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1、附錄:外文資料翻譯外文資料原文:a virtual environment for protective relaying evaluation and testinga. p. sakis meliopoulos and george j. cokkinidesabstractprotective relaying is a fundamental discipline of power system engineering. at georgia tech, we offer three courses that cover protective relaying: an undergra
2、duate course that devotes one-third of the semester on relaying, a graduate courseentitled “power system protection,” and a three-and-a-half-day short course for practicing engineers. to maximize student understanding and training on the concepts,theory, and technology associated with protective rel
3、aying, we have developed a number of educational tools, all wrapped in a virtual environment. the virtual environment includes a) a power system simulator, b) a simulator of instrumentation for protective relaying with visualization and animation modules, c) specific protective relay models with vis
4、ualization and animation modules, and d) interfaces to hardware so that testing of actual relaying equipment can be performed. we refer to this set of software as the “virtual power system.” the virtual power system permits the in-depth coverage of the protective relaying concepts in minimum time an
5、d maximizes student understanding. the tool is not used in a passive way. indeed, the students actively participate with well-designed projects such as a) design and implementation of multifunctional relays, b) relay testing for specific disturbances, etc. the paper describes the virtual power syste
6、m organization and “engines,” such as solver, visualization, and animation of protective relays, etc. it also discusses the utilization of this tool in the courses via specific application examples and student assignments.index termsalgebraic companion form, animation, relaying,time-domain simulatio
7、n, visualization.i. introductionrelaying has always played a very important role in the security and reliability of electric power systems. as the technology advances, relaying has become more sophisticated with many different options for improved protection of the system. it is indisputable that re
8、laying has made significant advances with dramatic beneficial effects on the safety of systems and protection of equipment. yet, because of the complexity of the system and multiplicity of competing factors, relaying is a challenging discipline. despite all of the advances in the field, unintended r
9、elay operations (misoperations) do occur. many events of outages and blackouts can be attributed to inappropriate relaying settings, unanticipated system conditions, and inappropriate selection of instrument transformers. design of relaying schemes strives to anticipate all possible conditions for t
10、he purpose of avoiding undesirable operations. practicing relay engineers utilize a two-step procedure to minimize the possibility of such events. first, in the design phase, comprehensive analyses are utilized to determine the best relaying schemes and settings. second, if such an event occurs, an
11、exhaustive post-mortem analysis is performed to reveal the root cause of the event and what “was missed” in the design phase. the post-mortem analysis of these events is facilitated with the existing technology of disturbance recordings (via fault disturbance recorders or embedded in numerical relay
12、s). this process results in accumulation of experience that passes from one generation of engineers to the next. an important challenge for educators is the training of students to become effective protective relaying engineers. students must be provided with an understanding of relaying technology
13、that encompasses the multiplicity of the relaying functions, communications, protocols, and automation. in addition, a deep understanding of power system operation and behavior during disturbances is necessary for correct relaying applications. in todays crowded curricula, the challenge is to achiev
14、e this training within a very short period of time, for example, one semester. this paper presents an approach to meet this challenge. specifically, we propose the concept of the virtual power system for the purpose of teaching students the complex topic of protective relaying within a short period
15、of time. the virtual power system approach is possible because of two factors: a) recent developments in software engineering and visualization of power system dynamic responses, and b) the new generation of power system digital-object-oriented relays. specifically, it is possible to integrate simul
16、ation of the power system, visualization, and animation of relay response and relay testing within a virtual environment. this approach permits students to study complex operation of power systems and simultaneously observe relay response with precision and in a short time.the paper is organized as
17、follows: first, a brief description of the virtual power system is provided. next, the mathematical models to enable the features of the virtual power system are presented together with the modeling approach for relays and relay instrumentation. finally, few samples of applications of this tool for
18、educational purposes are presented.ii. virtual power systemthe virtual power system integrates a number of application software in a multitasking environment via a unified graphical user interface. the application software includes a) a dynamic power system simulator, b) relay objects, c) relay inst
19、rumentation objects, and d) animation and visualization objects. the virtual power system has the following features:1) continuous time-domain simulation of the system under study;2) ability to modify (or fault) the system under study during the simulation, and immediately observe the effects of the
20、changes;3) advanced output data visualization options such as animated 2-d or 3-d displays that illustrate the operation of any device in the system under study.the above properties are fundamental for a virtual environment intended for the study of protective relaying. the first property guarantees
