation based wind systems in step by step.
Reference value of the torque given by a PI controller which parameters are adapted by a fuzzy logic inference system. Speed control bused a PI adapted by a Fuzzy logic inference system. Control of DFIG speed based on a fuzzy neural corrector. In order to analyze the dynamic behaviour of a wind turbine generation systems, прощения, windows media player visual effects download меня? blocksets exist in the Matlab Simulink environment.
The power scheme of the wind generation system can be divided into many blocs:. The wind turbine or a simulator based on electrical machines for the comportment of this turbine. The principal object is to convert the aerodynamic variables particularly wind power under variable wind speeds to the mechanical power. In this chapter, we have chosen to show the simulation of wind turbine associated with a doubly fed induction generator.
Structure of wind turbine coupled to DFIG. In this structure, two converters; the rotor-side converter and the grid-side converter, are Voltage-Sourced Converters that use forced-commutated power electronic devices IGBTs.
A coupling inductor L is used to connect the inverter to the grid. The three-phase rotor winding is connected to the rectifier by slip rings and brushes and the three-phase stator winding is directly connected to wind turbine blockset in matlab simulink download grid. The power captured by the wind смотрите подробнее is converted into electrical power by the induction generator and it is transmitted to the grid by the stator and the rotor windings.
The control system generates the pitch angle command and the voltage command signals for the rectifier and the inverter respectively in order to control the power of the wind turbine, the DC bus voltage and the reactive power or the voltage at the grid terminals. This model is based on the steady-state power characteristics of the turbine. In fact, to simulate the behavior of the wind turbine, the torque that it exerts wind turbine blockset in matlab simulink download the mechanical shaft must verify the relation:.
This equation, based on the modeling turbine characteristics, is represented as:. The torque reference corresponding to a level of wind turbine speed and generator speed is evaluated as represented by the following scheme. A second model of wind turbine behavior could be the use of a DC machine to generate the reference mechanical torque corresponding to the wind speed plan. A separately excited DC machine is used, in this case, with the control of the field terminals and the armature circuit connected to converters.
The inputs are respectively the rotor speed and electromagnetic torque of the generator. Estimation of reference torque general and detailed schemes. The reference field current is deduced from wind turbine blockset in matlab simulink download lockup table with rotor speed as entry. The mechanical torque deduced form a wind and rotor speeds permits to impose the armature current.
Second model of turbine based DC machine. For example, the wind turbine doubly fed induction generator is studied. The operating principle of the power flow is described as follows:. Generally, Pr is only a fraction of Ps the absolute value of slip is much lower than 1 and the sign of Pr is opposite to the slip sign. Pr is transmitted to or is taken out of DC bus capacitor. The control of grid converter permits to generate or absorb the power Pgc in order to keep the DC voltage constant.
In steady-state for a loss less converters, Pgc is equal to Pr. The converters have the capability of generating or absorbing reactive power and could be used to control the reactive power or the voltage at the grid terminals. The rotor-side converter is used to control the wind turbine output power and the voltage or reactive power measured at the grid terminals.
The grid-side converter is used to regulate the voltage of the DC bus capacitor. The power is controlled in order to follow a pre-defined power-speed characteristic. An example of such a characteristic showing also tracking characteristic represented by the ABCD curve, is illustrated in the following figure.
We can note that between points B and C, the tracking characteristic is the locus of the /27963.php power of the turbine maxima of the turbine power versus turbine speed curves. For the power control loop, the actual electrical output power, measured at the grid terminals of the wind turbine, is added to the total power losses mechanical and electrical and is compared with the reference wind turbine blockset in matlab simulink download obtained from the tracking characteristic.
A Proportional-Integral regulator is used and its output is the reference rotor current that must be injected in the rotor by the rotor converter. This is the current component that produces the electromagnetic torque Tem. The reactive power at grid terminals or the voltage is controlled by the reactive current flowing in the rotor converter.
