Introduction

The development of industry and increasing production, thereby increasing the demand for energy, contributes to the use of energy sources other than conventional ones (coal or natural gas). Atmospheric pollution, which is probably the cause of global warming, enforces an economic policy encouraging alternative energy sources that are less harmful to the environment. Use of renewable energy sources has become a significant element of the energy industry; this is a condition imposed by the European Union. In the last few years, it has not just been Polish and foreign researchers that have become interested in the renewable energy sources problem, an area in which a lot of studies have been conducted [15].

Biomass is one of the most available renewable energy sources. Biomass used for energy purposes is mainly wood and wood processing waste, plants derived from energy crops, agricultural products and organic waste, municipal waste and sewage sludge. Biomass is a renewable, CO2-neutral energy resource widely available and increasingly used as an alternative to fossil fuels for energy supply. Combustion is a complex phenomenon involving simultaneous heat and mass transfer with chemical reaction and fluid flow. Using an analogy to coal combustion, the combustion of biomass can be considered as a three stage process: devolatilisation to char and volatiles, and combustion of the volatiles and of the char [6]. The water content is significant and important and in some instances may dominate the biomass combustion process. Pollutant emissions generated by combustion are particular matter (PM), CO, HC, oxides of nitrogen and oxides of sulphur. Nitrogen oxides (NOx) are some of the most important substances resulting from the combustion of fuels. Typical combustion gases contain two kinds of oxides: NO and NO2. Other kinds of nitrogen oxides are N2O, N2O3 and N2O5, but they do not play an essential role. Nitrogen oxides are, environmentally, the most harmful substances which is why researches study how to reduce NOx emissions. This requires knowledge of the mechanisms of the formation and reduction of NOx emissions based on the kinetics of chemical reactions [6]. Carbon oxide is a very harmful substance for living organisms, especially above permissible air emission standards. Carbon oxide, with its property of superseding the oxygen in the oxyhaemoglobin of the blood, forms bonds with the haemoglobin, generating carboxyhaemoglobin leading to suffocation. Sulphur dioxide is considered to be one of the fundamental air pollutants. SO2 is assumed to be the only representative of sulphur oxides in combustion gases (at least 98 % of the total amount of sulphur oxides). During combustion some specific pollutants such as Cl2, HCl, salts, dioxins and furans can occur. The emission of exhaust gases is a significant problem in the combustion of fuels. Numerical simulations using, e.g. CHEMKIN can model of biomass combustion to predict the amount of pollutants generated (NOx, CO, SO2) in the exhaust gases coming from boilers [7].

The most problematic, and still under development, is the waste management and utilisation of municipal sewage sludge. The amount of sewage sludge and its physico-chemical characteristics is an important problem for the operator of a sewage treatment plant. Sludge treatment processes often, in fact, comprise more than 30 % of the cost of operating the entire waste water treatment plant. Until recently, the problem of sludge management has been little observed and appreciated, and it should be noted that, according to the National Waste Management Plan, in 2008 ~567.3 thousand Mg dry mass of sewage sludge was produced [8, 9]. A significant barrier to its disposal is a high degree of hydration of sludge approaching up to 80 %. Municipal sewage sludge is now used for land reclamation, agriculture and the cultivation of plants, some of which is converted into heat and the rest is stored. The latter is the least desirable method of sewage sludge management. According to the National Waste Management Plan, in 2008 of the total mass of sludge produced in municipal waste water treatment plants, almost 92 thousand Mg d.m. (16.1 %) was deposited on Polish territory. Thermal methods require the disposal of sewage sludge drying, stabilization and drainage and preparation of material for the combustion process [10]. Processes of thermal utilisation of sludge can be developed at existing installations (heating plants, power plants or cement plants) or in newly built facilities. There is a large and pressing need for the development of thermal methods for the disposal of sludge. Therefore, thermal processes should be used for the conversion of large quantities of sewage sludge into useful energy. Currently, the new technological solutions are looking for a reduction in CO2, NOx and SOx emissions from energy processes. The co-combustion of biomass with coal is a promising application. In the literature, there are some recent works on the co-combustion of biomass, sewage sludge and coal [1116].