21、 the uninterrupted operation of the system under study in the same way as in a physical laboratory: once a system has been assembled, it will continue to operate. the second property guarantees the ability to connect and disconnect devices into the system without interrupting the simulation of the s
22、ystem or to apply disturbances such as a fault. this property duplicates the capability of physical laboratories where one can connect a component to the physical system and observe the reaction immediately (e.g., connecting a new relay to the system and observing the operation of the protective rel
23、aying logic, applying a disturbance and observing the transients as well as the relay logic transients, etc.). the third property duplicates the ability to observe the simulated system operation, in a similar way as in a physical laboratory. unlike the physical laboratory where one cannot observe th
24、e internal operation of a relay, motor, etc., the virtual power system has the capability to provide a visualization and animation of the internal “workings” of a relay, motor, etc. this capability to animate and visualize the internal “workings” of a relay, an instrumentation channel, or any other
25、device has substantial educational value.the virtual power system implementation is based on the ms windows multidocument-viewarchitecture. each document object constructs a single solver object, which handles the simulation computations. the simulated system is represented by a set of objectsone fo
26、r each system device (i.e. generators, motors, transmission lines, relays, etc). the document object can generate any number of view window objects. two basic view classes are available: a) schematic views and b) result visualization views. schematic view objects allow the user to define the simulat
27、ed system connectivity graphically, by manipulating a single line diagram using the mouse. result visualization views allow the user to observe calculated results in a variety of ways. several types of result visualization views are supported and will be discussed later.fig. 1 illustrates the organi
28、zation of device objects, network solver, and view objects and their interactions. the network solver object is the basic engine that provides the time-domain solution of the device operating conditions. to maintain object orientation, each device is represented with a generalized mathematical model
29、 of a specific structure, the algebraic companion form (acf). the mathematics of the algebraic companion form are described in the next section. implementationwise, the network solver is an independent background computational thread, allowing both schematic editor and visualization views to be acti
30、ve during the simulation. the network solver continuously updates the operating states of the devices and “feeds” all other applications, such as visualization views,etc. the network solver speed is user selected, thus allowing speeding-up or slowing-down the visualization and animation speed. the m
31、ultitasking environment permits system topology changes, device parameter changes, or connection of new devices (motors, faults) to the system during the simulation. in this way, the user can immediately observe the system response in the visualization views.the network solver interfaces with the de
32、vice objects. this interface requires at minimum three virtual functions:initialization: the solver calls this function once before the simulation starts. it initializes all device-dependent parameters and models needed during the simulation.reinitialization: the solver calls this function any time
33、the user modifies any device parameter. its function is similar to the initialization virtual function.time step: the solver calls this function at every time step of the time-domain simulation. it transfers the solution from the previous time step to the device object and updates the algebraic comp
34、anion form of the device for the next time step (see next section “network solver.”)in addition to the above functions, a device object has a set of virtual functions comprising the schematic module interface. these functions allow the user to manipulate the device within the schematic editor graphi
35、cal user interface. specifically,the device diagram can be moved, resized, and copied using the mouse. also, a function is included in this set, which implements a device parameter editing dialog window which “pops-up” by double clicking on the device icon. furthermore,the schematic module interface
36、 allows for device icons that reflect the device status. for example, a breaker schematic icon can be implemented to indicate the breaker status.finally, each device class (or a group of device classes) may optionally include a visualization module, consisting of a set of virtual functions that hand
37、le the visualization and animation output. the visualization module interface allows for both two-dimensional (2-d) and three-dimensional (3-d) graphics. presently, 2-d output is implemented via the windows graphical device interface (gdi) standard. the 3-d output is implemented using the open graph
38、ics library (opengl). both 2-d and 3-d outputs generate animated displays, which are dynamically updated by the network solver to reflect the latest device state. the potential applications of 2-d or 3-d animated visualization objects are only limited by the imagination of the developer. these objec
39、ts can generate photorealistic renderings of electromechanical components that clearly illustrate their internal operation and can be viewed from any desired perspective,slowed down, or paused for better observation.iii. network solverany power system device is described with a set of algebraicdiffe
40、rential-integral equations. these equations are obtained directlyfrom the physical construction of the device. it is alwayspossible to cast these equations in the following general formnote that this form includes two sets of equations, which arenamed external equations and internal equations, respe
