# Time Coordination by Time Adaptive Function Coordinación de Relevadores de Sobrecorriente con Funciones Adaptativas de Tiempo

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2 248 Arturo Conde Enríquez, Ernesto Vázquez Martínez and Juan Carlos Escobar Martínez There are interesting proposals for the introduction of communication channels that allow changing the settings of relays in close to real time for low voltage networs [Shah, et al., 988; Sachdev, et al., 995]. However, in radial networs with one or two sources, such communication systems or other principles of protection imply a significant economic cost, amplified by the great number of radial networs in power systems. The main goal of the coordination process is to find a time function that gives a constant bac-up time delay for any fault current. The proposed relay has a time curve that is similar to the device. The coordination process is automatic between the proposed relay and the overcurrent device (fuse, relay or recloser). Finally, the proposed relay does not require communication channels since the process is handled with the information locally available, that is, at the relay location. 2 Time Coordination The basic idea for time coordination is to satisfy equation () [ANSI/IEEE Std 4, 986] for any current value. ( I ) CTI = () Tbacup T + where T bacup I is the time curve of the overcurrent device, I is the operating current of the device for each sample, and CTI is the coordinating time interval ( s). The operating current of the relay is calculated using the pic-up current of the system device and the fault current I = I / I. T is the time curve of the bac-up relay, ( ) picup The main purpose is to find a time element function bacup T that ensures that the bac-up relay operates with a constant time delay relative to the device, for any fault current. For this to happen, it is necessary that the operation time of the bacup can be determined from the time curve of the. Figure shows the overcurrent relay coordination system. The coordination was done using a computer simulation. is the bac-up relay, and is the relay. By raising the load current (pic-up setting), the bac-up time is increased, although both relays have the same time curve. To obtain the same bac-up time delay (CTI) for all fault currents, two different mechanisms are possible: the first is to change the dial time for each fault current (curves 2, 3 and 4 in Fig. ); and the second a better solution is to change curve 5. Curve 5 is not obtained using a dial time setting of the relay (curve ) due to the load current. In order to change the overcurrent relay time curve, curve 5 needs to change its shape. In Fig., we observed that curve 5 is similar to curve. For this to occur, it is necessary to use the pic-up setting of the device to calculate the operating current. Then the proposed relay emulates the dynamics of the device to obtain a fast bacup time operation. A minimum time curve for the bacup device is obtained, because this is asymptotic to the picup current. By comparing the conventional relay with the proposed relay, the first follows curve 4 whilst the second follows curve 5 of Fig.. A reduction of bacup time is obtained with the proposed relay. On the basis of these results, we considered the pic-up current of the bac-up relay to be only a fault detector.

3 Time Coordination by Time Adaptive Function 249 FI I r s T ( I ) bacup T bacup( I ) CTI 5 T bacup( I ) CTI CTI Fig.. Adaptive time curve of overcurrent relay I (A) The equation describing the proposed relay is obtained. The operating current used is the one in the relay: where : G H = t H ( I ) = ( I ) = T ( I ) + CTI (2) The operating condition [IEEE Std C37.2, 996] is obtained when: G op = t H = ( I ) = (3) The relay operation is complete when = op and equation (3) is satisfied. The infeed current effect in the overcurrent coordination is shown in Fig.. Consider the situation when switch S FI closed. The infeed current I accelerates the operation of the, though the bacup time is the same (equal to the r time of ) and the CTI is bigger. With the coordination proposed the CTI is the same (Curve 5 equal to curve in Fig. ). Under these circumstances the proposed bacup relay is faster than a conventional bacup relay. The off-line computed time curve proposed is calculated using equation (2). If the time curve of the overcurrent device is analytical (digital relays), the setting curve is computed to directly substitute for the function T ( I ). When the characteristic is not available (for example in fuses, electromechanical relays and reclosers), it is possible to calculate analytical expressions using fitting curve algorithms [Sachdev, et al., 995].

4 250 Arturo Conde Enríquez, Ernesto Vázquez Martínez and Juan Carlos Escobar Martínez 3 Coordination The coordination example was carried out in the typical 3.8 V distribution systems shown in Fig. 2. It is not necessary to consider a more complex power system configuration, as the use of a complex power system does not reach an unexpected place. Most scenarios have the same effect on the operating current so the time overcurrent relay coordination process is carried out using pairs of relays. The coordination example is demonstrated in the radial lines with the assistance of the commercial software Aspen Oneliner. We observed that the bac-up time of (section a b) is greater than that of the proposed. Therefore, the coordination proposed allows a rapid time curve to be selected for. The coordination between the proposed and Relay C is carried out in the same relay. Using the time curve (see equation (2)), coordination is automatic; even when there is an increase in the maximum fault current (topology changes or additional power generation), coordination is carried out and setting changes are not necessary. 0 Relay C proposed CTI 2 CTI 0. Busbar Relay C 400 A 600 A Busbar 2 0 a 00 b c 000 I (A) Fig. 2. Time coordination example of overcurrent relays The coordination between the fuse, the proposed relay (B) and the conventional relay (A) is shown in Fig 3. The proposed relay curve is the same (plus CTI) as that of the maximum clearing time fuse curve. The coordination process between the conventional relay and the fuse can be achieved with 2CTI as a coordination interval or directly with the proposed time curve. In Fig. 4, the coordination of a recloser and relay is shown using a 3.8 V radial systems. The proposed coordination is achieved with minimal bac-up time. In the coordination test shown, we have observed that the minimum bac-up time is obtained. In addition, the coordination process occurs with the relay. Following this, coordination between the proposed relay and the overcurrent protection device (such as an electromechanical relay, fuse or recloser) is automatically obtained. The data necessary for coordination of the proposed relay is the data for the voltage system and impedance line. For data protection, the time curve and pic-up of the device are needed. With this information available, coordination is achieved.

