High-Temperature Reduction and Melting Mechanism of Sinter with Di ﬀ erent MgO Content

: Adding MgO to sinter is considered to be a popular counter measure to cope with the use of high Al 2 O 3 ores. The purpose of this paper is to investigate the e ﬀ ect of the MgO content on the reduction melting behavior in order to clarify the main mechanism of melting and dripping under simulated blast furnace (BF) conditions. It was found that reduction behavior was inhibited with an increased MgO content; the reduction mechanism was further investigated by means of XRD, SEM, and kinetic analysis. The inﬂuence of MgO on the melting mechanism of high basicity sinter was also studied. The softening start temperature and softening temperature increased, and the softening zone increased as a whole with the increased MgO contents from 1.3 to 2.0 wt%. The melting temperature was similar, because the MgO remained in an unslagged state and existed in wustite as FeO-MgO solid solution. The dripping temperature was increased; the main reason for this was that high melting-point slags appeared, and that it was more di ﬃ cult for carburization to occur with increased MgO content. The most appropriate MgO content in the sinter was 1.3 wt% according to principal component analysis (PCA). on the ratio of dripping iron to dripping slag, and (4) the compressive assessment method for evaluation on the high temperature properties of sinter. The results provide a theoretical foundation and experimental reference for the e ﬀ ects of MgO on reduction-melting of high basicity sinter in BF.


Introduction
In recent years, Al 2 O 3 in slag has been improved with an increased imported ore, which is an enormous challenge for blast furnace [1]. To cope with the use of high Al 2 O 3 ores, adding MgO to sinter is considered to be a popular counter measure. The purpose of adding MgO is mainly to guarantee appropriate basicity, increase viscosity, and improve the ability of slag to desulfurization, whereas there is also a negative influence for ironmaking, such as iron ore strength, reduction, and melting-dripping properties. Softening-melting, an important characteristics, can influence the ironmaking process, and the burden of better softening-melting increases the permeability index and ensures smooth operation of blast furnace; therefore, production efficiency is improved and economic benefits are generated.
Some studies have been published on the reduction softening of sinters and pellets [2,3]. Liu et al. investigated the effect of high temperature interaction between sinter and lump ore on the formation behavior of primary-slags, and found that it improved the primary-slags formation behavior of integrated burdens [4]. Advanced reduction under load (ARUL) was used to study the reduction-softening behavior of acid and olivine pellets and basic sinter, which indicated that the reduction softening properties of olivine pellets was better and those of acid pellets were bad [5]. Cheng et al. investigated the effect of Cr 2 O 3 on the reduction and smelting mechanism of high-chromium vanadium-titanium magnetite pellets [6]. The productivity, tumbler strength and coke rate increased with the increased MgO content in sinter; however, the softening and melting properties stayed at the same levels [7]. Li et al. evaluated the effect of MgO and Al 2 O 3 on softening-melting properties of high basicity sinter, and found that the influence of MgO on softening temperature was insignificant compared with Al 2 O 3 [8]. The main

Characterization
In this study, the sinter came from Hansteel of China, and its main chemical composition is shown in Table 1. As can be seen in Table 1, the MgO content in the sinter sample changed from 1.3 to 2.0 wt%, whereas the basicity (R = CaO/SiO 2 ) of all sinter samples was steady at around 1.70, which is a commonly used value. It can be seen that the sinter had a low content of total iron grade. In order to avoid experimental errors, the size of raw materials was uniform: sinter and coke of 10-12 mm diameter were selected by the sieving method. The phase compositions of sinter with different MgO contents were characterized by X-ray diffraction. Figure 1 shown that the main phase components were Fe 3

Characterization
In this study, the sinter came from Hansteel of China, and its main chemical composition is shown in Table 1. As can be seen in Table 1, the MgO content in the sinter sample changed from 1.3 to 2.0 wt%, whereas the basicity (R = CaO/SiO2) of all sinter samples was steady at around 1.70, which is a commonly used value. It can be seen that the sinter had a low content of total iron grade. In order to avoid experimental errors, the size of raw materials was uniform: sinter and coke of 10-12 mm diameter were selected by the sieving method. The phase compositions of sinter with different MgO contents were characterized by X-ray diffraction. Figure 1 shown that the main phase components were Fe3O4, CaO·Fe2O3, MgO·Fe2O3, (CaO)0.54·(FeO)1.46·SiO2, 2FeO·SiO2, and Fe2O3 for all samples. For the sinter with 1.3 wt% MgO, the main phases were Fe3O4, (CaO)0.54·(FeO)1.46·SiO2, 2FeO·SiO2 and Fe2O3. As the MgO content increased from 1.3 to 2.0 wt%, the peak con.

