Next Article in Journal
Effect of 24-Week FIFA 11+ Referees Program on Quality of Change of Direction Maneuver in Elite Soccer Referees
Next Article in Special Issue
On-Site Sensor Sensitivity Adjustment Technique for a Maintenance-Free Heat Flow Monitoring in Building Systems
Previous Article in Journal
Serum Concentrations of IGF-1R, ERK2, and EGFR and Their Clinical Significance in Patients with Neuroendocrine Tumors
Previous Article in Special Issue
Enhancing Weather Forecasting Integrating LSTM and GA
 
 
Font Type:
Arial Georgia Verdana
Font Size:
Aa Aa Aa
Line Spacing:
Column Width:
Background:
Article

Voltage Problems on Farms with Agricultural Biogas Plants—A Case Study

1
Faculty of Electrical Engineering, Bialystok University of Technology, Wiejska 45, 15-351 Bialystok, Poland
2
Department of Agronomy, Modern Technology and Informatics, International Academy of Applied Sciences in Lomza, 18-402 Lomza, Poland
3
University of Social and Economics in Gdansk, ul. Rajska 6, 80-850 Gdansk, Poland
4
Institute of Technology and Life Sciences–National Research Institute, Hrabska 3, 05-090 Falenty, Poland
5
Department of Ophthalmology, Medical University of Bialystok Clinical Hospital, Skłodowskiej-Curie 24A, 15-276 Bialystok, Poland
6
Institute of Economics and Finance, Department of Finance, Division of Public Finance, Banking and Law, Warsaw University of Life Sciences, Nowoursynowska 166, 02-787 Warsaw, Poland
7
Department of Agricultural, Forestry and Transport Machines, University of Life Sciences in Lublin, Głęboka 28, 20-612 Lublin, Poland
*
Author to whom correspondence should be addressed.
Appl. Sci. 2024, 14(16), 7003; https://doi.org/10.3390/app14167003
Submission received: 17 June 2024 / Revised: 25 July 2024 / Accepted: 7 August 2024 / Published: 9 August 2024

Abstract

:
Constructing agricultural microbial gasification plants near livestock farms is essential for technical, economic, and environmental reasons. Utilising substrates from these farms allows for producing electricity, heat, and environmentally friendly manure. However, biogas plants often face technical challenges. This study evaluates the power quality of an agricultural biogas plant on a dairy farm. It was found that the plant was connected via a cable with an insufficient conductor cross-section, leading to significant voltage overshoots exceeding 14.6%, which prevented the activation of the second generator. Both generators could operate after replacing the feed-in cable, but considerable fluctuations in the feed-in voltage persisted. Further measurements indicated the need for changes in the digester design. Specifically, replacing the current two mixers with more lower-powered mixers operating alternately was proposed. Sharing these solutions more broadly can help prevent similar issues in future microbial gas plant constructions and optimise electricity production.

1. Introduction

In recent years, renewable energy generation has become crucial for the sustainable development of countries, regions, and individuals. The use of feedstocks to produce biogas and biomethane holds significant potential, potentially meeting about 20% of the current global gas demand. Agricultural and industrial waste negatively impacts health and the environment, emitting significant greenhouse gases such as methane and nitrous oxide [1,2]. Methane fermentation is one of the most effective technologies for converting organic waste into renewable energy. Agricultural biogas plants help reduce agriculture’s environmental impact, and the digestate obtained from the processed substrates can be effectively used as an organic fertiliser [3,4].
Additionally, biogas can mitigate the harmful effects of fossil fuel use [5], significantly increasing atmospheric CO2 concentrations [6]. Biogas is an alternative energy source that generates electricity, heat, and cooling, and it can replace natural gas derived from fossil fuels [7]. Biogas produced in biogas plants mainly contains methane (CH4) and carbon dioxide (CO2) [8]. It also contains smaller proportions of water, nitrogen, hydrogen sulfide, ammonia, oxygen, siloxanes, and other particles [9]. The composition of biogas depends primarily on the substrates used and the technology employed [10].
When building a biogas plant, the location plays a key role, which mainly depends on the availability of input materials (type of farm), the availability of the electricity grid, and the distance from urbanised areas (due to the potential impact of the biogas plant on noise and odours) [11,12,13]. From the point of view of sustainable agricultural development, the most important are micro biogas plants, built directly on farms and fed with waste (e.g., slurry) generated on the farm. These measures allow for efficient and rational use of resources at an optimal cost level. A farm with a micro biogas plant is seen as modern and environmentally friendly. The profitability of agricultural biogas plants located at cattle farms depends mainly on the price of electricity and on having the capital to purchase and maintain an electrical generator [14,15]. In addition, suitable technical conditions for connecting such an energy source at the location are necessary [16]. As herd size increases, there is a noticeable decrease in the cost of building a biogas plant per cow [17]. When calculating the profitability of an investment in an agricultural biogas plant, the equipment’s maintenance and servicing costs should also be considered [18,19]. Various numerical methods, such as AHP [20], Vikor [21], and the numerical taxonomy method [22], can be used to assess the profitability of the investment. The payback period for the construction of an agricultural microbial gas plant is 6–7 years [23] (investments with a payback of up to 8 years are considered financially beneficial [24,25]). In comparison, the payback for a P.V. plant is within 5–6 years [26].
Agricultural biogas plants enable the generation of electricity heat and cooling and have several other advantages, among which are:
  • the possibility of using biogas as a fuel for internal combustion engines [27];
  • an increase in regional/national energy security through the development of distributed energy [28];
  • a reduction in the cost of disposing of organic waste [29];
  • mitigation of adverse climate change [30];
  • use of local energy resources [31];
  • production of wholesome manure [32].
Despite the apparent increase in biogas production, there is often a lack of relevant knowledge and technology in agriculture [33]. Therefore, an essential action is to broker information from agriculture to the technology industry, covering all legal, environmental, administrative, organisational, and logistical aspects, to implement as many biogas plant projects as possible successfully [34]. Many adverse effects, including financial losses, result from investors’ ignorance, who often violate the basic principles of biotechnology when selecting substrates for their installations [35]. Existing installations are constantly being improved in terms of their production efficiency and environmental impact [6]. The local use of the generated energy avoids the losses associated with the transmission of energy over longer distances [36].
Biogas power plants, being renewable energy sources, are characterised by the stability of the generated power over time (concerning wind or P.V. power plants). Previous authors’ studies on agricultural biogas plants connected to the Polish medium-voltage grid confirm this characteristic [8]. However, there is a lack of analysis in the literature of the results of studies that would present an in-depth analysis of the impact of generation in biogas plants on the voltage of the electrical system supplying consumers installed on farms. Power plants connected to the electricity grid can cause an increase in voltage at their point of connection [37]. This increase in network voltage stresses the insulation of electrical equipment, reducing its service life and, in extreme cases, can damage it [38]. Voltage variability depends on the structure of the grid and the power of the connected power plants [39]. In the case of P.V. plants, as the generation level increases, the number of voltage oscillations increases, which can cause instability—short-term voltage stability is strongly influenced by the disconnection of P.V. generation and the resulting voltage drop [36]. The main factors affecting static voltage stability are the power and location of the sources and how they are controlled [40]. Better voltage stability occurs near the transformer station. The variation in the voltage value depends not only on the actual power generated but also on the quality of the current connections, the length and cross-section of the wires connecting the micro installations to the main switchgear and the resistive parameters of the low-voltage network [41]. When the line is not loaded, and the distributed energy sources operate at total capacity, the voltage at each point in the system is higher than the voltage at the transformer terminals. This situation worsens as one moves away from the transformer. The effect of generation on mains voltage values is described in detail for P.V. systems. It is not easy to find publications that describe the impact of a biogas plant (as a stable energy source) on the voltage parameters of the power grid.
The impact of microbial biogas plants on the parameters of the supply voltage is all the more relevant because, in Poland, farmers with small agricultural biogas plants have reported problems with the operation of specific consumers, including milking clusters. The authors have filled this research gap by conducting a detailed study of one Polish microbial gas plant. The main objective of the research was to analyse the causes of voltage problems on the farm and to propose and apply a possible solution to this issue. Particular analysis was carried out on the parameters determining the quality of electricity generated in the agricultural micro biogas plant. Presenting the proposed solutions to a broader audience may make it possible in the future to avoid mistakes made in the construction of micro gas plants and even influence the companies building their components to optimise the amount and quality of energy fed into the grid.