Combustion characteristics of biomass fuels, as well as sewage sludge, have been studied widely using thermo-analytical techniques. The advantages of thermogravimetric analysis are its rapid assessment of the fuel value, the temperatures at which combustion starts and ends, and other characteristics such as maximum reactivity temperature, ash amount and total combustion time. Thermogravimetric analysis is very useful for studying the kinetics of combustion processes [1725]. Thermal methods such as TG, DTG and DTA have been used for studying a variety of areas of combustion. Thermal analysis (TA) determines a set of methods for study of the selected physical properties of the substance under the influence of temperature. Sometimes, simultaneously, the environment (pressure, atmosphere chemical composition) can be changed. Thermogravimetry (TG) is a technique which monitors the sample mass as a function of temperature or time when the sample is subjected to a controlled temperature program. Derivative thermogravimetric (DTG) is based on the rate of mass loss. DTG profiles make it possible to know, for example, the mass loss which is taking place at a temperature during the combustion process. Differential thermal analysis (DTA) enables measuring the thermal effects during the studied process. The obtained peaks correspond with exothermal or endothermal effects. An investigation of gaseous products generated during the heating of sewage sludge material has not been done in wide range as coal or biomass because of its complex composition. This kind of information could help to explain the behaviours of the examined process. To complete thermal research on combustion processes, the mass spectrometry method is necessary. The use of TG and MS techniques allows characterising of gaseous products generated by thermal decomposition in real-time analysis.

The objective of this study has been to study the combustion of biomass and municipal sewage sludge and their co-combustion with coal by TA (TG/DTG/DTA). The results obtained from thermogravimetric analysis were elaborated according to the Kissinger–Akahira–Sunose model. The activation energy and pre-exponential factor were calculated. The mass spectrometry technique was used for identification of gaseous pollutants which form during the combustion process, such as NO, CO, CO2, SO2 and SO3.

Experimental

Materials

Two kinds of biomass and municipal sewage sludge were used in the experiments for this study. The sample of studied coal was from a Polish coalmine and it is commonly exploited in thermal power stations. The biomass fuels were wood biomass (pellets) and agriculture biomass (oat). These two kinds of biomass were chosen, because of their availability in Poland. Wood biomass in its various forms is available on the energy market. Oats are a grain that are grown in Poland in large quantities. In recent years, there has been a strategy involving the use of oats in the direct combustion for energy production, taking into account that they can be combusted in conventional coal-fired boilers. The sewage sludge came from a waste water treatment plant. The biomass and sludge percentage in blends with coal was 10 %.

Fuel analysis

Before thermogravimetric analysis, the fuels were analysed to determine the main properties affecting thermal conversion. The proximate and ultimate analyses, as well as the calorific values of the studied samples were determined (Table 1). The properties include volatile matter, ash, moisture content, heating value and chemical composition were tested in accordance with standards (Polish standards: PN-EN 15403, PN-EN 15400, PN-EN 14774, PN-EN 14775). Metal analysis of the fuels was conducted by inductivity coupled plasma spectrometry and spectrophotometry. The metal contents are reported as oxides (Table 2).

Table 1 Ultimate and proximate analysis (%) of the fuels
Table 2 Ash chemical composition (%) of the fuels and alkali index

