IEEE Electrification - September 2021 - 99

SM Data
Monthly
Billing Data
Spectral
Clustering
CMPC
Calculation
Estimated CMPC for
Unobservable
Customers
Seasonal Typical
Pattern Bank
CMPC
Regression
C1
C1
C1
C1
spr
sum
aut
win
, ... ,
, ... ,
, ... ,
, ... ,
Cn1
spr
Cn2
Cn4
sum
Cn3
aut
win
Pattern
Identification
Determine n1, n2, n3, n4
Davies-Bouldin
Validation Index
Peak Timing Likelihood
Distribution
Context Data
Observable Customers
Figure 7. The flowchart of a weighted clusterwise regression model.
time consuming, especially for large-scale systems with
thousands of overhead lines and underground cables.
Hence, some studies have made efforts to explore datadriven
approaches to capture the inherent dependencies
among field measurements for topology and parameter
identification. Specifically, the term topology identification
refers to finding the connectivity of different nodes in
entire networks. The term parameter identification means
calculating the resistance (R) and reactance (X) of each
branch. In the literature, existing data-driven methods
generally rely on full coverage of μPMUs and the availability
of prior knowledge of the network, such as the R/X
ratios of all branches. The reason for these assumptions is
that a μPMU can provide high-granular phase angle information,
while the prior knowledge of the network can significantly
reduce the search space of the optimization
process. Nevertheless, these assumptions are not necessarily
applicable to practical distribution systems, especially
for old systems that need to perform topology and
parameter identification. To tackle these shortcomings, a
novel two-stage data-driven framework has been proposed
to identify network topology and parameters
separately, using only SM measurements and a low-cost
conductor library.
In the first stage, the procedure of identifying topology
from SM data is cast as a graph theory problem:
how to approximately estimate the weighted Laplacian
matrix of the network. The basic idea is that the
1.2
0.2
0.4
0.6
0.8
1
0 100 200 300
nth Customer
400 500
Estimated Value by Our Method
Real Value
Figure 8. A comparison of the estimated CMPC and the actual value.
IEEE Electrification Magazine / SEPTEMBER 2021
99
× 10-3
Pattern-Context
Data Mapping
Peak Timing Likelihood Distribution
Context Data
Monthly
Billing Data
Unobservable Customers
Weighted Clusterwise
CMPC Regression Model
CMPC (%)

IEEE Electrification - September 2021

Table of Contents for the Digital Edition of IEEE Electrification - September 2021

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