2. Materials and Methods

The study was conducted at a Polish agricultural biogas plant directly connected to a farm installation. The primary substrate used in this biogas plant was manure from approximately 120 dairy cows. The biogas plant comprises three main facilities: a digester, an engine house, and a digestate tank. The digester had a diameter of 15.5 m and a wall height of 3.7 m, with a total height of 8.7 m, including the biogas tank. During regular operation, the digester held approximately 590 cubic meters of substrate, mixed by two agitators with a rated power of 9 kW. The engine room was constructed as a container housing an internal combustion engine connected to a generator and other technical and control equipment. Biogas purification was achieved using a gas filter and an activated carbon filter. The biogas produced was combusted in two WG1605 combustion engines, each with a power output of 20 kW and an efficiency of 97%. A type 4P/IE2 asynchronous generator, operating at 1500 rpm, was coupled to the engines, which were also equipped with a water-cooling circuit.
The digestate, the post-production biogas material, was stored in an open concrete tank. A schematic of the biogas plant is shown in Figure 1. The biogas plant was connected to the farm’s main meter switchgear via a 198-meter-long YKY 4 × 25 mm2 cable. The farm’s connection power was 40 kW, limited by overcurrent protection C63. The meter switchgear was supplied from the 63 kVA 15/0.4 kV transformer station by a 413 m long overhead line with 50 mm2 conductors. The overhead transformer station was supplied from the main power point of the electricity system by a 6000 m long overhead line made of steel and aluminium conductors with a cross-section of 50 mm2. According to information obtained from the Distribution System Operator, the power system had a short-circuit capacity of 102 MVA.
The owner of the biogas plant reported the following problems with its operation:
Due to voltage exceedances at the agricultural biogas plant’s connection point, it is impossible to run the second generator.
Increasingly frequent cluster malfunction—voltage error displayed.
The slurry stayed in the fermenter for an average of two to three weeks but no less than 12 days. Daily, a portion of the digested slurry (regulated by the biogas pressure sensor) was pumped out of the digester into the digestion tank. When the lower biogas pressure threshold value was exceeded, a new slurry was pumped into the digester (from the collection pit) to replenish the digestate.
Power quality is defined as a set of parameters describing the characteristics of the power supply process to the user under normal operating conditions, characterising the supply voltage, and determining the continuity of the power supply to the consumer. The following parameters describing power quality were analysed in the study [42,43]:
  • Mains frequency is the number of repetitions in the time waveform of the fundamental component of the supply voltage measured over a specified time interval. The frequency deviation is the difference between a given value and the rated frequency value exhibited during regular power system operation over at least a few seconds. The frequency deviation should, in most cases, not exceed +/− 1% of the rated grid frequency.
  • Voltage deviation (slow voltage variation) is the difference between the actual and rated mains voltage values. In most cases, the free voltage variation should not exceed ± 10% of the rated mains voltage value.
  • Voltage fluctuations (rapid changes in voltage). Indicators that characterise voltage fluctuations include:
    -
    The amplitude of voltage fluctuations is expressed as the ratio of the voltage variation value to the rated voltage. In most cases, this value should not exceed 3%,
    -
    frequency of voltage fluctuation amplitudes or, in the case of periodic fluctuations, the frequency of voltage fluctuations;
    Short-term flicker index Pst (index indicating the annoyance of flickering light over a few minutes). Pst = 1 is the conventional threshold for the annoyance of light flicker;
    -
    the long-term flicker index Plt (an index indicating the annoyance of flickering light over a long period, of the order of a few hours). In most cases, the index Plt should not exceed 1. The value of the index is determined from successive values of Pst, according to the relation:
    P l t = i = 1 12 P s t i 3 12 3
    in which Psti (i = 1, 2, 3, ... 12) are successive values of the short-term flicker indices Pst.
  • Voltage asymmetry—unequal voltage values and/or unequal angles between successive phase voltages. The asymmetry of the system of supply voltages results, among other things, in the appearance of symmetrical components of the opposite order. The parameter describing this condition is the voltage asymmetry factor αU% (opposite voltage asymmetry) [36,44]:
    α U % = U _ 2 U _ 1 · 100 %
    where: U1, U2—the composite values of the symmetrical components of the consensual and opposite order of the voltage.
    In most cases, the voltage asymmetry factor should not exceed 2%.
  • The distortion of the voltage waveform, defined by the total harmonic distortion factor (THDU) [45]:
    T H D U = h = 2 U h 2 U 1 · 100 %
    where: U1—rms value of voltage for the first harmonic, Uh—rms value of voltage for the h-th harmonic, h—order of harmonic.
In most cases, the voltage distortion coefficient THDU in low-voltage networks must not exceed 8%.
At the agricultural biogas plant under study, electricity was the primary end product, and its production was maintained at the highest possible level. The tests were carried out using a SONEL PQM-701 portable power quality parameter analyser, performing measurements in accordance with Class A of the EN 61000-4-30 standard [46]. The recorder has a legalisation certificate issued by the Research and Calibration Laboratory in Świdnica. The recording of electricity parameters was carried out with 1-minute averaging and recording of the measurement results. The measurement of voltage/current was carried out with an accuracy of ±0.1% of the rated voltage/current, and the measurement of voltage unbalance with an accuracy of ±0.15% (absolute error). The maximum error of the harmonic measurement was ±0.05% Un for voltage and ±0.15% In for current.