Thermogravimetry analysis

Thermogravimetric analysis was carried out using a Mettler Toledo TG/SDTA 851 apparatus. The TG instrument was calibrated with indium, zinc and aluminium. Its accuracy is equal to 10−6 g. For the thermogravimetric analysis (TG/DTG/DTA), the samples were placed in alumina crucible. About 15 mg of sample was heated from an ambient temperature up to 1,000 °C at a constant three rates: 10, 40 and 100 °C min−1 in 40 mL min−1 flow of air. The measurements for each sample had to be done under exactly the same conditions including, for example, the range of temperature, atmosphere, heating rate etc., to determine the most repeatable and precise results. The experiments were replicated to determine their reproducibility, which was found to be very good. TG and DTA curves for each of the fuel samples were obtained as an output. The TG curves represent the instantaneous mass percentage of the tested fuels in contrast to the initial mass. DTA allows for the detection of thermal effects which were accompanied by physical or chemical changes. It consists of recording the temperature difference between the test substance and reference substance (reference) with respect to temperature. The TG, DTG and DTA curves were used in order to assess the thermal characteristics of the fuel samples.

Mass spectrometry analysis

Evolved gaseous products from the decomposition of the studied samples were identified, using a ThermoStar GSD300T Balzers quadruple mass spectrometer (QMS). The mass spectrometer was operated in an electron impact mode (EI) using channeltron as a detector. Screening analyses were performed in a selected-ion monitoring (SIM) mode. The following ions characteristic of each molecules, such as 13, 15, 17, 18, 30, 44, 64, 70 (72) and 80, for CH, CH2, OH, H2O, NO, CO2, SO2, Cl2 and SO3, respectively, were monitored. It is important to notice that the QMS spectrum of mass 17 can represent not only NH3 but also the OH fragment of H2O fragmentation, and 30 can represent NO and C2H6. All of the molecules are gaseous species of particular importance in the combustion process. They are important from the point of view of air pollution as well as energy value.

Kinetic theory

The most important applications of TA are kinetic investigations. Knowledge of kinetic parameters is one of the ways to determining reaction mechanism in solid phases. The kinetic parameters such as activation energy and pre-exponential factor could be obtained by methods for analysing non-isothermal solid-state kinetic. Solid-state kinetic data are the major interest in combustion processes (in technological processes to energy production). The kinetic studies of coal, oil and biomass (wood biomass, sewage sludge etc.) combustion has been studied by many research group [12, 2330]. The most often used methods are FWO, KAS and Kissinger.

Generally, the kinetic of reactions in solid-state are described by equation

$$ \frac{{{\text{d}}\alpha }}{{{\text{d}}t}} = k(T)f(\alpha ), $$
(1)

where α is conversion defined as follows:

$$ \alpha = \frac{{m_{\text{i0}} - m_{\text{a}} }}{{m_{\text{i0}} - m_{\text{f}} }}, $$
(2)

where m i0 is the initial mass of the sample, m a is the actual mass and m f is the mass after combustion.

The rate constant k is determined by the temperature and is given by the Arrhenius equation

$$ k = A {\text{e}}^{{ - \frac{{\text{E}_{\text{a}} }}{\text{RT}}}} , $$
(3)

where R is the gas constant (8.314 kJ mol−1), T is the Kelvin temperature and A (1 min−1), E a the activation energy (kJ mol−1) are constants that are properties of the material. The combination of these two Eqs. (1) and (3) gives the fundamental expression (4) of analytical methods to calculate kinetic parameters, on the basis of the TG results

$$ \frac{{{\text{d}}\alpha }}{{{\text{d}}t}} = Af(\alpha ){\text{e}}^{{ - \frac{{\text{E}_{\text{a}} }}{\text{RT}}}} . $$
(4)

The expression of the function f(α) and its derivative f′(α) = −1 are used to describe solid-state first-order reaction. The equation including reaction order n takes the form

$$ \frac{{{\text{d}}\alpha }}{{{\text{d}}t}} = A(1 - \alpha )^{\text{n}} {\text{e}}^{{ - \frac{{\text{E}_{\text{a}} }}{\text{RT}}}} . $$
(5)

For non-isothermal TG experiments at linear heating rate β = dT/dt, Eq. (5) can be written as

$$ \frac{{{\text{d}}\alpha }}{{{\text{d}}T}} = \frac{A}{\beta } (1 - \alpha )^{\text{n}} {\text{e}}^{{ - \frac{{\text{E}_{\text{a}} }}{\text{RT}}}} . $$
(6)

The Eq. (6) express the fraction of materials conversion in the time.