Procedures
The reduction experiment for different MgO sinters was carried out in an apparatus that came from Northeastern University (Boston, MA, USA) and the reduction reactor was 75 mm in diameter. The reduction temperatures were 800 °C, 900 °C and 1000 °C, which were controlled at ±10 °C. In order to clarify the nature of sinter samples under industrial conditions, all tests were operated in a constant reduction atmosphere. The reduction gas was a mixture of CO and N2 (30% CO, 70% N2), which simulated the actual top gas composition prevailing in the blast furnace. The flow of shielding gas was 0.3 m 3 /h, which prevented the sample from being oxidized again.
The softening-melting experiment for different MgO sinters was carried out in the meltingdripping furnace (Kexiang, Anshan, China); the experimental apparatus is shown in Figure 2. The furnace was heated electrically by a U-shape-Super Kanthal with a heating zone of about 600 mm in height where the maximum working temperature could reach 1600 °C. For the experiment, 30 g of

Procedures
The reduction experiment for different MgO sinters was carried out in an apparatus that came from Northeastern University (Boston, MA, USA) and the reduction reactor was 75 mm in diameter. The reduction temperatures were 800 • C, 900 • C and 1000 • C, which were controlled at ±10 • C. In order to clarify the nature of sinter samples under industrial conditions, all tests were operated in a constant reduction atmosphere. The reduction gas was a mixture of CO and N 2 (30% CO, 70% N 2 ), which simulated the actual top gas composition prevailing in the blast furnace. The flow of shielding gas was 0.3 m 3 /h, which prevented the sample from being oxidized again.
The softening-melting experiment for different MgO sinters was carried out in the melting-dripping furnace (Kexiang, Anshan, China); the experimental apparatus is shown in Figure 2. The furnace was heated electrically by a U-shape-Super Kanthal with a heating zone of about 600 mm in height where the maximum working temperature could reach 1600 • C. For the experiment, 30 g of coke was put in the bottom of the crucible and 500 g of sinter was put on the lower coke, together with 90 g of coke on the sinter. After charging, the pressure bar and the charged crucible were put in the melting-dripping tube, and it was verified that the thermocouple was correctly wired. In order to assure the certainty of pressure drop, the melting-dripping tube bottom needed to be sealed well to prevent gas leakage.
Metals 2019, 9, 510 4 of 22 coke was put in the bottom of the crucible and 500 g of sinter was put on the lower coke, together with 90 g of coke on the sinter. After charging, the pressure bar and the charged crucible were put in the melting-dripping tube, and it was verified that the thermocouple was correctly wired. In order to assure the certainty of pressure drop, the melting-dripping tube bottom needed to be sealed well to prevent gas leakage.  Table 2 shows that different researchers used various conditions and sample sizes in their melting-dripping experiments. However, the main gas composition of blast furnace was CO, CO2, N2 and the temperature of blast furnace changed gradually. The experimental conditions in these papers are shown in Figure 3. After the temperature reached 1570 °C, nitrogen gas was added quickly until room temperature was reached, in order to avoid reduction from oxidization. The softening-melting behavior and mechanism were investigated by analysis of chemical compositions and microstructures.   Table 2 shows that different researchers used various conditions and sample sizes in their melting-dripping experiments. However, the main gas composition of blast furnace was CO, CO 2 , N 2 and the temperature of blast furnace changed gradually. The experimental conditions in these papers are shown in Figure 3. After the temperature reached 1570 • C, nitrogen gas was added quickly until room temperature was reached, in order to avoid reduction from oxidization. The softening-melting behavior and mechanism were investigated by analysis of chemical compositions and microstructures.  Figure 3. Experimental conditions for testing melting properties of sinter.
The reduction degree was calculated as the fraction of oxygen removed from the high basicity sinter. However, the oxides containing Mg, Si, and Ca could hardly be reduced under the experimental temperature and atmosphere conditions in the study. Therefore, the reduction degree (α) was generally treated as the mass percentage of oxygen removed from the iron oxides and was evaluated as: where, m1 is the initial mass of high basicity sinters, g, mt is the mass of high basicity sinters after  The reduction degree was calculated as the fraction of oxygen removed from the high basicity sinter. However, the oxides containing Mg, Si, and Ca could hardly be reduced under the experimental temperature and atmosphere conditions in the study. Therefore, the reduction degree (α) was generally treated as the mass percentage of oxygen removed from the iron oxides and was evaluated as: where, m 1 is the initial mass of high basicity sinters, g, m t is the mass of high basicity sinters after reduced time t, g, m 0 is the total mass of theory removed oxygen, g.
In the Equation (1), the total mass of theoretical removed oxygen in the high basicity sinters is evaluated assuming that all the oxygen-bearing iron exists in the form of Fe 2 O 3 , however, some Fe 3 O 4 and FeO is also appeared in the high basicity sinters. The reduction degree should be calculated according to mass loss in the experiment and difference between the ideal oxygen content and measured oxygen content. In the paper, the certain weight of oxygen was calculated based on Fe 2 O 3 , Fe 3 O 4 and FeO exists in the high basicity sinters, and the reduction degree was evaluated according to the Equation ( where m 0 is the mass of samples (g); m 1 is the mass of samples before reduction (g); m t is the mass that samples are reduced after t min (g); W 1 is the percent of wustite (FeO) before reduction (%); W 2 is the percent of TFe before reduction (%).