5 Time Coordination by Time Adaptive Function 25 A A B Fuse 40 A 0 50 AMP 50 AMP 0. Fuse I (A) Fig. 3. Time coordination example of fuse and overcurrent relay 00 Busbar 0 Recloser 500 A Busbar 2 R 500 A 500 AMP 500 AMP 0. Recloser I (A) Fig. 4. Time coordination example for the recloser and overcurrent relay

7 Time Coordination by Time Adaptive Function 253 includes two steps of the picup current in the relay setting. The level indicator section simulates the dynamics of the dis induction of an electromechanical relay or the accumulated value G in a digital relay. The parameters of the anti-aliasing filter are fixed in the low pass filter section. The recording of the input/output signals is done in a text file. The digital filter results are in the frequency response graphics whilst the input signal and the picup current are displayed graphically in the panel. 5 Test A fault log was used to test the signal file. This two-phase fault was logged in a 34.5-V distribution grid. Figure 7 shows the record of the phase relay event and Table I shows the relay adjustment and its operating time. For the sae of simplicity, the values shown are relative to the system s relay. The picup current of the relay is 90 A and the picup current of the bacup relay is 286 A. As the operating current of the proposed relay is accomplished with the picup current the operating time is modified. The operating time of a conventional relay is calculated by the application (Fig. 6) and verified in Fig. 7. If the adaptive time coordination is used, the operating time is reduced by s. This is a quantitative example of the benefit of the proposed coordination. Table I. Overcurrent relay setting Conventional Proposed I picup =430 A I picup =275 A (at the time of the fault) Moderate inverse curve [IEEE Std C37.2, 996], Dial=0.2 Time= s or Time= s or 42.4 cycles (f=60hz) cycles (f=60hz) Fig. 6. Adaptive relay front panel

8 254 Arturo Conde Enríquez, Ernesto Vázquez Martínez and Juan Carlos Escobar Martínez 3.0x0 4 Va -3.0x x0 3 Ia -5.0x Fig. 7. Fault signal recorded in a 34.5-V distribution networ The time coordination between, and the proposed * (Fig. 8) was evaluated with the application tool (Fig. 6) in a dynamic fault current situation. The fault current signal and the integration process of the overcurrent relays with variable fault currents were obtained in both laboratory tests and by digital simulation. The output of the integrator was recorded. The dynamic fault current (I shortcircuit ) and the integrated value in ( G ), ( G ) and the proposed * ( G bacup bacup* ) are shown in Fig. 9. For all relays, the time curves are inverse type [IEEE Std C37.2, 996]. We observed that the time interval between and is 0.6 s, although the operation time difference between * and is 0.3 s (CTI). This highlights the advantage of the proposed time relay versus a conventional relay in bac-up zones. 0 * * Busbar ΔT 46 A 0 I (A) Fig. 8. Time coordination in laboratory test

9 Time Coordination by Time Adaptive Function s I ( A) bacup G.05 s bacup* G 0.74 s G I shortcircuit G ( pu) Fig. 9. Accumulated value of the relays integrators in laboratory test 6 Conclusions The coordination method presented in this wor requires an analytical expression for the device in the dynamic equation of the proposed relay. With this, the proposed relay emulates the operation of the device to obtain a constant bacup time. This operation time is smaller than the bacup time of conventional relays. The time operation of the other relays (the bac-up of the proposed relay) is also reduced and the final effect in the networ is a reduction of time operation for relays. The main benefits of the proposed coordination process for overcurrent relays by the proposed relay are: the bacup time is independent of the magnitude of the fault current, resulting in a reduced bac-up time compared with a conventional overcurrent relay system; coordination is carried out by the proposed criterion; the coordination is independent of any future system changes (such as topology, generation and load); and the proposed overcurrent relay is obtained with only a small change in the firmware s relay and without any additional cost. 7 References Girgis, A. & Brahma, S. (200). Effect of distributed generation on protective device coordination in distribution system. Power Engineering, 200. LESCOPE '0, Halifax, Canada, So, C.W. & Li, K.K. (2002). Protection relay coordination on ring-fed distribution networ with distributed generations. TENCON '02 Proceedings, 2002 IEEE Region 0 Conference on Computers, Communications, Control and Power Engineering, Beijing, China, 3, Recommended practice for protection and coordination of industrial and commercial power systems. IEEE Buff Boo Std 242, Guide for protective relaying of utility-consumer interconnections. IEEE Std C37.95, Recommended Practice for Electric Power Distribution for Industrial Plants. ANSI/IEEE Std 4, Chen Y., Yin, X., Zhang, Z. & Chen, D. (2003). The research of the overcurrent relays based on phase-tophase differential current -adaptive setting and coordination. Transmission and Distribution Conference and Exposition, 2003 IEEE PES, Dallas, USA,, Tunyagul, T., Crossley, P., Gale, P. & Zhao, J. (2000). Design of a protection relay for use with a measuring CT. Power Engineering Society Summer Meeting IEEE, Seattle, USA, 3,

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