The Kissinger–Akahira–Sunose method is based on the Eq. (7)

$$ \ln \left( {\frac{{\beta_{\text{i}} }}{{T_{\upalpha {\text{i}}}^{2} }}} \right) = \ln \left( {\frac{{A_{\upalpha } R}}{{E_{{{\text{a}}\upalpha }} g(\upalpha )}}} \right) - \frac{{E_{{{\text{a}}\upalpha }} }}{{RT_{\upalpha {\text{i}}} }}. $$
(7)

The apparent activation energy can be obtained from a plot of ln(β i/T 2αi ) via 1/T for a given value of conversion α, where the slope is equal to −E a/R.

Results and discussion

Fuels analysis

The proximate and ultimate analyses, as well as the calorific values of the studied samples, are presented in Table 1. As it may be seen, these carbonaceous materials have very different properties, but the main combustible component in the tested materials is carbon. The two kinds of biomass used in this study are wood and oat biomasses. The C and H contents of these two kinds of biomass are comparable, as well as their calorific value. Taking into account the chemical composition of sewage sludge some differences are worth mentioning. The 30 % carbon content is two times lower than for coal, and the sulphur content is also lower as compared to coal. The nitrogen content of sewage sludge is the highest among the investigated fuels, so a high NO x emission could be expected. As for ash, this is about thirty times higher for sewage sludge than for oat or wood biomass. When it comes to calorific values, the energy content is widely higher for biomass than for sewage sludge, as can be seen from the high heat values (HHV). The HHV ~12 MJ kg−1 for sewage sludge is two times lower as compared to coal (the coal used here has an HHV around 25 MJ kg−1). Finally, the chemical composition of the investigated materials confirms their relevant properties for the combustion process.

The ash compositions of the studied fuels are presented in Table 2. The chlorines, sulphates and carbonates are not included in the ash balance. The main inorganic elements are Si, Ca, Mg, Fe, Al, Na and K. From Table 2, it can be observed that the principal inorganic constituents are Si, Ca, K, Na and P. The oat and sewage sludge have significantly higher silica content compared to the wood biomass. On the other hand, the content of P2O5 is very high for wood and oat biomasses. The oat ash includes a very high content of K2O, but the lowest content of Na2O. The higher concentration of Fe2O3 in sewage sludge was attributed to the addition of iron compounds used during dewatering in the local sewage sludge treatment plant. Sewage sludge contains, of course, those components that are present in municipal waste and, therefore, trace metals of which levels may be higher than in the raw waste. The sewage sludge ash contains the following trace elements: chromium (0.083 %), copper (0.112 %), lead (0.010 %), mercury (0.002 %) and nickel (0.056 %). It should be noted that in the investigated sludge amount of harmful heavy metals is low.

Alkali metals, chlorine and sulphur released during combustion can cause corrosion. The alkali index is an indicator for fouling and slugging. The alkali index expresses the quantity of alkali oxides in the fuel per unit of fuel energy (kg alkali G/J). It is computed as [2]

$$ (1/Q)Y_{\text{f}}^{\text{a}} (Y_{{{\text{K}}_{2} {\text{O}}}}^{\text{a}} + Y_{{{\text{Na}}_{2} {\text{O}}}}^{\text{a}} ), $$
(8)

Q is the heating value, GJ/kg (the value obtained from a bomb calorimeter), Y af is the mass fraction of ash in the fuels, \( Y_{{{\text{K}}_{2} {\text{O}}}}^{\text{a}} \) and \( Y_{{{\text{Na}}_{2} {\text{O}}}}^{\text{a}} \) are the mass fraction of K2O and Na2O.