3. Results and Discussion

3.1. Analysis of the Supply Network Parameters of the Agricultural Biogas Plant under Study

The recorded grid frequency values are shown in Figure 2. Although frequent changes in frequency were noted, the maximum deviation from the rated value was slight, not exceeding 0.18%. However, a particular recurring pattern is worth noting: the lowest recorded frequency values occurred in the afternoon during peak electricity network load and increased as the load decreased.
The waveforms of the variation in voltage levels and the percentage deviation of the voltage from the rated voltage recorded during the tests are shown in Figure 3 and Figure 4.
The analysis of the recorded voltage waveforms reveals a cyclic pattern of changes similar to those observed in frequency. Voltage fluctuates with changes in the energy system’s load, decreasing as the load increases. Increases in voltage deviation values accompany these voltage decreases. The voltage varied from approximately 200 V to nearly 260 V. Such significant fluctuations can cause interference with electronic equipment.
The recorded values of the long-term flicker annoyance factor (Plt) are included in Figure 5.
The values of the long-term flicker annoyance index also vary cyclically. The lowest Plt index occurs at night, and the highest in the afternoon. It is usually related to the presence of so-called unstable loads (loads that consume electricity that are significant in value and variable in time) in the power system.
The voltage asymmetry factor also varies cyclically (Figure 6). The recorded waveform usually reaches a maximum in the afternoon, while the minimum occurs at night.
The recorded THDU values for each phase are shown in Figure 7.
The values of the total voltage distortion coefficient recorded at the biogas plant also vary in the diurnal system, mainly due to the cyclic operation of equipment drawing current distorted from the sinusoidal waveform from the grid. The highest values were recorded mainly in the afternoon.
The results of the analysis of the active power levels generated by the agricultural biogas plant are summarised in Figure 8.
Figure 8 and information from the owner indicate that only one turbogenerator is operational at the agricultural biogas plant. The data also show long periods when the biogas plant is not generating electricity (the power is negative). The times when the agitator is running are visible on the waveform, with the recorded power dropping close to zero when the generator is running or around −17 kW when no energy production occurs. Therefore, it can be inferred that one 20 kW generator is necessary to meet the peak needs of the agricultural biogas plant. Without the agitator running, the biogas plant consumes about 1 kW (for control systems, monitoring, etc.).
The inability to switch on the second generator is due to the mains voltage exceeding the permissible value of 253 V. Even with one generator running, voltage exceedances were recorded (Figure 3), causing the generator unit to disconnect from the grid to protect other electrical equipment sensitive to voltage spikes. These voltage overshoots are also evident in the voltage deviation waveform (Figure 4), which repeatedly exceeds the regulatory limit of 10%. To enable the operation of the second generator, an analysis of the power supply system should be conducted to prevent voltage overshoots.

3.2. Analysis of the Feeding System of the Biogas Plant under Study

To carry out the analyses, a computer model of the power supply system for the agricultural biogas plant was created using the Neplan program, a global standard in power system analysis. The system data described in Section 2 were used for the calculations.
The original power supply system for the biogas plant consisted of a 198-meter-long cable line using YKY 4 × 25 mm2. As shown in Figure 9, this cross-section does not ensure that the voltage remains within legal limits. The cable cross-section should be no smaller than 61 mm2 to meet the voltage requirements, with the closest standardised cross-section being 70 mm2. Changing the cross-section of the cable reduces the power loss from 1.82 kW to 0.65 kW. Assuming the biogas plant operates 8400 h annually, this change reduces annual energy losses by 8 MWh. An electricity price of €95/MWh results in an annual cost saving of €760. A cable with a more considerable cross-section costs €23 per meter. Considering only the reduction in power losses on the power cable, the upgrade from a 25 mm2 to a 70 mm2 conductor will pay for itself in 6 years.