Analysis Methods
The X-ray diffraction (XRD, X'Pert Pro; PANalyical, Almelo, The Netherlands) for qualitative analysis with monochromatic Cu-Ka X-ray radiation (wavelength = 1.5406 Å) at a setting of 40 kV and 40 mA was used to analyze the minerals phases of different samples. The scanning range was Metals 2019, 9, 510 6 of 22 from 10 • C to 85 • C at a scanning speed of 6 • C/min with a step size of 0.05 • C. The microstructure was observed using scanning electron microscopy with energy dispersive X-ray spectrometer (SEM/EDS; Ultra Plus, Zeiss, Dresden, German) with a Schottky-type field-emission electron source and with resolution rations of 0.8 nm/15 kV and 1.6 nm/1 kV at 20 V to 30 V.

Effect of MgO Content and Reduction Temperature
The reduction degree of sinters with different MgO content is shown in Figure 4a. As can be seen from these results, the MgO content had a clear effect on the reduction of sinter. The reduction degree decreased obviously with increased MgO content from 1.3 to 2.0 wt% at the same reduction time and temperature. In the case of 800, 900 and 1000 • C, the sinter with 1.3 wt% MgO showed the highest reduction degree and that with 2.0 wt% exhibited the lowest reduction degree. The reduction degree was 65.45%, 55.17% and 41.98% with 1.3, 1.7, and 2.0 wt%, respectively at 120 min and 800 • C.
The X-ray diffraction (XRD, X'Pert Pro; PANalyical, Almelo, The Netherlands) for qualitative analysis with monochromatic Cu-Ka X-ray radiation (wavelength = 1.5406 Å) at a setting of 40 kV and 40 mA was used to analyze the minerals phases of different samples. The scanning range was from 10 °C to 85 °C at a scanning speed of 6 °C/min with a step size of 0.05 °C. The microstructure was observed using scanning electron microscopy with energy dispersive X-ray spectrometer (SEM/EDS; Ultra Plus, Zeiss, Dresden, German) with a Schottky-type field-emission electron source and with resolution rations of 0.8 nm/15 kV and 1.6 nm/1 kV at 20 V to 30 V.

Effect of MgO Content and Reduction Temperature
The reduction degree of sinters with different MgO content is shown in Figure 4a. As can be seen from these results, the MgO content had a clear effect on the reduction of sinter. The reduction degree decreased obviously with increased MgO content from 1.3 to 2.0 wt% at the same reduction time and temperature. In the case of 800, 900 and 1000 °C, the sinter with 1.3 wt% MgO showed the highest reduction degree and that with 2.0 wt% exhibited the lowest reduction degree. The reduction degree was 65.45%, 55.17% and 41.98% with 1.3, 1.7, and 2.0 wt%, respectively at 120 min and 800 °C.
The typical reduction curves of isothermally reduced sinters are given in Figure 4b. It can be seen that the reduction degree increased sharply with increased temperature in all cases. The reduction degree was 67.49, 60.59 and 61.59% with 1.3, 1.7 and 2.0 wt%, respectively at 800 °C and 120 min. When the sinter was reduced at

Phase Composition
The phase compositions of sinters with different MgO content are characterized by XRD and the results are shown in Figure 5. The main phase components were Fe, Fe2O3, FeO, and CaO·Fe2O3 for all samples. In the case of 1.3 wt% MgO and 800 °C (Figure 5a), the main phases were FeO, Fe and CaO·Fe2O3 at 60 min. However, as the time increased to 120 min, the intensity of the peaks of Fe2O3, FeO and CaO·Fe2O3 decreased and the diffraction peaks of Fe strengthened gradually. As the reduction temperature increased (Figure 5b), the main phase was only FeO and Fe and other phase compositions for low MgO sinter did  The typical reduction curves of isothermally reduced sinters are given in Figure 4b. It can be seen that the reduction degree increased sharply with increased temperature in all cases. The reduction degree was 67.49, 60.59 and 61.59% with 1.3, 1.7 and 2.0 wt%, respectively at 800 • C and 120 min. When the sinter was reduced at 1000 • C and 120 min, the reduction degree was 81.23 and 72.76% with 1.3 and 2.0 wt% sinter, respectively. The reduction degree was only 38.46, 31.93 and 24.37% with 1.3, 1.7 and 2.0 wt% sinter, respectively at 800 • C and 60 min.

Phase Composition
The phase compositions of sinters with different MgO content are characterized by XRD and the results are shown in Figure 5. The main phase components were Fe, Fe2O3, FeO, and CaO·Fe2O3 for all samples. In the case of 1.3 wt% MgO and 800 °C (Figure 5a), the main phases were FeO, Fe and CaO·Fe2O3 at 60 min. However, as the time increased to 120 min, the intensity of the peaks of Fe2O3, FeO and CaO·Fe2O3 decreased and the diffraction peaks of Fe strengthened gradually. As the reduction temperature increased (Figure 5b

Morphology Change
It is well-known that the microstructure of high basicity sinter is an important factor affecting its reduction. Figure 6 shows SEM images of a polished cross-section of high basicity with different MgO content. It can be seen that these microstructure images changed significantly, and that the main phases were magnesioferrite, calciumferrite and glass phase. For the sinter with 1.3% wt% MgO ( Figure 6a), a homogeneous microstructure with uniform grain size distribution was evident. Further, there was little glass between grains and the magnesioferrite, and they were connected hermetically to each other by calciumferrite.