Miles and co-workers have suggested that above 0.17 kg GJ−1 fouling is probable, and above 0.34 kg GJ−1 fouling is certain to occur. As can be observed, the alkali index estimated for all the fuels are higher than 0.34 kg GJ−1, which suggest that fouling is certain to occur. Another index using as a measure of the fouling tendency of fuel ash is R b/a. It is the ratio of the basic metal oxides to the acidic oxides in the ash. It is expressed as [2]

$$ R_{{{\text{b}}/{\text{a}}}} = \frac{{\% ({\text{Fe}}_{2} {\text{O}}_{3} + {\text{CaO}} + {\text{MgO}} + {\text{K}}_{2} {\text{O}} + {\text{Na}}_{2} {\text{O}})}}{{\% ({\text{SiO}}_{2} + {\text{TiO}}_{2} + {\text{Al}}_{2} {\text{O}}_{3} )}}. $$
(9)

The R b/a value increases due to the higher concentration of basic components in the ash; it has a tendency for increased potential for slagging [4]. R b/a was calculated without taking into account the content of titanium oxide in the ash. According to the R b/a values calculated for the studied fuels, these were as follows in descending order: wood biomass—2.90, oat biomass—2.69 and sewage sludge—1.52.

Thermogravimetry and mass spectrometry analysis

TG/DTG/MS analysis of fuels

The characteristics of the TG experiments for combustion of the studied fuels and co-combustion of the fuel mixtures are summarised in Table 3. The temperatures at which the maximum mass loss rate occurs are lower for oat and wood biomasses than for sewage sludge. It is also true to say about temperatures that the maximum mass loss rate increases with the increased heating rate. Figures 1 and 2 show the thermogravimetric (TG) and derivative thermogravimetric (DTG) profiles for wood biomass, oat biomass and sewage sludge. Three samples were heated from ambient temperature to 1,000 °C at 10 °C min−1 heating rate. On raising the temperature, combustion of the sample takes place with an associated mass loss, which can be observed in TG and DTG. Comparing the TG curves for all the tested materials, a different character was obtained. The most similar course of TG curves is for wood and oat biomasses. As shown in Fig. 1, the combustion process can be divided into three stages. The first stage corresponded to loss of moisture and very light volatile compounds. The temperature range of the first stage was from ambient temperature to about 200 °C. During this stage, the TG curves for wood biomass, oat biomass and sewage sludge were similar. In the second stage (200–600 °C) a significant drop in mass was observed, caused by the thermal decomposition of hemicellulose, cellulose and lignin in the case of the biomass. Once the temperature was higher than 600 °C mass loss was brought to an end by thermal decomposition. The end of thermal decomposition of the sewage sludge was above 650 °C.

Table 3 Characteristic parameters obtained from DTG and DTA profiles of studied fuels
Fig. 1
figure 1

TG curves for wood biomass, oat biomass and sewage sludge at heating rate 10 °C min−1

Fig. 2
figure 2

DTG curves for wood biomass, oat biomass and sewage sludge at heating rate 10 °C min−1

Mass spectrometry analysis was used to monitor gas emissions, which were identified for all the studied materials. Gaseous emissions upon temperature-programmed combustion in the case of NO, SO2, CO2 and CH4 are shown in Figs. 3, 4, 5 and 6. Nitrogen oxides are one of the groups of chemical species that can harm the environment and compromise human heath as NO x is a primary component of photochemical smog, being partially responsible for corroding metal materials. Two species are identified with m/z value: ethane C2H6 and nitrogen monoxide. In the discussion, it had passed that m/z = 30 correspond to NO. Nitrogen oxide was released during the second stage of combustion of the fuels (200–600 °C). The highest NO concentration was observed during sewage sludge combustion as a consequence of the higher nitrogen content in the material. The NO emission for sewage sludge shows a close relationship with the combustion process; at c.a. 480 °C the highest lost mass took place, which corresponds with NO emission. SO2 is associated with m/z = 64. The SO2 emission is much lower than the CO2 emission during combustion which may be observed by comparing Figs. 4 and 5. On the other hand, SO2 peaks occur at lower temperatures than CO2 peaks for all the fuels. The highest emission of this compound was noted for coal combustion, a result of the elementary composition of the fuel. Only one SO2 peak was observed at about 432 °C. The SO2 emission for sewage sludge was about eight times lower, but emission of gaseous particle monitored occurred at lower temperatures for sludge than for coal. There were two SO2 peaks, the first at 298 °C and the second at 461 °C. In the oat and sewage sludge, the m/z 16 profile exhibits two maximum (Fig. 6). The case of sewage sludge the emission of methane is the highest and takes place at around 490 °C. Figure 7 presented the Cl2 evaluation during heating of studied samples. A relatively large amount of H2O (m/z = 18) was formed for oat sample. The lowest temperature peak reflected the moisture of the samples. The H2O evaluation profile is similar for wood and oat biomasses, what is the consequence of their similar chemical composition (one maximum peak). For sewage sludge, the H2O profile exhibits two visible maxima at around 300 and 474 °C (Fig. 8).