3.3. Analysis of the Main Supply Parameters of the Studied Agricultural Biogas Plant after Changing the Supply Cable

The recorded values of the mains frequency after the power system conversion are shown in Figure 10.
Analysing the course of the variation in the frequency value recorded after the power cable change, repeatability analogous to that before the conversion can be observed.
Analysing the recorded voltage waveforms (Figure 11) and voltage deviation (Figure 12), as in the previous case, it is possible to notice a cyclic variation. However, the variations are noticeably more minor—it is much less frequent for the voltage to take values above 250 V, and only one measurement was recorded in which the voltage dropped below 210 V. This is reflected in the voltage deviation values (Figure 12), which were within ±10% of the rated voltage throughout the recorded period.
The unstable operation of the agricultural biogas plant is reflected in the recorded values of the flicker nuisance index (Figure 13). These are nearly three times lower than the values found in the system before the power cable change (Figure 5).
As with the original system, a cyclic variation in the voltage asymmetry factor was also recorded after changing the power cable (Figure 14). This does not show any significant differences in the values achieved, but comparing the two waveforms (Figure 6 and Figure 14), it is clear that the waveform recorded after the power cable change is less ‘jagged’.
As in the original system, the maximum values of the voltage distortion factor occur in the afternoon and evening (Figure 15). However, these values are almost twice as low as the first biogas plant studied.
The maximum changes in the recorded active power values of the agricultural biogas plant after changing the feed cable (Figure 16) were due to the operation of the two digester mixers. Notably, at no point during the measurement did the active power reach the generator’s rated power. This discrepancy was caused by the energy consumption of the equipment installed in the biogas plant.

3.4. Analysis of the Main Supply Parameters of the Studied Agricultural Biogas Plant after Changing the Supply Cable

The value standardised in Polish regulations [42,43] is the 95% quantile. It is defined in the standard [42] as the highest value obtained from 95% of the recording time during a week. A summary of the recorded supply voltage frequency values is shown in Table 1.
A summary of the measured voltage levels in each phase of the system supplying the agricultural biogas plant is shown in Table 2. Several relationships emerge from analysing these values. Noticeable voltage asymmetry exists in the individual phases. The lowest voltage occurred in the third phase, likely due to the asymmetrical connection of single-phase loads to the grid. However, in each phase, the voltage recorded after changing the power cable was lower than that of the primary circuit, translating into voltage deviation values. After the power cable change, although momentary exceedances of the permissible voltage deviation values were registered, the regulatory normal quantile of 95% slightly exceeded 9%. The operation of the biogas plant causes an increase in voltage at its point of connection, which, as seen from the measurements, is kept close to the upper limit allowed by regulations. Switching on the digester mixer reduces generation by almost half, resulting in a drop in voltage values. Turning it off causes the voltage to rise again; this cycle repeats every 30 minutes. This cyclic, step-by-step change in voltage is not beneficial for both the generated electricity’s quality and consumer equipment’s durability. It is mainly noticeable as a change in the intensity of the lighting installed on the farm and can lead to malfunctioning of voltage-sensitive equipment, potentially causing deactivation or even damage.
Table 2 provides the answer to the malfunction of the milking apparatus—its shutdown. Before the power cable was replaced, the lowest recorded voltage value was only 197 V, below the usually accepted voltage limit of 200 V for milking clusters. Consequently, the clusters reported a voltage error and went into emergency mode. After replacing the power cable, the lowest recorded voltage value was 208 V, higher than the minimum value allowed by regulations. As a result, there were no more emergency shutdowns of the consumers during the test period.
A summary of the results of the statistical analysis of the values of the voltage asymmetry coefficient in the power supply system of the biogas plant under study is presented in Table 3. As was shown during the analysis of the recorded waveforms of variation in the asymmetry coefficients, the analysis of the values presented in Table 3 did not reveal any significant differences in the values of this parameter before and after the change of the power supply cable.
A summary of the results of the statistical analysis of the long-term flicker nuisance value (Plt) at the connection point of the agricultural biogas plant during the recording period is presented in Table 4. The values presented there show that the Plt factor in each analysed system exceeds the permissible value (1). However, replacing the power cable reduced the value of the 95% quantile by almost three times.
In the primary system, non-compliance with the voltage distortion requirements from the sinusoidal waveform was observed (Table 5). The maximum THDU value is almost 1.7 times higher than the required (8%) [42,43]. The higher harmonics cause additional voltage and power losses (increased cable heating) in the biogas plant’s power supply system. These overshoots are correlated with voltage drops occurring in the electricity network. Changing the power cable reduced the value of the voltage distortion factor by almost half.
The issue of supply voltage is particularly evident in photovoltaic (P.V.) plants, where increased generation often causes the voltage at the plant’s connection point to exceed current regulatory limits. This challenge arises due to the high prevalence of P.V. systems. On the other hand, agricultural biogas plants, including micro gas plants, are generally considered stable energy sources with minimal voltage issues. However, the authors’ research indicates that these plants can also face difficulties maintaining voltage within regulatory limits. The analysis presented in this article applies to other facilities connected to the low-voltage network.
To determine the maximum connectable power of a source, it is essential to understand the impedance of the supply system and the voltage level maintained at the transformer station and to apply well-known power and voltage loss relationships. The technical solutions proposed in this paper aim to mitigate voltage level issues in micro gas plants. For biogas plants fed by longer lines, more significant, cross-sectional area cables are recommended to reduce voltage drops and power losses.

4. Conclusions

The authors’ investigations revealed that the power supply voltage issues the owner reported were technical. Specifically, the problem with starting the second generator stemmed from an incorrect cable cross-sectional area used to supply the biogas plant. The inadequate cable size led to significant voltage drops, resulting in voltage levels at the connection point that significantly exceeded permissible limits. Replacing the power cable allowed both generators to operate continuously but did not fully resolve the voltage issues.
The operation of the digester mixers caused the most substantial voltage fluctuations. When both mixers ran simultaneously, the power input to the electrical system dropped by an average of approximately 14.2 kW. Increasing the number of mixers while reducing their power ratings is recommended to address this. Additionally, operating the mixers in cycles—where only one mixer runs at a time—would help stabilise power consumption and reduce voltage fluctuations at the biogas plant’s connection point. Lower-powered motors would also minimise inrush currents and reduce voltage variations during startup. The exact number and power rating of the mixers will depend on the size and design of each mixer.
A well-sized agitator should be large enough to mix the fermentation mass thoroughly but small enough to be driven by a less powerful motor. Alternating between lower-powered mixers should mitigate voltage fluctuations caused by the activation and deactivation of individual devices. With appropriately selected mixing components, no significant changes in biogas production efficiency are expected. The authors are researching the optimal parameters for devices (agitator and motor) to maximise efficiency while minimising electricity consumption.
Oversizing the generator capacity (relative to the connection capacity) would cover auto consumption and enable power close to the connection capacity to be fed into the grid. The costs of oversizing the generator, already at the design stage of the biogas plant, are not high compared to the costs incurred when replacing the already installed device. Instead of two generators with a capacity of 20 kW each, it is recommended to install units with a capacity of 22 kW, which follow the manufacturer’s range of biogas generators. At the same time, it is necessary to simulate voltage changes caused by the operation of an agricultural biogas plant already at the design stage. It is also possible to post-measure the network parameters at the planned biogas plant connection point. These measurements allow well-known formulas to determine the maximum connectable power to meet the system’s voltage requirements. It will enable the proper operation of not only the biogas plant itself but also other equipment installed on the farm. Their smooth functioning will be essential regarding sound management’s organisational, financial, and environmental aspects.