When the wind turbine is operated in var regulation mode the reactive power at grid terminals is kept constant by a var regulator. The output of the voltage regulator or the var regulator is the reference d-axis current that must be injected in the rotor by the rotor converter. The same current regulator as for the power control is used to regulate the actual direct rotor current of positive-sequence current to its reference value.
The rotor side converter ensures a decoupled active and reactive stator power control, Ps and Wind turbine blockset in matlab simulink download, according to the reference torque delivered by the Maximum Power Point Tracking control MPPT. The grid side converter control the power flow exchange with the grid via the rotor, by maintaining the dc bus at a constant voltage level and by imposing the reactive power QL at zero. The pitch angle is kept constant at zero degree until the speed reaches point D speed of the tracking characteristic.
Beyond point D, the pitch angle is proportional to the speed deviation from point D speed. The control system is illustrated in the following figure. Pitch angle control. The doubly-fed induction generator phasor model is winner takes all sammy hagar download same as the wound rotor asynchronous machine see the Machines library with the following two points of difference:.
A trip input has been added. When this input is high, the induction generator is disconnected from the grid and from the rotor converter. The magnetization of wind turbine blockset in matlab simulink download generator can be achieved via the rotor circuit and not necessarily так)) telugu movie download sites for pc мысль the grid.
The DFIG is capable of producing reactive power that it is delivered through the grid-side converter. Usually, this converter operates under constant unity power factor and it is not involved in reactive power trading with the grid.
Also, the DFIG can be regulated in order to produce or consume a certain amount of reactive power. This way, the voltage control is achieved in cases of weak distribution grids.
The converter size is not determined according to the total power of the generator but according to the decided speed range of the machine and therefore the slip range.
The selected speed range is decided according to the economical optimization and the increased performance of the system. Wind turbine blockset in matlab simulink download to the model developed in Matlab Simulink and defining the different parameters of the induction machines DFIG in particularlythe DFIG equations can be resumed as follows:.
In most practical work, the DFIG will have a non-unity turns ratio, n witch must be included in the flux linkage equations.
Also, it will be useful to define the d- and q-axis magnetizing current. Including magnetizing currents and turns ratio, the flux linkage equations must be rewritten and finally the electrical model of the machine is schematised as follow case of d-axis seen from stator :. Electrical model in d-axis seen from stator. To control the torque and power factor of a doubly fed machine used in wind power generation system, a Direct Torque Control DTC method is adopted.
As well known, a DTC technique is based on switching table which permits to choose an adequate inverter voltage vector to be applied to the converter according to flux and torque errors.
These ones are deduced by a comparison between the references and estimated or measured values of flux and torque. For the control of the electromagnetic torque, we can use a three level hysteresis comparator which permits to have the two senses of motor rotation. Three level hysteresis comparator. A two level hysteresis comparator could be used for the control of the flux.
Flux hysteresis corrector. The wind turbine blockset in matlab simulink download value of the torque is given by a PI controller which is able to reach the reference speed. The PI parameters are adapted by a fuzzy logic inference system.
Torque reference estimation. The rotor flux amplitude is controlled in order to keep the unity power factor of the rotor current and rotor voltage. This is obtained if the rotor flux amplitude has to be перейти на источник orthogonal projection of the stator vector.
❿Wind turbine blockset in matlab simulink download.(Download PDF) Aerosim blockset
The current pathdef. The AeroSim library folders, presented in Fig. These include nonlinear equations of motion, linear aerodynamics, piston-engine propulsion, aircraft inertia parameters, atmosphere models, Earth models, sensors and actuators, frame transformations, and pilot interfaces such as joystick input and 3-D visual output.
The library also provides complete aircraft models built using AeroSim blocks, and which can be customized to particular aircraft by editing an aircraft parameter le. In addition to the block library, a set of Simulink demos can be found in the samples directory of the AeroSim blockset. These provide dynamic models of actual aircraft such as the Aerosonde Unmanned Air Vehicle and the Navion general-aviation airplane.
The demo models are presented in detail in the next section. Aircraft model trim and linearization functions as well as trim examples for Aerosonde and Navion can be found in the trim directory.