Morphology Change
It is well-known that the microstructure of high basicity sinter is an important factor affecting its reduction. Figure 6 shows SEM images of a polished cross-section of high basicity with different MgO content. It can be seen that these microstructure images changed significantly, and that the main phases were magnesioferrite, calciumferrite and glass phase. For the sinter with 1.3% wt% MgO (Figure 6a), a homogeneous microstructure with uniform grain size distribution was evident. Further, there was little glass between grains and the magnesioferrite, and they were connected hermetically to each other by calciumferrite. The sinter with 1.7 wt% MgO ( Figure 6b) showed dendrite distribution of calciumferrite across the surface. Compared to Figure 6a, a clear decrease in the calciumferrite amount was observed and the glass phase seemed to be starting to develop. When MgO was increased to 2.0 wt% (Figure 6c), a further decrease in calciumferrite was found, and the magnesioferrite amount and glass phase morphology increased, which caused decreased reducibility and strength of high MgO sinter. Thus, it could be concluded that the added MgO changed the grain morphology of high basicity sinter, and eventually had an effect on the reduction process. It was found that most of CaO that took part in the formation of Ca-ferrites was released as MgO replacing CaO with the increased MgO. Then the released CaO, which could crystallize from the melt in the form of silicate, could take part in forming slag under equilibrium conditions. However, the equilibrium conditions were seldom attained in the sintering process, and a considerable

Softening-Melting Behavior
The softening properties results of different MgO content sinters are shown in Figure 7. The softening start temperature (T10) was defined as the temperature at which shrinkage of samples reached 10%; the softening temperature (T40) was defined as the temperature at which shrinkage of samples reached 40%; the softening zone (T40-T10) was defined as the temperature difference between softening temperature and softening start temperature. From the Figure 7, it can be seen that softening start temperature gradually increased from 1128 °C to 1142 °C and softening temperature increased from 1255 °C to 1288 °C with the increased in the MgO content. The softening zone The sinter with 1.7 wt% MgO (Figure 6b) showed dendrite distribution of calciumferrite across the surface. Compared to Figure 6a, a clear decrease in the calciumferrite amount was observed and the glass phase seemed to be starting to develop. When MgO was increased to 2.0 wt% (Figure 6c), a further decrease in calciumferrite was found, and the magnesioferrite amount and glass phase morphology increased, which caused decreased reducibility and strength of high MgO sinter. Thus, it could be concluded that the added MgO changed the grain morphology of high basicity sinter, and eventually had an effect on the reduction process. It was found that most of CaO that took part in the formation of Ca-ferrites was released as MgO replacing CaO with the increased MgO. Then the released CaO, which could crystallize from the melt in the form of silicate, could take part in forming slag under equilibrium conditions. However, the equilibrium conditions were seldom attained in the sintering process, and a considerable amount of CaO was retained in glass phase [25]. Based on the above reasons, the glass phase was increased with the increased MgO. A detailed discussion of the mechanism of magnesioferrite formation is presented in Section 4.3.

Softening-Melting Behavior
The softening properties results of different MgO content sinters are shown in Figure 7. The softening start temperature (T 10 ) was defined as the temperature at which shrinkage of samples reached 10%; the softening temperature (T 40 ) was defined as the temperature at which shrinkage of samples reached 40%; the softening zone (T 40 -T 10 ) was defined as the temperature difference between softening temperature and softening start temperature. From the Figure 7, it can be seen that softening start temperature gradually increased from 1128 • C to 1142 • C and softening temperature increased from 1255 • C to 1288 • C with the increased in the MgO content. The softening zone increased from 127 • C to above 145 • C with the increased of MgO from 1.3 to 2.0 wt% as whole. The increasing softening start temperature was helpful for the stability of furnace and the process of the gas-solid reducibility reaction. It was shown that the softening zone kept the expanding tendency, and correspondingly the softening index carried the deterioration trend as the softening zone increased adversely influencing the ironmaking and gas-solid reaction. When the MgO was increased, the iron oxide combined with magnesium oxide to formed magnesium iron oxide, which was more difficult to reduce than iron oxide. The high melting point slag of MgO was also increased with the increased MgO contents. For these reasons, the softening start temperature and softening temperature increased with the increased MgO content. It was found that the melting temperatures were similar, 1291 °C with an MgO content of 1.3 wt% and 1312 °C with an MgO content of 2.0 wt%. The suitable melting temperature was helpful to the BF strengthening smelting. The dripping temperature increased from 1447 °C to 1519 °C when the MgO content increased from 1.3 to 2.0 wt%. However, the melting-dripping zone advanced rapidly to a relatively high value above 200 °C, indicating the worsening of the melting-dripping index. The location of the melting-dripping zone moved down and the territory became thicker with the increased MgO content. Therefore, the melting properties of sinter worsened with the increased MgO content.
The results of dripping behavior of sinters with different MgO content are shown in Figure 9. The results indicate that the dripping iron was decreased, whereas the dripping slag was increased with increased MgO content in the sinter. The worse reduction of mixed burden and the generations of high melting point materials dispersed in the slag phase were the primary reasons for the decreased dripping iron. It was found that the melting temperatures were similar, 1291 • C with an MgO content of 1.3 wt% and 1312 • C with an MgO content of 2.0 wt%. The suitable melting temperature was helpful to the BF strengthening smelting. The dripping temperature increased from 1447 • C to 1519 • C when the MgO content increased from 1.3 to 2.0 wt%. However, the melting-dripping zone advanced rapidly to a relatively high value above 200 • C, indicating the worsening of the melting-dripping index. The location of the melting-dripping zone moved down and the territory became thicker with the increased MgO content. Therefore, the melting properties of sinter worsened with the increased MgO content.
The results of dripping behavior of sinters with different MgO content are shown in Figure 9. The results indicate that the dripping iron was decreased, whereas the dripping slag was increased with increased MgO content in the sinter. The worse reduction of mixed burden and the generations of high melting point materials dispersed in the slag phase were the primary reasons for the decreased dripping iron.

