at a high level , the visualization process to be discussed in detail below is one component of a sequence designer that is used by engineers to understand , design and implement various operations in a factory , plant or the like . the sequence designer builds the bridge between the mechanical engineer and the automation engineer , allowing the user to describe the mechanical and electrical workflow of the plant in a completely digital model . as described below , the electrical information is automatically derived from the mechanical information . a tabular and graphical interface is then used for building and visualizing the machine behavior , and is capable of providing separate views for the mechanical information and the electrical information , but the data models associated with the process are connected between both views . indeed , it is considered helpful to have a full understanding of the visualization method described in our co - pending application prior to considering the details of using a non - linear time scale in such a visualization method . to that end , fig2 is a schematic view of the model visualization process as described in our co - pending application . in its most general terms , the visualization of an electrical machine operation model is most useful in formulating a plc ( programmable logic controller ) program from a mechanical machine operation model . the electrical model may be derived automatically or semi - automatically from the associated mechanical model . the electrical machine operation model streamlines and improves the efficiency of the engineering process that is used in the automation field to create plc programs that control machines in a manufacturing plant , a factory or the like . in its simplest form , a mechanical machine operation model allows for the configuration of the mechanical steps that define various mechanical device state changes , identifying only the start and end positions defining a change in position for each machine ( device ) involved in the process . the exact physical behavior between the start and end points ( including intermediate positions , velocity , acceleration and the like ) is not described in the simplest case . thus , a ‘ straight line ’ segment is used in fig2 to represent each instance of a mechanical machine operation . the electrical machine operation model is based on the mechanical model . it also includes steps and transitions , but does not include actions . the steps of the electrical machine operation model may additionally include so - called waiting steps wherein a user can add waiting times in the electrical model . the transitions of the electrical machine operation model may be very different from those of the mechanical model , because it is possible for a user to represent one mechanical sequence with multiple electrical sequences . for example , a user may define one electrical sequence per device . an important difference between the electrical machine operation model and the mechanical model is the fact that the electrical machine operation model has information about electrical ( sensor and actuator ) signals . the electrical machine operation model also stores conditions for those signals based on transitions between electrical steps . the electrical machine operation model is created by creating electrical elements corresponding to the mechanical steps , signals and conditions . electrical steps can also have interlock information , as well as additional signal output values . these parameters may be added manually by an engineer using the visualization technique described herein . the visualization itself may be performed on a two - dimensional ( or three - dimensional ) display space such as that of computer or video display . the display may be part of a graphical user interface that may also include a keyboard , a mouse or other user interface devices , for interfacing with a computer . the display is controlled by one or more computers running one or more applications programs for performing the described visualization methods . it is further presumed that most ( if not all ) visualizations will need to show multiple devices and their interrelationships . fig2 shows an exemplary display space 200 , which is divided into a pair of subspaces 210 , 220 ( with the understanding that a typical space will contain many more subspaces , but for the sake of clarity only two such subspaces are shown in fig2 ). a first device d 1 is identified in device header space 209 and is represented in subspace 210 . a second device d 2 is identified in device header space 219 and is represented in subspace 220 . the device representation of subspace 210 includes two mechanical steps , shown as 211 and 213 in fig2 . an electrical step 212 is shown as superimposed on the underlying mechanical step 211 , from which it was created . similarly , an electrical step 214 is superimposed on the associated underlying mechanical step 213 , from which it was created . the device representation of subspace 210 also includes signal representations , including a representation of signal 215 , which becomes “ high ” after completion of mechanical step 211 . the device representation of subspace 220 includes a single mechanical step 221 . an electrical step 222 is superimposed on the underlying mechanical step 221 , from which it was created . the device representation of subspace 220 also includes signal representations including a representation of signal 225 , which becomes “ high ” after completion of mechanical step 221 . as also shown in fig2 , a pair of electrical transitions 230 and 231 connect the electrical steps performed by different devices . in particular , electrical transition 230 connects electrical step 212 , performed by device d 1 as identified in device header space 209 ( subspace 210 ), with electrical step 222 performed by device d 2 as identified in device header 219 ( subspace 220 ). similarly , electrical transition 231 connects electrical step 222 with electrical step 214 , performed by device d 1 . conditions are also shown for each of these electrical transitions . in particular , a first condition 240 makes the transition 230 conditional on signal 215 going “ high ”, while a second condition 241 makes the transition 231 conditional on signal 225 going “ high ”. it can be seen that conditions may be represented in space 200 whereby any transition may be made conditional on any related signal , regardless of the device with which the signal is associated . the conditions may be interactively changed by a user ( for example , by dragging with a cursor ) in order for a user to evaluate various conditions . while the transitions are shown conditional on changes in digital signal values , the transitions may alternatively be triggered by an analog signal reaching a threshold value . while it is relatively easy to visualize the various components in display space 200 , this is an idealistic view to assist in understanding the parameters of the visualization process and is not indicative of a ‘ real world ’ system . indeed , fig3 illustrates a display space 300 associated with a more realistic industrial process . as shown , this graph is rather complex and would be even more so if the “ signal ” portion of the graph were to be shown . as it is , only the mechanical and electrical steps are illustrated in space 300 . presuming that the time scale is measured in seconds , it is shown that there are a number of mechanical and electrical steps occurring between the 10 second marker and the 20 second marker , defined as time period 310 . a second set of mechanical and electrical steps are shown as occurring during the 190 - 205 second interval ( defined as time period 320 ). it is difficult to parse these different steps ( as well as use a cursor or other device to manipulate separate ones of these steps ) in this rather complex network of transitions as a result of their overlapped nature . thus , in accordance with the present invention , it is proposed to replace the linear time scale shown in fig2 and 3 with anon - linear time scale that allows for each event to be viewed without confusion . in particular , a unique non - linear time scale is developed for each specific visualization , rather than attempt to apply a generic non - linear policy to all such visualizations . to that end , a specific process is used in accordance with the present invention to determine the optimum non - linear time scale for the visualization of a specific plant operation under study , taking into consideration the size of the display space being used . fig4 contains a flowchart of an exemplary process of the present invention that is best understood in conjunction with display space 300 of fig3 , as re - created in fig5 to show the implementation of the inventive process . with reference to fig4 , the process begins at step 410 by identifying all “ points of interest ” along the time axis . for the purposes of the present invention , a “ point of interest ” is a transition point in the mechanical and electrical model , equivalent to the start time or ending time of a specific step . it is to be noted that if a first ‘ transition ’ associated with one device occurs at the same point in time as a ‘ transition ’ associated with a separate device , that specific “ point of interest ” should only be counted once during this process . to that end , steps 412 and 414 in the process shown in fig4 proceed to eliminate all duplicate time designations that may be associated with the starting and stopping of different electrical and mechanical elements in a specific process . once all duplicate points of interest ( if any ) are eliminated , the remaining points are sorted chronologically ( step 416 ), resulting in this specific example as a set of fifteen specific points of interest along the time axis of display space 300 as depicted in fig5 . as shown , it is clear that points of interest 2 and 3 are relatively close together in time , causing the elements associated with this time period to be condensed into a relatively short span . similarly , points 4 , 5 and 6 are close together , as is the entire grouping of points 7 through 15 . in contrast , there is a significant gap ( i . e ., period of inactivity where there is no user - relevant detail ) between points of interest 3 and 4 of display space 300 . thus , if using this display space as the final working version of the visualization ( as in our prior , co - pending application ), there is a significant amount of wasted space , while a substantial amount of detail is crowded into a relatively short time period . in accordance with the present invention , this limitation is overcome by proceeding with the next step in the process , shown as step 418 , which is to measure and record the length of each time period t i between each point of interest , with the time period between points 1 and 2 defined as t 1 , between points 2 and 3 defined as t 2 and so on . presuming that the linear time scale of fig5 is measured in seconds , it is shown that some time periods are measured on the order of a “ few ” seconds , while others are more significant in their extent . for example , time period t 3 between points 3 and 4 is on the order of 134 seconds ( spanning from 15 . 3 seconds to 149 . 5 seconds ), while time period t 6 between points 6 and 7 is approximately 34 seconds ( spanning from 154 . 2 to 187 . 