This document discusses methods for analyzing power consumption data to optimize reactive compensation in medium voltage networks. Key steps include collecting measurements over a representative period of time using a low sampling frequency to observe load fluctuations while avoiding interference from existing capacitor banks. A histogram is then generated from the data to roughly assess the probability distribution of reactive power consumption. This allows identifying appropriate capacitor bank sizes to maintain a power factor above 0.95 for over 98% of the time while avoiding potential issues like parallel resonance and harmonic distortion.

1. Consumption
analysis method for
optimizing reactive
compensation MV

2. Essential to take measures

3. reactive power to be
compensated must be chosen
after making a measurement
with a network analyzer?
How many
?

4. Period of
time
“Large enough to be considered as a representative and realistic”

5. < t >
Sampling
frequency
Period of
time
“Use a sampling rate as low as possible to observe more closely
the fluctuations of loads”

6. Seasonality
< t >
Period of
time
Sampling
frequency
“Power consumption may differ depending on the time of year”

7. Existing
capacitor
bank
< t >
Period of
time
Sampling
frequency
Seasonality
“A capacitor bank will interfere with the acquired data and distort
the data collected”

8. Analyzing the measurements

9. A histogram is a graphical representation of
the distribution of numerical data. It is an estimate of
the probability distribution of a continuous variable.
Roughly assess the probability distribution of a given
variable by depicting the frequencies of observations
occurring in certain ranges of values
Histogram

10. Histogram
Measure Histogram Analyze

11. Histogram
Three-phase Inductive reactive power consumption
Measures at 6,6 kV

12. Histogram
Interval size
𝑆 =
𝑋 𝑀𝐴𝑋 − 𝑋 𝑀𝐼𝑁
2 · 𝑁
Maximum value Minimum value
Number of values

13. Histogram
< i >
Interval
Data
Excel
Histogram

14. Histogram
Interval Frequency % accumulated
100 0 0,00%
200 0 0,00%
300 0 0,00%
400 0 0,00%
500 65 11,40%
600 29 16,49%
700 20 20,00%
800 12 22,11%
900 52 31,23%
1000 73 44,04%
1100 66 55,61%
1200 21 59,30%
1300 17 62,28%
1400 115 82,46%
1500 48 90,88%
1600 3 91,40%
1700 23 95,44%
1800 14 97,89%
1900 1 98,07%
2000 3 98,60%
2100 4 99,30%
2200 0 99,30%
2300 1 99,47%
2400 0 99,47%
2500 0 99,47%
2600 3 100,00%
500+1000 kvar

15. Histogram
cos phi above 0,95 more
than 98% of the time

16. Harmonics in the installation

17. Parallel Resonance
𝑓𝑅 = 𝑓 ∙
𝑆𝑆𝐶
𝑄

18. Parallel Resonance
Damage in MV
capacitor due
parallel resonance

19. Parallel Resonance