Permeability of MgO Sinter
The fluidity and viscosity of slag could influence the permeability of BF due to the liquid phase held up in the dripping zone. To qualify the softening-melting behavior of sinter with different MgO content, the S-value was introduced. When the S-value is smaller, it indicates a better permeability of the sinter. The current S-value was defined as the integral of the pressure-drop function over the melting and dripping temperature interval, which represents the area below the pressure-drop curve, as shown in Equation (4)

Permeability of MgO Sinter
The fluidity and viscosity of slag could influence the permeability of BF due to the liquid phase held up in the dripping zone. To qualify the softening-melting behavior of sinter with different MgO content, the S-value was introduced. When the S-value is smaller, it indicates a better permeability of the sinter. The current S-value was defined as the integral of the pressure-drop function over the melting and dripping temperature interval, which represents the area below the pressure-drop curve, as shown in Equation (4): where P m is the pressure drop at a certain temperature between T D − T S , and ∆P s is the pressure drop at melting temperature T S . The effect of MgO on the permeability of sinter is shown in Figure 10. The S-value, which was increased with the increased MgO, was 937.5, 1468.8 and 1510.6 kPa· • C, respectively. The S-value of sinter increased with the increasing MgO, indicating the permeability of sinter deteriorated with increased MgO. Meanwhile, the shrinking of the softening and melting intervals shows the bad permeability of contained MgO sinter burden. Therefore, the permeability of the sinter was better when the MgO content was 1.3 wt%; the main reason for this was that the liquid of the slag phase was improved with the decreased MgO content.

Permeability of MgO Sinter
The fluidity and viscosity of slag could influence the permeability of BF due to the liquid phase held up in the dripping zone. To qualify the softening-melting behavior of sinter with different MgO content, the S-value was introduced. When the S-value is smaller, it indicates a better permeability of the sinter. The current S-value was defined as the integral of the pressure-drop function over the melting and dripping temperature interval, which represents the area below the pressure-drop curve, as shown in Equation (4): where Pm is the pressure drop at a certain temperature between TD-TS, and ΔP s is the pressure drop at melting temperature TS.
The effect of MgO on the permeability of sinter is shown in Figure 10. The S-value, which was increased with the increased MgO, was 937.5, 1468.8 and 1510.6 kPa·°C, respectively. The S-value of sinter increased with the increasing MgO, indicating the permeability of sinter deteriorated with increased MgO. Meanwhile, the shrinking of

Reduction Kinetic Analysis
The kinetic results obtained were useful to establish the reduction mechanism as follows. The relationship between reduction rate and time can be expressed by the dynamic differential equation of heterogeneous phase system, as shown in Equation (5) [26].
where dα dt is the reduction rate, k(T) is the reaction rate constant, and f (α) is the mode function that describes the reaction mechanism. k(T) is determined by the following the Arrhenius equation, as shown in Equation (6).
where A is pre-exponential factor, E is the apparent activation energy, and R is the gas constant [8.314 J/(mol·K)]. Equation (6) is further expressed as: f (α) was obtained difficultly, and G(α), which is the integral function of f (α), can be described as: Based on the Avami-Erofeev equation [27][28][29], the reduction degree can be expressed by the relationship of time and rate constant: where α is the reduction degree of samples (%) and n is the Avrami exponent. By obtaining the double natural logarithm on either side of the equal sign in Equation (9), we can formulate the following: The value of n is directly related to G(α). In general, the main kinetic model (G(α)) of the reaction can be determined by the value of n. The relationship between n and G(α) is shown in Table 3 [30]. It is worth mentioning that function F 1 (α) represents a first-order reaction with random nucleation. Table 3. The relationship of modal function and judgment index.