Fig. 3
figure 3

NO emission by mass spectrometry for wood biomass, oat biomass and sewage sludge at 10 °C min heating rate under air atmosphere

Fig. 4
figure 4

CO2 emission by mass spectrometry for wood biomass, oat biomass and sewage sludge at 10 °C min−1 heating rate under air atmosphere

Fig. 5
figure 5

SO2 emission by mass spectrometry for wood biomass, oat biomass and sewage sludge at 10 °C min−1 heating rate under air atmosphere

Fig. 6
figure 6

CH4 emission by mass spectrometry for wood biomass, oat biomass and sewage sludge at 10 °C min−1 heating rate under air atmosphere

Fig. 7
figure 7

Cl2 emission by mass spectrometry for wood biomass, oat biomass and sewage sludge at 10 °C min−1 heating rate under air atmosphere

Fig. 8
figure 8

H2O emission by mass spectrometry for wood biomass, oat biomass and sewage sludge at 10 °C min−1 heating rate under air atmosphere

Effect of heating rate on the combustion process

The TG results obtained from the temperature-programmed combustions of wood biomass, oat biomass and sewage sludge are shown in Figs. 9, 10 and 11 for the different heating rates used (10, 40 and 100 °C min−1). With the increase of heating rate, the TG curves are close to each other for all the investigated materials. For wood biomass, the percentage of mass loss is about 98 % at heating rates of 10 and 100 °C min−1. The maximum mass loss rate was observed at 345 °C at 100 °C min−1. On the other hand, the end of the combustion process had taken place at 10 °C min−1, and after 500 °C the mass had no changed. For oats, the heating rate influence was similar. The TG curves are similarly arranged relative to each other. The percentage of sewage sludge mass loss is about 65 % at heating rates of 10 and 40 °C min−1, while about 63 % at 100 °C min−1, so it can be determined that the heating rate could not affect the residue yield. However, the maximum mass loss rate of the studied fuels increases when the heating rate changes from 10 to 100 °C min−1, so the heating rate could affect the maximum mass loss rate. The most complicated process (TG curve) was observed for sewage sludge, which is a consequence of its complex chemical composition. The increase of heating rate up to 100 °C caused a shift of the combustion process of all fuels in the direction of higher temperatures.

Fig. 9
figure 9

TG curves for wood biomass at 10, 40 and 100 °C min−1 heating rates

Fig. 10
figure 10

TG curves for oats at 10, 40 and 100 °C min−1 heating rates

Fig. 11
figure 11

TG curves for sewage sludge at 10, 40 and 100 °C min−1 heating rates

Co-combustion results of coal and the studied fuels

Appropriate utilisation of renewable energy sources is an essential element of sustainable development. This utilisation depends on the amount of resources and the technology used. It is estimated that, in Poland, the greatest potential for use is biomass, defined as wood waste from wood production and plant biomass. Currently, there are not many electricity-generating units based on combustion of biomass. More popular technologies in energy production are the co-combustion of biomass with coal. A growing environmental awareness and legal restrictions for sewage sludge are encouraging the search for appropriate methods of disposal.