Author Contributions

Conceptualisation, A.B. and Z.S.; methodology, Z.S. and M.P.; software, A.M. (Anna Milewska); validation, A.B., Z.S. and W.R.; formal analysis, W.R.; investigation, A.M. (Anna Milewska); resources, A.M. (Andrzej Marczuk); data curation, Z.S. and A.M. (Andrzej Marczuk); writing—original draft preparation, Z.S. and M.P.; writing—review and editing, A.B. and W.R.; visualisation, A.M. (Anna Milewska); supervision, Z.S. and A.M. (Andrzej Marczuk); project administration, W.R. and A.M. (Andrzej Marczuk); funding acquisition, M.P. and A.B. All authors have read and agreed to the published version of the manuscript.

Funding

This research received no external funding.

Informed Consent Statement

Not applicable.

Data Availability Statement

The original contributions presented in the study are included in the article, further inquiries can be directed to the corresponding author.

Conflicts of Interest

The authors declare no conflicts of interest.

References

  1. Monteny, G.-J.; Bannink, A.; Chadwick, D. Greenhouse gas abatement strategies for animal husbandry. Agric. Ecosyst. Environ. 2006, 112, 163–170. [Google Scholar] [CrossRef]
  2. Scheftelowitz, M.; Thrän, D. Unlocking the energy potential of manure-An assessment of the biogas production potential at the farm level in Germany. Agriculture 2016, 6, 20. [Google Scholar] [CrossRef]
  3. Akyürek, Z. Potential of biogas energy from animal waste in the Mediterranean region of Turkey. J. Energy Syst. 2018, 2, 160–167. [Google Scholar] [CrossRef]
  4. Saracevic, E.; Frühauf, S.; Miltner, A.; Karnpakdee, K.; Munk, B.; Lebuhn, M.; Wlcek, B.; Leber, J.; Lizasoain, J.; Friedl, A.; et al. Utilisation of food and agricultural residues for a flexible biogas production: Process stability and effects on needed biogas storage capacities. Energies 2019, 12, 2678. [Google Scholar] [CrossRef]
  5. Friedlingstein, P.; O’sullivan, M.; Jones, M.W.; Andrew, R.M.; Hauck, J.; Olsen, A.; Zaehle, S. Global carbon budget. Earth Sys. Sci. Data 2020, 12, 3269–3340. [Google Scholar] [CrossRef]
  6. Korberg, A.D.; Skov, I.R.; Mathiesen, B.V. The role of biogas and biogas-derived fuels in Denmark’s 100% renewable energy system. Energy 2020, 199, 117426. [Google Scholar] [CrossRef]
  7. Angelidaki, I.; Treu, L.; Tsapekos, P.; Luo, G.; Campanaro, S.; Wenzel, H.; Kougias, P.G. Biogas upgrading and utilisation: Current status and perspectives. Biotechnol. Adv. 2018, 36, 452–466. [Google Scholar] [CrossRef] [PubMed]
  8. Tymińska, M.; Skibko, Z.; Borusiewicz, A. The Effect of Agricultural Biogas Plants on the Quality of Farm Energy Supply. Energies 2023, 16, 4600. [Google Scholar] [CrossRef]
  9. Meneses-Quelal, O.; Velázquez-Martí, B. Pretreatment of animal manure biomass to improve biogas production: A review. Energies 2020, 13, 3573. [Google Scholar] [CrossRef]
  10. Kaltschmitt, M.; Scholwin, F.; Gattermann, H.; Schattauer, A.; Weiland, P. Biogas-Production Utilisation; Institut Für Energetik und Umwelt Gmbh: Leipzig, Germany, 2005. [Google Scholar]
  11. Lansing, S.; Botero, R.; Martin, J.F. Waste treatment and biogas quality in small-scale agricultural digesters. Bioresour. Technol. 2008, 99, 5881–5890. [Google Scholar] [CrossRef]
  12. Czekała, W.; Nowak, M.; Bojarski, W. Anaerobic Digestion and Composting as Methods of Bio-Waste Management. Agric. Eng. 2023, 27, 173–186. [Google Scholar] [CrossRef]
  13. Derehajło, S.; Tymińska, M.; Skibko, Z.; Borusiewicz, A.; Romaniuk, W.; Kuboń, M.; Olech, E.; Koszel, M. Heavy Metal Content in Substrates in Agricultural Biogas Plants. Agric. Eng. 2023, 27, 315–329. [Google Scholar] [CrossRef]
  14. Giesy, R.; Wilkie, A.; De Vries, A.; Nordstedt, R. Economic Feasibility of Anaerobic Digestion To Produce Electricity on Florida Dairy Farms1. EDIS 2006. [Google Scholar] [CrossRef]
  15. Gloy, B.A.; Dressler, J.B. Financial barriers to the adoption of anaerobic digestion on U.S. livestock operations. Agric. Financ. Rev. 2010, 70, 157–168. [Google Scholar] [CrossRef]
  16. Soljan, Z.; Holdyński, G.; Zajkowski, M. Decomposition of the load’s current supplied from a sinusoidal and asymmetrical voltage source in accordance with the Currents’ Physical Components (CPC) Theory. In Proceedings of the 2019 20th International Scientific Conference on Electric Power Engineering (EPE), Kouty nad Desnou, Czech Republic, 15–17 May 2019; Rusek, S., Goňo, R., Eds.; IEEE: Piscataway, NJ, USA, 2019; pp. 389–394. [Google Scholar] [CrossRef]
  17. Klavon, K.H.; Lansing, S.A.; Mulbry, W.; Moss, A.R.; Felton, G. Economic analysis of small-scale agricultural digesters in the United States. Biomass Bioenergy 2013, 54, 36–45. [Google Scholar] [CrossRef]
  18. Larina, Y.; Galchynska, J.; Kucheruk, P.; Zghurska, O.; Ortina, G.; Al-Nadzhar, F.; Marusei, T.; Kuboń, M.; Dzieniszewski, G. Estimation of the Domestic Agricultural Sector Potential for the Growth of Energy Cultures for Bioenergy Fuel Production. Agric. Eng. 2021, 25, 73–82. [Google Scholar] [CrossRef]