Function
Kinetic Model Equation n First-order reaction −ln(1 − α) = kt 1 Figure 11 shows the relationship between lnt and ln(−ln(1 − α)) for sinter with different MgO content, and Table 4 shows the slope of linear fitting and the degree of fitting (R 2 ). The Avrami exponent can be obtained by the slope of the fitted line of lnt against ln(−ln(1 − α)). The degree of fitting was about 0.99, and the results were reasonable. When the MgO content in sinter was increased from 1.3 to 2.0 wt%, the average value of slope was 1.01847, 1.05108 and 0.93926, respectively. The results revealed that n corresponding to 1.3, 1.7 and 2.0 wt% MgO reduction lay at 1.02, 1.05 and 0.94, respectively, indicating the reduction of sinter as described by function F 1 (α) for all samples. was about 0.99, and the results were reasonable. When the MgO content in sinter was increased from 1.3 to 2.0 wt%, the average value of slope was 1ples.  The Arrhenius equation method was used to calculate the activation energy for the obtained activation energy under different reactions. The rate constant k(T) was obtained by finding the plots of G(a) against t, and the fitting results are shown in Figure 12. Table 5 shows the k(T) of the linear fitting and the degree of fitting (R 2 ). It can be seen that the fitting degree of different reactions was higher than 0.99, indicating high accuracy of the fitting result. The reaction rate constant was increased with the increased temperature. The Arrhenius equation method was used to calculate the activation energy for the obtained activation energy under different reactions. The rate constant k(T) was obtained by finding the plots of G(a) against t, and the fitting results are shown in Figure 12. Table 5 shows the k(T) of the linear fitting and the degree of fitting (R 2 ). It can be seen that the fitting degree of different reactions was higher than 0.99, indicating high accuracy of the fitting result. The reaction rate constant was increased with the increased temperature.    The reaction rate constant for temperature was obtained by the Arrhenius equation, which can calculate the activity energy of the chemical reaction, the equal is shown in (11) and (12).
where k is the constant of reaction rate, A is pre-exponential factor, E a is activation energy and T is temperature. The activation energy can be obtained by the slope of fitting of lnk (T) against 1/T in Figure 13, and the activation energy E a and pre-exponential factor are shown in Table 6. The average activation energy was 3.03, 3.14, and 5.39 kJ/mol, and the pre-exponential factor was 0.26, 0.19, and 1.92 min −1 , respectively for 1.3, 1.7 and 2.0 wt %.

Factors Determining Melting Temperature
When the temperature reached Ts, sinters with different MgO content were quenched by N2 and the photos are shown in Figure 14. It can be seen that the morphology was similar for the sinter with 1.3 and 2.0 wt% MgO content. The chemical compositions of different MgO sinters were analyzed at Ts as shown in Table 7. As evident from the results in the tables, (1) Fe ion existed as wustite and metallic iron in sinter, and the wustite amount was more than the metallic iron for sinters with different MgO content; (2) Figure 13. Effect of reduction degree on activation energy. Based on the above analysis, the activation energy of 1.3 wt% MgO was the lowest, indicating that the sinter used the least energy to change from normal to active state prone to chemical reactions, and that of 2.0 wt% MgO was the highest. Therefore, 1.3 wt% MgO had the best reducibility and 2.0 wt% MgO had the worst.

Factors Determining Melting Temperature
When the temperature reached T S , sinters with different MgO content were quenched by N 2 and the photos are shown in Figure 14. It can be seen that the morphology was similar for the sinter with 1.3 and 2.0 wt% MgO content. The chemical compositions of different MgO sinters were analyzed at T S as shown in Table 7. As evident from the results in the tables, (1) Fe ion existed as wustite and metallic iron in sinter, and the wustite amount was more than the metallic iron for sinters with different MgO content; (2) the samples appeared more MgO in T S compared to the original sinter. The reduction degree of sinter was similar for different MgO sinter during T S because the wustite content and metallic iron of the samples were similar.

Factors Determining Melting Temperature
When the temperature reached Ts, sinters with different MgO content were quenched by N2 and the photos are shown in Figure 14. It can be seen that the morphology was similar for the sinter with 1.3 and 2.0 wt% MgO content. The chemical compositions of different MgO sinters were analyzed at Ts as shown in Table 7. As evident from the results in the tables, (1) Fe ion existed as wustite and metallic iron in sinter, and the wustite amount was more than the metallic iron for sinters with different MgO content; (2) Figure 14. Photos during melting temperature. To clarify the influence mechanism of MgO on melting temperature, the sinter sample with 2.0 wt% MgO was further analyzed by SEM and EDS. Figure 15 shows SEM images of a polished crosssection of 2.0 wt% MgO sinter. It is easy to see that it consisted mainly of three phases: white, gray and black phase. According to the EDS analysis, it can be concluded that the white phase was metallic iron, the gray phase was wustite and the black phase was slag. The wustite was formed between the column metallic iron, which was compacted together and surrounded by slag. It can be seen from the energy spectrum analysis that Mg 2+ existed in the wustite, but it did not appear in the slag phase.  To clarify the influence mechanism of MgO on melting temperature, the sinter sample with 2.0 wt% MgO was further analyzed by SEM and EDS. Figure 15 shows SEM images of a polished cross-section of 2.0 wt% MgO sinter. It is easy to see that it consisted mainly of three phases: white, gray and black phase. According to the EDS analysis, it can be concluded that the white phase was metallic iron, the gray phase was wustite and the black phase was slag. The wustite was formed between the column metallic iron, which was compacted together and surrounded by slag. It can be seen from the energy spectrum analysis that Mg 2+ existed in the wustite, but it did not appear in the slag phase. When the temperature reached T S , MgO existed as wustite solid solution, whereas a small quantity of MgO was found in the eutectic structure, in contrast with the other elements. Figure 16 presents the elemental distribution with 2.0 wt% MgO sinter. It show that iron and oxygen were relatively more concentrated, while magnesium was more dispersed in the wustite. The conclusion was further confirmed that MgO existed as wustite solid solution. Therefore, MgO in the sinter had little effect on the melting temperature, and wustite was similar for sinter with different MgO content during T S . For this reason, the melting temperature was similar for different MgO sinter.