The combustion of sewage sludge and its blends with coal also combines a number of the advantages, which includes a large reduction in sludge volume. To complete the research on the management of biomass and sewage sludge by their thermal processing, it was also deemed appropriate to investigate their co-combustion with coal. Figures 12 and 13 present the combustion profiles for various mixtures (biomass and sewage sludge with coal). The combustion profile corresponding to coal used in the mixtures is also included as a reference. The coal shows typical combustion profiles, with the main peak ranging between 300 and 700 °C with a maximum mass loss rate at 519 °C, the result of thermal decomposition and loss of volatiles, as well as char gasification. The 10 wt% addition of renewable fuel to coal behaves similarly to coal, although some differences were noted. For the wood biomass and coal mixture, additional peaks were observed at 342 and 476 °C. The maximum mass loss rate for all mixtures was c.a. 513 °C, which was higher than for pure coal.

Fig. 12
figure 12

Co-combustion TG curves for 90 % C–10 % WB, 90 % C–10 % O, 90 % C–10 % SS, and combustion TG curve for coal, heating rate 40 °C min−1

Fig. 13
figure 13

Co-combustion DTG curves for 90 % C–10 % WB, 90 % C–10 % O, 90 % C–10 % SS, and combustion TG curve for coal, heating rate 40 °C min−1

Kinetic analysis

Figures 14, 15, 16 and 17 show the plots of ln(β/T 2) via 1/T for different percentages of conversion degrees (α = 0.1–0.8) corresponding to the combustion of coal, wood biomass, oat and sewage sludge, straight lines with the no regular coefficient were obtained. As it may be seen, there is linearity for studied conversion percentage so the energy activation E a may be calculated from the corresponding slope according with kinetic method used. The apparent activation energy was obtained from the slope. Table 4 shows the values of E a calculated by KAS method. The activation energies for coal were in the range of 21.1–145.7 kJ mol−1, for wood biomass 81.1–223.1 kJ mol−1 and for oat 11.9–282.5 kJ mol−1. From all studied fuels, the coal had lower activation energy than biomasses or sewage sludge. It can be concluded that fuel with less complex composition combustions better. The similarity of activation energies of wood biomass and oat results of the nature of these fuels.

Fig. 14
figure 14

Curves for fitting to kinetic model proposed by Kissinger–Akahira–Sunose to various conversion percentage for coal

Fig. 15
figure 15

Curves for fitting to kinetic model proposed by Kissinger–Akahira–Sunose to various conversion percentage for wood biomass

Fig. 16
figure 16

Curves for fitting to kinetic model proposed by Kissinger–Akahira–Sunose to various conversion percentage for oat

Fig. 17
figure 17

Curves for fitting to kinetic model proposed by Kissinger–Akahira–Sunose to various conversion percentage for sewage sludge

Table 4 Values of activation energy E a obtained by KAS method for coal, wood biomass, oat and sewage sludge

Conclusions

The combustion and co-combustion characteristics of commonly used biomass fuels, sewage sludge and coal were studied at different heating rates under air atmosphere. The elementary and proximate analysis of biomass and sewage sludge showed the differences between these materials. Consequently, the corresponding TG and DTG curves were also dissimilar, especially the temperatures of maximum mass loss rate. Activation energy was obtained by KAS model. The experimental results showed that kinetic parameters are in good agreement, and used calculated model can better understand the combustion process. Combustion characteristics of the studied fuels by thermogravimetric analysis and the gas composition analysis from mass spectrometry showed, respectively, the quantitative and qualitative behaviour of these fuels. From this perspective, this study has shown that TG and MS are very useful tools for an initial and quick assessment of these fuels when planning their co-combustion in existing power plants.

Co-combustion of biomass and sewage sludge with alternative fuels is a good and promising waste management alternative. However, it is only with the addition of small amounts of alternative fuels in relation to the total mass of burned fuel that the method does not require additional energy supply.