  19. Dach, J.; Boniecki, P.; Przybył, J.; Janczak, D.; Lewicki, A.; Czekała, W.; Witaszek, K.; Rodríguez Carmona, P.C.; Cieślik, M. Energetic efficiency analysis of the agricultural biogas plant in 250 kWe experimental installation. Energy 2014, 69, 34–38. [Google Scholar] [CrossRef]
  20. Saaty, T.L.; Vargas, L.G.; Dellmann, K.L. The allocation of intangible resources: The analytic hierarchy process and linear programming. Socioecon. Plann. Sci. 2003, 37, 169–184. [Google Scholar] [CrossRef]
  21. San Cristobal, J.R. Multi-criteria decision-making in the selection of a renewable energy project in Spain: The Vikor method. Renew. Energy 2011, 36, 498–502. [Google Scholar] [CrossRef]
  22. Stoltmann, A.; Bućko, P. Analysis of the Biogas Plant Location Using Analytic Hierarchy Process (ahp) and Numerical Taxonomy Methods-Methods Comparison. Zeszyty Naukowe Wydziału Elektrotechniki i Automatyki Politechniki Gdańskiej Nr 53. 2017. Available online: https://www.google.com/url?sa=t&source=web&rct=j&opi=89978449&url=https://yadda.icm.edu.pl/baztech/element/bwmeta1.element.baztech-291c516d-5758-4f23-815e-62df0afc8864/c/ZN_WEIAPG_53-29.pdf&ved=2ahUKEwjyp4rTxuWFAxU6PxAIHeHoDagQFnoECBsQAQ&usg=AOvVaw1nDzQXR50HzVDrOTZ0pMa1 (accessed on 7 July 2024). (In Polish).
  23. Mazurkiewicz, J. The Impact of Manure Use for Energy Purposes on the Economic Balance of a Dairy Farm. Energies 2023, 16, 6735. [Google Scholar] [CrossRef]
  24. Vilas Bôas, T.F.; Barros, R.M.; Pinto, J.A.; dos Santos, I.F.S.; Lora, E.E.S.; Andrade, R.V.; Tiago Filho, G.L.; Almeida, K.A.; de Oliveira Machado, G. Energy Potential from the Generation of Biogas from Anaerobic Digestion of Olive Oil Extraction Wastes in Brazil. Clean. Waste Syst. 2023, 4, 100083. [Google Scholar] [CrossRef]
  25. Furtado, L.A.; Guerreiro Ribeiro, S.; Pradelle, F.; Parise, J.A.R. Modeling and Techno-Economic Analysis of a Hybrid Sugarcane Plant Fed by Vinasse Biogas and Bagasse Surplus for Electricity Generation. J. Clean. Prod. 2023, 413, 137511. [Google Scholar] [CrossRef]
  26. Wind, Solar Payback Times Under a Year in Some Parts of the World, Says Rystad. Available online: https://www.pv-magazine.com/2022/10/14/wind-solar-payback-times-under-a-year-in-some-parts-of-world-says-rystad/ (accessed on 23 April 2024).
  27. Hagman, L.; Blumenthal, A.; Eklund, M.; Svensson, N. The role of biogas solutions in sustainable biorefineries. J. Clean. Prod. 2018, 172, 3982–3989. [Google Scholar] [CrossRef]
  28. Kuboń, M.; Skibko, Z.; Tabor, S.; Malaga-Toboła, U.; Borusiewicz, A.; Romaniuk, W.; Zarajczyk, J.; Neuberger, P. Analysis of Voltage Distortions in the Power Grid Arising from Agricultural Biogas Plant Operation. Energies 2023, 16, 6189. [Google Scholar] [CrossRef]
  29. Burg, V.; Bowman, G.; Haubensak, M.; Baier, U.; Thees, O. Valorization of an untapped resource: Energy and greenhouse gas emissions benefits of converting manure to biogas through anaerobic digestion. Resour. Conserv. Recycl. 2018, 136, 53–62. [Google Scholar] [CrossRef]
  30. Tamburini, E.; Gaglio, M.; Castaldelli, G.; Fano, E.A. Biogas from Agri-Food and Agricultural Waste Can Appreciate Agro-Ecosystem Services: The Case Study of Emilia Romagna Region. Sustainability 2020, 12, 8392. [Google Scholar] [CrossRef]
  31. Jeung, J.H.; Chung, W.J.; Chang, S.W. Evaluation of Anaerobic Co-Digestion to Enhance the Efficiency of Livestock Manure Anaerobic Digestion. Sustainability 2019, 11, 7170. [Google Scholar] [CrossRef]
  32. Mao, C.; Feng, Y.; Wang, X.; Ren, G. Review on research achievements of biogas from anaerobic digestion. Renew. Sustain. Energy Rev. 2015, 45, 540–555. [Google Scholar] [CrossRef]
  33. Rao, P.V.; Baral, S.S.; Dey, R.; Mutnuri, S. Biogas generation potential by anaerobic digestion for sustainable energy development in India. Renew. Sustain. Energy Rev. 2010, 14, 2086–2094. [Google Scholar] [CrossRef]
  34. Garrison, M.; Richard, T. Methane and Manure: Feasibility Analysis of Price and Policy Alternatives. Trans. ASAE 2005, 48, 1287–1294. [Google Scholar] [CrossRef]
  35. Chen, Y.; Yang, G.; Sweeney, S.; Feng, Y. Household biogas use in rural China: A study of opportunities and constraints. Renew. Sustain. Energy Rev. 2010, 14, 545–549. [Google Scholar] [CrossRef]
  36. Hołdyński, G.; Skibko, Z.; Borusiewicz, A. Analysis of the Influence of Load on the Value of Zero-Voltage Asymmetry in Medium-Voltage Networks Operating with Renewable Energy Sources. Energies 2023, 16, 580. [Google Scholar] [CrossRef]
  37. Alshamrani, A.; Majumder, P.; Das, A.; Hezam, I.M.; Božanić, D. An Integrated BWM-TOPSIS-I Approach to Determine the Ranking of Alternatives and Application of Sustainability Analysis of Renewable Energy. Axioms 2023, 12, 159. [Google Scholar] [CrossRef]
  38. Gonzalez, P.; Romero-Cadaval, E.; Gonzalez, E.; Guerrero, M.A. Impact of grid-connected photovoltaic system in the power quality of a distribution network. In Technological Innovation for Sustainability: Second IFIP WG 5.5/SOCOLNET Doctoral Conference on Computing, Electrical and Industrial Systems, DoCEIS 2011, Costa de Caparica, Portugal, 21-23 February 2011; Proceedings 2; Springer: Berlin/Heidelberg, Germany, 2011; pp. 466–473. [Google Scholar] [CrossRef]