41、ctively.the terminal currents appear only in the external equations.similarly, the device states consist of two sets: external statesi.e., terminal voltages, v(t) and internal states i.e. y(t). theset of (1) is consistent in the sense that the number of externalstates and the number of internal stat
42、es equals the number of externaland internal equations, respectively.note that (1) may contain linear and nonlinear terms. equation(1) is quadratized (i.e., it is converted into a set of quadraticequations by introducing a series of intermediate variables and expressing the nonlinear components in t
43、erms of a series of quadratic terms). the resulting equations are integrated using a suitable numerical integration method. assuming an integration time step h, the result of the integration is given with a second-order equation of the formwhere , are past history functions.equation (2) is referred
44、to as the algebraic companion form (acf) of the device model. note that this form is a generalizationof the resistive companion form (rcf) that is used by the emtp 3. the difference is that the rcf is a linear model that represents a linearized equivalent of the device while the acf is quadratic and
45、 represents the detailed model of the device.the network solution is obtained by application of kirchoffs current law at each node of the system (connectivity constraints). this procedure results in the set of (3). to these equations, the internal equations are appended resulting to the following se
46、t of equations:(3)internal equations of all devices (4)where is a component incidence matrix withif node of component is connected to node otherwise is the vector of terminal currents of component k.note that (3) correspond one-to-one with the external system states while (4) correspond one-to-one w
47、ith the internal system states. the vector of component k terminal voltages isrelated to the nodal voltage vector by(5)upon substitution of device (2), the set of (3) and (4) become a set of quadratic equations (6)where x(t) is the vector of all external and internal system states.these equations ar
48、e solved using newtons method. specifically,the solution is given by the following expression(7)where is the jacobian matrix of (6) and are the values ofthe state variables at the previous iteration. iv. relay instrumentation modelingrelays and, in general, ieds use a system of instrument transforme
49、rs to scale the power system voltages and currents into instrumentation level voltages and currents. standard instrumentation level voltages and currents are 67 v or 115 v and 5 a, respectively. these standards were established many years ago to accommodate the electromechanical relays. today, the i
50、nstrument transformers are still in use but because modern relays (and ieds) operate at much lower voltages, it is necessary to apply an additional transformation to the new standard voltages of 10 or 2 v. this means that the modern instrumentation channel consists of typically two transformations a
51、nd additional wiring and possibly burdens. fig. 2 illustrates typical instrumentation channels, a voltage channel and a current channel. note that each component of the instrumentation channel will introduce an error. of importance is the net error introduced by all of the components of the instrume
52、ntation channel. the overallerror can be defined as follows. let the voltage or current at the power system be and , respectively. an ideal instrumentation channel will generate a waveform at the output of the channel that will be an exact replica of the waveform at the power system. if the nominal
53、transformation ratio is and for the voltage and current instrumentation channels, respectively, then the output of an “ideal” system and the instrumentation channel error will bewhere the subscript “out” refers to the actual output of the instrumentation channel. the error waveforms can be analyzed
54、to provide the rms value of the error, the phase error, etc.any relaying course should include the study of instrumentation channels. the virtual power system is used to study the instrumentation error by including an appropriate model of the entire instrumentation channel. it is important to model
55、the saturation characteristics of cts and pts, resonant circuits of ccvts, etc. (see 6). in the virtual power system, models of instrumentation channel components have been developed. the resulting integrated model provides, with precision, the instrumentation channel error.with the use of animation
56、 methods, one can study the evolution of instrumentation errors during transients as well as normal operation.v. protective relay modelingtoday, all new relays are numerical relays. these types of relays can be easily modeled within the virtual power system. consider, for example, a directional rela
57、y. the operation of this relay is based on the phase angle between the polarizing voltage and the current. modeling of this relay then requires that the phase angle between the polarizing voltage and the current be computed. for this purpose, as the power system simulation progresses, the relay mode
58、l retrieves the instantaneous values of the polarizing voltage and the current. a fourier transform is applied to the retrieved data (a running time fourier transform over a user-specified time window). the result will be the phasors of the polarizing voltage and current from which the phase angles
59、are retrieved. the directional element of the relay will trip if the phase angle difference is within the operating region. it should be also self understood that if the relay to be modeled has filters, these filters can be also included in the model.it is important that students be also involved in the design of numerical relays. a typical semester project is to define the functionality of a specific relay and a set of test cases. the student assignment is to develop the code that will mimic the operatio
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