Effect of MgO on Dripping Behavior of Sinter
XRD patterns of primary slag with different MgO sinters are shown in Figure 17. It can be seen that the main phase compositions of primary slag were melilite (Ca2(Al,Mg)[(Si,Al)SiO7]), CaMgSi2O6, MgAl2O4 and CaMgSiO4. The peak intensities of melilite (Ca2(Al,Mg)[(Si,Al)SiO7]) and CaMgSi2O6 increased, but the phase of MgAl2O4 decreased with the increased MgO. This was the main reason that the sinter with high MgO content generated higher a The main reason for molten iron dripping was that carburization occurred during the meltingdripping process [9]. To better understand the mechanism of dripping, the dripping iron was analyzed by SEM and EDS as shown in Figure 18. It can be seen that the carbon content decreased with increased MgO content of sinter. The carbon content was 4.17% for sinter with low MgO content, but it was 3.25% for high MgO content. The effect of carbon content on the theoretical melting point is shown in Figure 19. As shown in the figure, the the  The main reason for molten iron dripping was that carburization occurred during the melting-dripping process [9]. To better understand the mechanism of dripping, the dripping iron was analyzed by SEM and EDS as shown in Figure 18. It can be seen that the carbon content decreased with increased MgO content of sinter. The carbon content was 4.17% for sinter with low MgO content, but it was 3.25% for high MgO content. The effect of carbon content on the theoretical melting point is shown in Figure 19. As shown in the figure, the theoretical melting point increased from 1195 • C to 1294 • C with increased MgO content of sinter (from a to b). However, the actual dripping temperature was higher than the theoretical melting point; the main reason for this was that a certain extent of physical concentration of molten iron was not reached. The main reason for molten iron dripping was that carburization occurred during the meltingdripping process [9]. To better understand the mechanism of dripping, the dripping iron was analyzed by SEM and EDS as shown in Figure 18. It can be seen that the carbon content decreased with increased MgO content of sinter. The carbon content was 4.17% for sinter with low MgO content, but it was 3.25% for high MgO content. The effect of carbon content on the theoretical melting point is shown in Figure 19. As shown in the figure, the the  To further understand the distribution of valuable elements, an element analysis was carried out, as shown in Figures 20 and 21. Figure 20 shows element scanning images of Fe, C, Mg, Si and O for dripped metallic iron of 2.0 wt% MgO sinter. As shown in the figure, Fe was the main phase in high-MgO sinter, and only some C could be found in the dripped metallic iron. These results indicate To further understand the distribution of valuable elements, an element analysis was carried out, as shown in Figures 20 and 21. Figure 20 shows element scanning images of Fe, C, Mg, Si and O for dripped metallic iron of 2.0 wt% MgO sinter. As shown in the figure, Fe was the main phase in high-MgO sinter, and only some C could be found in the dripped metallic iron. These results indicate that carburization hardly occurred for high MgO sinter and caused less C to precipitate as shown in Figure 20. On the other hand, Figure 21 shows SEM and element scanning images of Fe, C, Mg, Si and O for dripped metallic iron of the original sinter with MgO of 1.3%. As shown in the figure, Fe was still the main phase in low-MgO sinter, but more C could be found in the dripped metallic iron. The main reason was that the liquidus temperature of metallic iron with high MgO was higher, which was not beneficial for the occurrence of carburization. Then, the amount of "C" in the dripped material was lower, and the amount of "C" precipitated from the iron was also lower (as shown in Figure 20). With the decreased MgO content, the liquidus temperature of iron with low MgO was lower, which was beneficial for the occurrence of carburization. Then, there was more "C" in the metallic iron, and more "C" precipitated from the metallic iron (as shown in Figure 21). Therefore, carbide precipitation resulted in the microstructure shown in Figures 20 and 21. The experimental results were in agreement with the fundamental mechanism. To further understand the distribution of valuable elements, an element analysis was carried out, as shown in Figures 20 and 21. Figure 20 shows element scanning images of Fe, C, Mg, Si and O for dripped metallic iron of 2.0 wt% MgO sinter. As shown in the figure, Fe was the main phase in high-MgO sinter, and only some C could be found in the dripped metallic iron. These results indicate that carburization hardly occurred for high MgO sinter and caused less C to precipitate as shown in Figure 20. On the other hand, Figure 21 shows SEM and element scanning images of Fe, C, Mg, Si and O for dripped metallic iron of the original sinter with MgO of 1.3%. As shown in the figure, Fe was still the main phase in low-MgO sinter, but more C could be found in the dripped metallic iron. The main reason was that the liquidus temperature of metallic iron with high MgO was higher, which was not beneficial for the occurrence of carburization. Then, the amount of "C" in the dripped material was lower, and the amount of "C" precipitated from the iron was also lower (as shown in Figure 20). With the decreased MgO content, the liquidus temperature of iron with low MgO was lower, which was beneficial for the occurrence of carburization. Then, there was more "C" in the metallic iron, and more "C" precipitated from the metallic iron (as shown in Fi  Data of the chemical composition analysis of dripping and residual products for sinter with 1.3 and 2.0 wt% MgO content are shown in Table 8. As evident from the results in the table, (1) the MgO content of dripping and residual product was increased with increased MgO content in the sinter, and the MgO content in the dripping product was greater than in the residual product. (2) It can also be seen that the wustite ratio in the residual product was clearly more than that in the dripping product and it was increased with the increased MgO content in the sinter and the slag containing a larger concentration of MgO could not drip efficiently. For these reasons, the temperature zone of the cohesive zone advanced. Data of the chemical composition analysis of dripping and residual products for sinter with 1.3 and 2.0 wt% MgO content are shown in Table 8. As evident from the results in the table, (1) the MgO content of dripping and residual product was increased with increased MgO content in the sinter, and the MgO content in the dripping product was greater than in the residual product. (2) It can also be seen that the wustite ratio in the residual product was clearly more than that in the dripping product and it was increased with the increased MgO content in the sinter and the slag containing a larger concentration of MgO could not drip efficiently. For these reasons, the temperature zone of the cohesive zone advanced. The dripping iron decreased with the increased MgO content as shown in Figure 9. The main reason was that the magnetite, which was reduced with more difficulty, was increased with increased MgO content as shown in Figure 1. The mechanisms that occur during sintering are proposed and summarized in Figure 22. The added MgO could generate MF((Fe x Mg 1 − x ))O·Fe 2 O 3 ) and make the magnetite (Fe 3 O 4 ) constant [31]. Phase diagrams of MgO-FeO and MgO-Fe 2 O 3 are shown in Figure 23 [32]. It can be seen that the FeO and MgO, which could totally or partially replace in a wide homogenous phase, replaced each other as shown in Figure 23a. The Mg 2+ and Fe 3+ generated at solid solution as shown in Figure 23b. The reoxidation of magnetite to hematite partially appeared with the increased MgO during cooling. For these reasons, hematite decreased and magnetite increased with the increased MgO content. More magnetite caused decreased sinter reducibility, and the metallic iron of melting decreased with the increased MgO.