The util directory contains several useful engineering math functions including Euler and Quaternion attitude representations, and eigenvalue analysis. This allows you to use Real-Time Workshop with any aircraft models developed with AeroSim blocks and be able to build the resulting source code for other hardware platforms.
Figure 1: Simulink Library Browser 5. The following Simulink models can be found in the samples directory of the AeroSim library. They illustrate the functionality of the AeroSim blockset. The models presented next are using the Aerosonde for aircraft dynamics, but similar models exist for the Navion airplane as well. The rst demo, with the Simulink model shown in Fig.
That is, all aircraft control inputs are set to xed values, independent of the aircraft states. The Simulink model can be opened by typing its name. Both les are located in the sub-directory samples of the main AeroSim directory. The unbalanced roll moment caused by the propulsion system excites the spiral mode and the aircraft settles in a constant bank angle turn, as shown in Fig. Figure 3: Aerosonde open-loop ight demo at the Matlab commmand prompt: aerosonde demo1.
The aircraft parameter le used by the Aerosonde model is aerosondecfg. To open the second demo, type aerosonde demo2 at the Matlab command prompt. The Simulink diagram is shown in Fig. Figure 6: Bank angle is now stabilized Figure 5: Aerosonde lateral control demo this example, we stabilize the lateral dynamics of the aircraft by adding a wing leveler. This is implemented using proportional and integral feedback from bank angle to ailerons.
We can see in Fig. To open the third demo, type aerosonde demo3 at the Matlab command prompt. The model aerosonde demo4 adds an airspeed control loop using PID proportional, integral, derivative control laws - see Fig. By running the simulation, you should see a plot of the airspeed and pitch angle similar to Fig. The airspeed does indeed settle to the commanded value, while the phugoid oscillations are virtually eliminated and the pitch angle settles to a value of approximately 1.
Figure 7: Aerosonde open-loop ight demo the lateral dynamics of the aircraft now under control, we take a quick look at the longitudinal dynamics. In Fig. The initial phugoid oscillations take approximately 60 seconds to damp out. At the To open the fth demo, type aerosonde demo5 at the Matlab command prompt.
This ex-. First, we notice that compared to the results of previous simulations, the airspeed and pitch plots are noisy - the effect of the von Karman turbulence models - see Fig. We also plot the orientation of the aircraft airspeed vector, versus the orientation of the aircraft groundspeed vector. When there is no wind the two vectors are overlapped, and their magnitudes are identical.
In the presence of background wind, this will cause a difference in the orientation and the magnitude of the airspeed and groundspeed vectors. We can see that in our case, there is a difference of approximately 30 degrees airspeed heading is 25, while the groundspeed heading is Figure Aerosonde wind demo ample illustrates the effects of wind. To open the sixth demo, type aerosonde demo6 at the Matlab command prompt. This example is using the Inertial Navigation System block from.
Figure INS demo the AeroSim library to integrate the inertial sensor measurements provided by the aircraft model. The inertial measurements are integrated to obtain estimates of the aircraft states position, velocity, and attitude.
These are plotted against the aircraft states provided by the aircraft model - Fig. We can see that the INS estimates diverge from the real states slowly in time. Although the model assumes perfect sensors, small errors such as those induced by the xed-step integration scheme accumulate during the INS integration process causing this divergent behavior.
PVA estimates can be improved by adding a navigation Kalman lter. The joystick demo, with the Simulink model joystick demo1 requires the presence of a properly calibrated joystick on the system. The model is shown in Fig. While the simulation is running,. Figure Joystick demo the display blocks will show the current values for the joystick position on the 6 axes, as well as the buttons and POV hat switch This demo illustrates the FlightGear interface functionality.
First, open the Simulink model aerosonde demo fgfs. The Simulink model, shown in Fig. The demo model will dump aircraft state data over the local network connection using the UDP protocol. Double-click on the FlightGear Interface block. This will open the parameter dialog, as shown in Fig. In the upper edit box, type the name of the computer on which FlightGear is installed. The parameter should be a string single quotation marks.