  39. Ma, C.; Xiong, W.; Tang, Z.; Li, Z.; Xiong, Y.; Wang, Q. Distributed MPC-Based Voltage Control for Active Distribution Networks Considering Uncertainty of Distributed Energy Resources. Electronics 2024, 13, 2748. [Google Scholar] [CrossRef]
  40. Uddin, M.; Rahman, M.; Hossain, T.R.; Rahman, H. Assessment by Simulation of Different Topological Integration of Solar Photovoltaic Plants in Medium Voltage Distribution Networks. Pertanika J. Sci. Technol. 2021, 29, 1159–1169. [Google Scholar] [CrossRef]
  41. Alam, S.; Al-Ismail, F.S.; Salem, A.; Abido, M.A. High-Level Penetration of Renewable Energy Sources Into Grid Utility: Challenges and Solutions. IEEE Access 2020, 8, 190277–190299. [Google Scholar] [CrossRef]
  42. EN 50160:2010; Supply Voltage Parameters for Public Distribution Networks. E.U.: Maastricht, The Netherlands, 2010.
  43. Regulation of the Minister of Economy of May 4, 2007, on detailed conditions for the operation of the electric power system (in Poland). Dz.U. 2007 nr 93 poz. 623. Available online: https://isap.sejm.gov.pl/isap.nsf/DocDetails.xsp?id=WDU20070930623 (accessed on 7 July 2024).
  44. Robak, S.; Pawlicki, A.; Pawlicki, B. The analysis of the voltage and current asymmetry in the power transmission lines. Przegląd Elektrotechniczny 2014, 90, 26. [Google Scholar] [CrossRef]
  45. Kosicki, Ł.; Typańska, D. The research of current and voltage distortions generated by luminaries with the light emitting diodes. Electr. Eng. 2017, 92, 215–226. [Google Scholar] [CrossRef]
  46. IEC 61000-4-30:2015+AMD1; 2021 CSV Consolidated Version, Electromagnetic compatibility (EMC)-Part 4-30: Testing and Measurement Techniques-Power Quality Measurement Methods. Available online: https://webstore.iec.ch/en/publication/68642 (accessed on 7 July 2024).
Figure 1. Diagram of the tested agricultural biogas plant. 1—livestock facility, 2—slurry tank, 3—digester with biogas tank, 4—cogeneration unit, 5—digestate tank, 6—agricultural field.
Figure 1. Diagram of the tested agricultural biogas plant. 1—livestock facility, 2—slurry tank, 3—digester with biogas tank, 4—cogeneration unit, 5—digestate tank, 6—agricultural field.
Applsci 14 07003 g001
Figure 2. Frequency value variation recorded at the connection point of an agricultural biogas plant.
Figure 2. Frequency value variation recorded at the connection point of an agricultural biogas plant.
Applsci 14 07003 g002
Figure 3. Voltage variation recorded at the connection point of an agricultural biogas plant.
Figure 3. Voltage variation recorded at the connection point of an agricultural biogas plant.
Applsci 14 07003 g003
Figure 4. Variation in voltage deviation values recorded at the connection point of an agricultural biogas plant.
Figure 4. Variation in voltage deviation values recorded at the connection point of an agricultural biogas plant.
Applsci 14 07003 g004
Figure 5. Variation in the long-term flicker nuisance factor (Plt) recorded at the connection point of an agricultural biogas plant.
Figure 5. Variation in the long-term flicker nuisance factor (Plt) recorded at the connection point of an agricultural biogas plant.
Applsci 14 07003 g005
Figure 6. Variation in the voltage asymmetry factor (αU) recorded at the connection point of the agricultural biogas plant.
Figure 6. Variation in the voltage asymmetry factor (αU) recorded at the connection point of the agricultural biogas plant.
Applsci 14 07003 g006
Figure 7. The course of variation in the total voltage distortion coefficient (THDU) was recorded at the connection point of the agricultural biogas plant.
Figure 7. The course of variation in the total voltage distortion coefficient (THDU) was recorded at the connection point of the agricultural biogas plant.
Applsci 14 07003 g007
Figure 8. The recorded course of variation in the three-phase active power value generated at an agricultural biogas plant.
Figure 8. The recorded course of variation in the three-phase active power value generated at an agricultural biogas plant.
Applsci 14 07003 g008
Figure 9. Dependence of the voltage value (U) occurring at the connection point of an agricultural biogas plant as a function of the cross-sectional area (s) of the working conductor of the supply cable.
Figure 9. Dependence of the voltage value (U) occurring at the connection point of an agricultural biogas plant as a function of the cross-sectional area (s) of the working conductor of the supply cable.
Applsci 14 07003 g009
Figure 10. Frequency variation waveform recorded after changing the power cable.
Figure 10. Frequency variation waveform recorded after changing the power cable.
Applsci 14 07003 g010
Figure 11. Voltage variation waveform recorded after changing the power cable.
