GE Multilin L30 Line Current Differential System 9-19 THEORY OF OPERATION 9.1 OVERVIEW99 THEORY OF OPERATION 9.1OVERVIEW 9.1.1 L30 DESIGNAll differential techniques rely on the fact that under normal conditions, the sum of the currents entering each phase of atransmission line from all connected terminals is equal to the charging current for that phase. Beyond the fundamental dif-ferential principle, the three most important technical considerations are; data consolidation, restraint characteristic, andsampling synchronization. The L30 uses new and unique concepts in these areas.Data consolidation refers to the extraction of appropriate parameters to be transmitted from raw samples of transmissionline phase currents. By employing data consolidation, a balance is achieved between transient response and bandwidthrequirements. Consolidation is possible along two dimensions: time and phases. Time consolidation consists of combininga time sequence of samples to reduce the required bandwidth. Phase consolidation consists of combining information fromthree phases and neutral. Although phase consolidation is possible, it is generally not employed in digital schemes,because it is desired to detect which phase is faulted. The L30 relay transmits data for all three phases.Time consolidation reduces communications bandwidth requirements. Time consolidation also improves security by elimi-nating the possibility of falsely interpreting a single corrupted data sample as a fault.The L30 relay system uses a new consolidation technique called “phaselets”. Phaselets are partial sums of the termsinvolved in a complete phasor computation. The use of phaselets in the L30 design improves the transient response perfor-mance without increasing the bandwidth requirements.Phaselets themselves are not the same as phasors, but they can be combined into phasors over any time window that isaligned with an integral number of phaselets (see the Phaselet Computation section in this chapter for details). The numberof phaselets that must be transmitted per cycle per phase is the number of samples per cycle divided by the number ofsamples per phaselet. The L30 design uses 64 samples per cycle and 32 samples per phaselet, leading to a phaselet com-munication bandwidth requirement of 2 phaselets per cycle. Two phaselets per cycle fits comfortably within a communica-tions bandwidth of 64 Kbaud, and can be used to detect faults within a half cycle plus channel delay.The second major technical consideration is the restraint characteristic, which is the decision boundary between situationsthat are declared to be a fault and those that are not. The L30 uses an innovative adaptive decision process based on anon-line computation of the sources of measurement error. In this adaptive approach, the restraint region is an ellipse withvariable major axis, minor axis, and orientation. Parameters of the ellipse vary with time to make best use of the accuracyof current measurements.The third major element of L30 design is sampling synchronization. In order for a differential scheme to work, the databeing compared must be taken at the same time. This creates a challenge when data is taken at remote locations.The GE approach to clock synchronization relies upon distributed synchronization. Distributed synchronization is accom-plished by synchronizing the clocks to each other rather than to a master clock. Clocks are phase synchronized to eachother and frequency synchronized to the power system frequency. Each relay compares the phase of its clock to the phaseof the other clocks and compares the frequency of its clock to the power system frequency and makes appropriate adjust-ments. As long as there are enough channels operating to provide protection, the clocks will be synchronized.9.1.2 L30 ARCHITECTUREThe L30 system uses a peer to peer architecture in which the relays at every terminal are identical. Each relay computesdifferential current and clocks are synchronized to each other in a distributed fashion. The peer to peer architecture isbased on two main concepts that reduce the dependence of the system on the communication channels: replication of pro-tection and distributed synchronization.Replication of protection means that each relay is designed to be able to provide protection for the entire system, and doesso whenever it has enough information. Thus a relay provides protection whenever it is able to communicate directly withall other relays. For a multi-terminal system, the degree of replication is determined by the extent of communication inter-connection. If there is a channel between every pair of relays, every relay provides protection. If channels are not providedbetween every pair of relays, only those relays that are connected to all other relays provide protection.Each L30 relay measures three phase currents 64 times per cycle. Synchronization in sampling is maintained throughoutthe system via the distributed synchronization technique.The next step is the removal of any decaying offset from each phase current measurement. This is done using a digital sim-ulation of the so-called “mimic circuit” (based on the differential equation of the inductive circuit that generates the offset).Next, phaselets are computed by each L30 for each phase from the outputs of the mimic calculation, and transmitted to the