However, for good performance we recommend keeping the Matlab and the FlightGear applications on separate machines, since both applications put a signicant load on the CPU. The lower edit box allows the user to specify the sample time at which aircraft state data will be sent to FlightGear. Due to Simulink constraints, this should be a multiple of the base model sample time. For this demo it is probably best to leave this setting unchanged.
First start FlightGear Flight Simulator, by using the external ight model option. With these parameters, FlightGear will disable its internal ight dynamics, and it will accept aircraft states from the local network, as a UDP stream, on port Now run the Simulink model aerosonde demo fgfs. The FlightGear screen should display a view from the aircraft in straight and.
While the simulation is running, change the value in the Bank angle Command block from 0 to 30 degrees. The FlightGear screen will show the aircraft banking right, as it settles at the new bank angle command - see Fig.
This demo will present the methodology for interfacing an aircraft dynamic model running in Simulink to a computer running Microsoft Flight Simulator. If using Flight Simulator , install the latest patch update 2b. Unzip fsuipc. Unzip widefs. Edit the client initialization le to specify the address of the computer running the Flight Simulator with WideServer. Launch the WideFS client program.
If properly congured, the client should connect in a couple of seconds to the server. On the Matlab machine, open the Simulink demo aerosonde demo msfs. The demo model is shown in Fig. Start the Simulink model. The Flight Simulator screen will display the current position and attitude of the aircraft.
Give the autopilot a new bank angle command, by updating the Bank angle Command block. You should be able to see the change in aircraft attitude in Flight Simulator immediately. Particular aircraft visual models can be loaded in Microsoft Flight Simulator before starting the simulation. Several ready-torun demos are also provided in the samples directory.
These are: cfg demo. Before running any of these Simulink models, make sure to set the correct FlightGear path string in the aircraft model block parameters, by double-clicking on the aircraft block and editing the parameter FlightGear path.
Two aircraft trim and linearization examples can be found in the trim directory - for the Aerosonde UAV and for the Navion airplane. Each of the examples includes a Simulink model of the aircraft and a Matlab script which performs the trim and the linearization of the aircraft dynamics. The Simulink model is shown in Fig. The attitude equations in the aircraft model are implemented using the Euler angle representation which provides more intuitive trim results.
Several aircraft control inputs - the ap, the mixture and the ignition are assumed constant through-out the trim procedure. The values for these constants, as well as the aircraft model block parameters are read from a Matlab structure created by the trim program TrimParam.
Often the order in which Matlab considers the states in a Simulink block diagram is different that the order we intend to use. The script performs several steps, as presented below: These include the Simulink model name and sample time settings as well as default values for aircraft control inputs.
Identify the order of the aircraft states. The identication is done by running the Simulink model for a single sample time with some default initial guesses and reading back the Simulink model state vector to identify the indices for each of the states of interest. Initial guess for the aircraft controls. The procedure rst requires user input regarding the ight condition at which the aircraft is to be trimmed. Once the ight condition is completely dened, the Simulink model is run for a limited amount of time, in an iterative process, and the aircraft control inputs are adjusted each time by proportional feedback from selected model outputs for example, elevator feedback is provided by airspeed error, throttle feedback - by altitude error, and aileron feedback - by bank angle error.
The method provides a better initial guess for the next step the optimization, but the feedback gains are aircraft-specic, therefore the trim script requires some adjustments for each new aircraft. Perform the aircraft trim. Once a reasonable initial guess for the aircraft control inputs is obtained, the program will run the optimization which will accurately trim the aircraft for the selected ight-condition. The Matlab function used by this procedure is trim.
Extract the linear model. Knowing the trim inputs and states, The resulting linear model is then decoupled into longitudinal and lateraldirectional plants; this procedure is valid only if the aircraft is trimmed for straight and level ight.