4 seconds ). by virtue of replacing the linear time scale ( as shown in the visualization of fig5 ) with a non - linear scale in accordance with the present invention , the “ empty ” time intervals ( such as t 3 and t 6 ) are compressed ( also referred to as “ folded ”) into smaller intervals so that the limited display space can better illustrate the details of each event without compromising the amount of detail that is shown . thus , in accordance with the embodiment of the present invention as outlined in fig4 , the next step in the process ( identified as step 420 ) is to define a threshold time interval t th . this threshold is then used as the demarcation point , where all intervals greater than the value t th will be shortened . for example , a threshold value of seven seconds may be selected . thus , each time period having a value greater than seven seconds will be identified ( step 422 ) as needing to be shortened . it is to be understood that the exact value of t th depends upon the absolute size of the specific design space visualization ( e . g ., the number of pixels in the display , the dots - per - inch ( dpi ) value if visualized on a computer screen , and the like ). applying this threshold to the specific diagram shown in fig5 , there are three time periods that identified in step 422 as being larger than the defined threshold value t th : namely , time periods t 1 , t 3 and t 6 . the next step in the process , as defined by step 424 , is to determine the fixed time value t fixed that is optimum for representing each over - threshold time period . for example , it may be determined that a three second fixed time value is useful . again , as with threshold determination , the exact value selected for the fixed time period will be influenced by the number of intervals that are to be shortened , as well as the size of the display being used . with the fixed time value determined , the time intervals for t 1 , t 3 and t 6 are modified accordingly , as indicated in step 426 . the resulting displace space is shown in fig6 . in particular , by “ folding ” these longer , inactive timer periods into a predefined value ( in this case , three seconds ), there is more ‘ room ’ along the time axis of the display space for each of the events associated with the points of interest . thus , the display space retains all of the information contained in the original version , but the non - linear time scale allows for the individual events to be evaluated and visualized with clarity . particular reference is made to the clarity introduced with the events occurring between point of interest 7 and point of interest 15 . in the original as shown in fig5 , it is difficult to discern the individual events . the non - linear visualization as shown in fig6 renders each event in detail . while the flowchart of fig4 is exemplary of a specific process that may be used , it is considered to be one of many alternatives for creating a non - linear time scale for the display space . in general , any method for replacing relatively “ long ” time periods of inactivity with a shorter time period may be employed in the method of the present invention to create a non - linear time axis for the display space . as noted above , the present invention may be embodied in a system for visualizing an electrical machine operation model . fig7 illustrates a system 700 for visualizing an electrical machine operation model according to an exemplary embodiment of the present invention . as shown , system 700 includes a personal computer ( pc ) or similar device 710 , as well as an associated console 715 . the system may be connected to one or more plcs 780 over a wired ( or wireless ) network 705 . pc 710 , which may be a portable computer or laptop computer ( or a mainframe or other suitable configuration ), includes a central processing unit ( cpu ) 725 and a memory 730 connected to an input device 750 and an output device 755 . cpu 725 includes a model visualization module 745 and that includes one or more methods for visualizing a non - linear time scale electrical machine operation model as discussed herein , including the process as outlined in fig4 for translating the standard linear time visualization to the preferred non - linear time scale model . although shown in fig7 as residing inside cpu 725 , model visualization module 745 can be located outside cpu 725 . memory 730 includes a random access memory ( ram ) 735 and a read - only memory ( rom ) 740 . memory 730 can also include a database , disk drive , tape drive , etc ., or a combination thereof . ram 735 functions as a data memory that stores data during execution of a program in cpu 725 and is used as a work area . rom 740 functions as a program memory for storing a program executed in cpu 725 . the program may reside on rom 740 or on any other computer - usable medium as computer readable instructions stored thereon for execution by cpu 725 or other processor to perform the methods of the invention . input 750 is constituted by a keyboard , mouse , network interface , etc ., and output 755 is constituted by a liquid crystal display ( lcd ), cathode ray tube ( crt ) display , printer , etc . the operation of system 700 can be controlled from the operator &# 39 ; s console 715 , which includes a controller 765 ( e . g ., a keyboard and display 760 ). operator &# 39 ; s console 715 communications with pc 710 through a network , a bus or other means so that a non - linear time scale visualization created by module 745 can be rendered by pc 710 and viewed on display 760 . pc 710 can be configured to operate and display information using , e . g ., input 750 and output 755 devices to execute certain tasks . program inputs , such as a mechanical machine operation model , may be input through input 750 or stored in memory 730 . the foregoing detailed description is to be understood as being in every respect illustrative and exemplary , but not restrictive , and the scope of the invention disclosed herein is not to be determined from this description , but rather from the following claims as interpreted according to the full breadth permitted by the patent laws . it is to be understood that the embodiments shown and described herein are only illustrative of the principles of the present invention and that various modifications may be implemented by those skilled in the art without departing from the scope and spirit of the invention .