Figure 11. Voltage variation waveform recorded after changing the power cable.
Applsci 14 07003 g011
Figure 12. Voltage deviation variation waveform recorded after changing the power cable.
Figure 12. Voltage deviation variation waveform recorded after changing the power cable.
Applsci 14 07003 g012
Figure 13. Variation waveform of the long-term flicker nuisance factor (Plt) recorded after changing the power cable.
Figure 13. Variation waveform of the long-term flicker nuisance factor (Plt) recorded after changing the power cable.
Applsci 14 07003 g013
Figure 14. Variation waveform of the voltage asymmetry factor (αU) recorded after changing the power cable.
Figure 14. Variation waveform of the voltage asymmetry factor (αU) recorded after changing the power cable.
Applsci 14 07003 g014
Figure 15. The waveform of the total voltage distortion coefficient (THDU) variation was recorded after changing the power cable.
Figure 15. The waveform of the total voltage distortion coefficient (THDU) variation was recorded after changing the power cable.
Applsci 14 07003 g015
Figure 16. Recording of the course of the variation in the three-phase active power value generated in an agricultural biogas plant.
Figure 16. Recording of the course of the variation in the three-phase active power value generated in an agricultural biogas plant.
Applsci 14 07003 g016
Table 1. Results of statistical frequency analysis.
Table 1. Results of statistical frequency analysis.
ParameterBefore the ChangesAfter Changes
FrequencyDeviation from Rated ValueFrequencyDeviation from Rated Value
[Hz][%][Hz][%]
Average value49.995−0.01049.996−0.008
Minimum value49.910−0.18049.900−0.200
Maximum value50.0800.16050.0700.140
Quantile 9549.9700.04049.9700.040
Table 2. Results of statistical analysis of tension levels.
Table 2. Results of statistical analysis of tension levels.
ParameterL1 PhaseL2 PhaseL3 Phase
Phase VoltageDeviation from the Rated VoltagePhase VoltageDeviation from the Rated VoltagePhase VoltageDeviation from the Rated Voltage
[V][%][V][%][V][%]
Before the changes
Average value238.9133.452238.1203.109233.0960.934
Minimum value203.260−11.986200.130−13.341197.070−14.666
Maximum value258.65011.999257.12011.336248.8107.738
Quantile 95253.4809.760252.11010.167244.45010.850
After changes
Average value242.6555.073241.3684.515240.1013.967
Minimum value214.320−7.197212.130−8.145208.580−9.682
Maximum value254.12010.037254.28010.106251.7609.015
Quantile 95250.9808.678251.7379.005247.6907.253
Table 3. Results of statistical analysis of voltage asymmetry coefficients.
Table 3. Results of statistical analysis of voltage asymmetry coefficients.
ParameterBefore the ChangesAfter Changes
αUαU
[%][%]
Average value0.3150.350
Minimum value 0.0100.020
Maximum value 1.2301.120
Quantile 95 0.6100.620
Table 4. Results of statistical analysis of the long-term flicker annoyance index values (Plt).
Table 4. Results of statistical analysis of the long-term flicker annoyance index values (Plt).
Before the ChangesAfter Changes
ParameterPltL1PltL2PltL3PltL1PltL2PltL3
Average value2.6882.7622.8870.9931.1411.074
Minimum value1.5401.6201.6900.7200.8300.790
Maximum value3.8403.9604.1602.1801.8301.860
Quantile 953.5003.5803.7671.3841.6911.440
Table 5. Results of statistical analysis of the coefficients of higher harmonic content of voltage—THDU.
Table 5. Results of statistical analysis of the coefficients of higher harmonic content of voltage—THDU.
ParameterBefore the ChangesAfter Changes
THDUL1THDUL2THDUL3THDUL1THDUL2THDUL3
[%][%][%][%][%][%]
Average value4.3663.6414.6932.1141.8211.925
Minimum value 2.3602.0202.8201.2201.0101.010
Maximum value 13.3807.19010.7507.3306.0506.290
Quantile 95 8.5575.4707.5502.7602.5302.700
Disclaimer/Publisher’s Note: The statements, opinions and data contained in all publications are solely those of the individual author(s) and contributor(s) and not of MDPI and/or the editor(s). MDPI and/or the editor(s) disclaim responsibility for any injury to people or property resulting from any ideas, methods, instructions or products referred to in the content.

Share and Cite

MDPI and ACS Style

Skibko, Z.; Borusiewicz, A.; Romaniuk, W.; Pietruszynska, M.; Milewska, A.; Marczuk, A. Voltage Problems on Farms with Agricultural Biogas Plants—A Case Study. Appl. Sci. 2024, 14, 7003. https://doi.org/10.3390/app14167003

AMA Style

Skibko Z, Borusiewicz A, Romaniuk W, Pietruszynska M, Milewska A, Marczuk A. Voltage Problems on Farms with Agricultural Biogas Plants—A Case Study. Applied Sciences. 2024; 14(16):7003. https://doi.org/10.3390/app14167003

Chicago/Turabian Style

Skibko, Zbigniew, Andrzej Borusiewicz, Wacław Romaniuk, Marta Pietruszynska, Anna Milewska, and Andrzej Marczuk. 2024. "Voltage Problems on Farms with Agricultural Biogas Plants—A Case Study" Applied Sciences 14, no. 16: 7003. https://doi.org/10.3390/app14167003

Note that from the first issue of 2016, this journal uses article numbers instead of page numbers. See further details here.

Article Metrics

Back to TopTop