At the end of the linearization procedure, a simple eigenvalue analysis of the longitudinal and lateral-directional dynamics is performed. By running the trim program trim aerosonde. Identifying the order of the Simulink model states Eigenvalue: This chapter outlines the pre-built aircraft models that are provided in the AeroSim blockset. These can be customized by setting the aircraft aerodynamic, propulsion, and inertia properties in an aircraft parameter le.
The general architecture of the complete aircraft model blocks is also presented. Finally, special issues such as interfacing the Simulink models with Flight Simulator are discussed. The following aircraft examples are included in the AeroSim blockset: Aerosonde UAV - a small autonomous airplane designed for weather-reconnaissance and remote-sensing missions - Fig. The Aerosonde block can be found in the demo models.
Figure Navion through 5. The aircraft parameter le is navioncfg. Beyond point D, the pitch angle is proportional to the speed deviation from point D speed. The control system is illustrated in the following figure. Pitch angle control. The doubly-fed induction generator phasor model is the same as the wound rotor asynchronous machine see the Machines library with the following two points of difference:.
A trip input has been added. When this input is high, the induction generator is disconnected from the grid and from the rotor converter. The magnetization of the generator can be achieved via the rotor circuit and not necessarily via the grid. The DFIG is capable of producing reactive power that it is delivered through the grid-side converter. Usually, this converter operates under constant unity power factor and it is not involved in reactive power trading with the grid.
Also, the DFIG can be regulated in order to produce or consume a certain amount of reactive power. This way, the voltage control is achieved in cases of weak distribution grids. The converter size is not determined according to the total power of the generator but according to the decided speed range of the machine and therefore the slip range.
The selected speed range is decided according to the economical optimization and the increased performance of the system. Referring to the model developed in Matlab Simulink and defining the different parameters of the induction machines DFIG in particularly , the DFIG equations can be resumed as follows:. In most practical work, the DFIG will have a non-unity turns ratio, n witch must be included in the flux linkage equations.
Also, it will be useful to define the d- and q-axis magnetizing current. Including magnetizing currents and turns ratio, the flux linkage equations must be rewritten and finally the electrical model of the machine is schematised as follow case of d-axis seen from stator :. Electrical model in d-axis seen from stator. To control the torque and power factor of a doubly fed machine used in wind power generation system, a Direct Torque Control DTC method is adopted.
As well known, a DTC technique is based on switching table which permits to choose an adequate inverter voltage vector to be applied to the converter according to flux and torque errors. These ones are deduced by a comparison between the references and estimated or measured values of flux and torque. For the control of the electromagnetic torque, we can use a three level hysteresis comparator which permits to have the two senses of motor rotation. Three level hysteresis comparator.
A two level hysteresis comparator could be used for the control of the flux. Flux hysteresis corrector. The reference value of the torque is given by a PI controller which is able to reach the reference speed. The PI parameters are adapted by a fuzzy logic inference system. Torque reference estimation. The rotor flux amplitude is controlled in order to keep the unity power factor of the rotor current and rotor voltage. This is obtained if the rotor flux amplitude has to be the orthogonal projection of the stator vector.
So, the reference value of the rotor flux is defined by:. As mentioned below, the Direct Torque Control of DFIG is directly established through the selection of the appropriate stator vector to be applied by the inverter.
To do that, in first state, the estimated values of stator flux and torque are compared to the respective references, and the errors are used through hysteresis controller. The phase plane is divided, when the DFIG is fed by two-level voltage inverter with eight sequences of the output voltage vector, into six sectors. When the flux is in a sector i , the control of flux and torque can be ensured by the appropriate vector tension, which depends on the flux position in the reference frame, the variation desired for the module of flux and torque and the direction of flux rotation:.
Stator vectors of tensions delivered by a two level voltage inverter. Selection of vector tension. The implemented switching table consents to give the right pulses to the rotor side converter having as inputs the sector in which the rotor flux lies and the values of the hysteretic controllers. According to the table 2 , the appropriate control voltage vector imposed by the choice of the switching state is generated:. The following figure shows the selected voltage vector for each sector to maintain the stator flux in the hysteresis bound.
The applied vector control is based on a synchronously rotating, stator flux oriented d-q reference frame, which means that the d-axis is aligned with the vector of the grid voltage and the q component is zero. We establish a regulation of the DC bus voltage to its reference by a PI corrector. The output of this corrector is the direct current reference. The current measured at the output of the inverter connecting the MADA to the network is transformed into its dq components.
By imposing the quadrature component of reference voltage to zero, and then, performing the regulation of the direct and quadrature components of the output voltage of the network side converter, we obtain the two components voltage to be imposed.
After decoupling and compensation procedures, followed by transformation into Cartesian coordinates, we define the control signals of the converter with a simple modulation based on level comparators. Diagram of Voltage Oriented Control of Grid side converter. Simulations were performed to show the behavior of the Doubly Fed Induction generator connected to the grid by a bi-directional converter.
The torque reference value is deduced from the regulation of the wind generator speed according to the wind speed and using a PI corrector. In this example, we have used three levels of wind speed. We have chosen to present the results corresponding to the rotation speed evolution, the electromagnetic torque, the flux evolution in the subspace and the stator currents.
Stator flux in the phase plane. Phase current time evolution. Time evolution of mechanical speed and electromagnetic torque. The Direct Torque Control DTC is an important alternative method for the doubly fed induction machine drive based wind turbine, with its high performance and simplicity.
The control of the DFIG connected to the grid with back to back converter, using two control techniques: DTC for the rotor side converter and Voltage Oriented Control for the grid converter present good performance and undulations reduction.
Finally, we can conclude that the control methods applied to DFIG present most interest and contribute to improvement of system response performances. The first investigations, presented here, of the DFIG control prove its effectiveness and its high dynamics. It will be completed in a future work by considering others control techniques and particularly limiting torque undulations and resolving the problem of variable switching frequency. Licensee IntechOpen.
This chapter is distributed under the terms of the Creative Commons Attribution 3. Edited by Vasilios Katsikis. Published: September 26th, Katsikis Book Details Order Print. Impact of this chapter. Introduction In the last years, Matlab-Simulink has become the most used software for modeling and simulation of dynamic systems.
Wind turbine model This model is based on the steady-state power characteristics of the turbine. Wind turbine control For example, the wind turbine doubly fed induction generator is studied. Power control The power is controlled in order to follow a pre-defined power-speed characteristic. Reactive power control The reactive power at grid terminals or the voltage is controlled by the reactive current flowing in the rotor converter.
Pitch angle control The pitch angle is kept constant at zero degree until the speed reaches point D speed of the tracking characteristic. Advantages of DFIG in wind turbine systems The doubly-fed induction generator phasor model is the same as the wound rotor asynchronous machine see the Machines library with the following two points of difference: Only the positive-sequence is taken into account, the negative-sequence has been eliminated.
The DFIG, in the wind turbine system, presents the following attractive advantages: The active and reactive power can be controlled independently via the current of the rotor; The magnetization of the generator can be achieved via the rotor circuit and not necessarily via the grid.
In this part, the dynamic model of DFIG in the dq frame is succinctly presented. Dynamic model of DFIG in terms of dq windings The general model for wound rotor induction machine is resumed as follows. Rotor flux and torque control For the control of the electromagnetic torque, we can use a three level hysteresis comparator which permits to have the two senses of motor rotation. Switching table As mentioned below, the Direct Torque Control of DFIG is directly established through the selection of the appropriate stator vector to be applied by the inverter.
Table 1. Table 2. File Exchange. Updated 14 Oct View License on GitHub. Steve Miller Retrieved December 31, Learn About Live Editor. Added Ra version. Contact me for models compatible with other releases if what you want is not in this submission. Added Ra version and text for citing submission in other works. Made startup file compatible with Mac. Added Ra and Rb versions. Now uses variant subsystems with hyperlinks to control the configuration.
Run time parameter example added. Zip file updated with Ra version. Also includes versions for Rb, Ra, Ra, and Rb.
❿
Comments
Post a Comment