Comprehensive Assessment Index of Melting Properties
The melting properties of sinter could be improved by the appropriate MgO content and principal component analysis (PCA) was used to analyze the sinter. The purpose of PCA was that data loss was least by linear transformation and by discarding irrelevant information, and finally the

Comprehensive Assessment Index of Melting Properties
The melting properties of sinter could be improved by the appropriate MgO content and principal component analysis (PCA) was used to analyze the sinter. The purpose of PCA was that data loss was least by linear transformation and by discarding irrelevant information, and finally the

Comprehensive Assessment Index of Melting Properties
The melting properties of sinter could be improved by the appropriate MgO content and principal component analysis (PCA) was used to analyze the sinter. The purpose of PCA was that data loss was least by linear transformation and by discarding irrelevant information, and finally the compressive variable was obtained [33]. The method was used to corroborate the composite indicator of sinter, and the appropriate MgO content of sinter was calculated by PCA.
The parameters of the sinters were as follows: Sample amounts = n; observation variable of each sample = p; primitive matrix = X; the eigenvector corresponding to the largest eigenvalue for one dimensional data = P; the compressive assessment index = Y; the process of analysis was as follow: (1) The original data can constitute the primitive matrix, for which the data were T 10 , T 40 , T S , T d , T S − T D and dripping iron. The primitive matrix is shown in Equation (13).
(2) In order to data standardization, the primitive matrix was calculated by normalization and the average value of the disposing matrix turned to zero.
(3) The covariance matrix was defined as generalization from random variables of scalar to high dimensional.
(4) The corresponding eigenvector of the maximum eigenvalue was selected as the matrix of dimensionality reduction as shown in (14).
The comprehensive assessment index is shown in Figure 24. It indicates that the compressive assessment index of the melting properties of different MgO sinter is decreased with increasing MgO content. The compressive assessment index achieves the maximum (49.99) during the MgO content in sinter is 1.3 wt%. Therefore, the index of sinter is optimized when the MgO content is 1.3 wt%. Given the utilization of low-price iron-bearing materials and the improvement of melting properties, the scheme of sinter is optimal when the MgO content in sinter is around 1.3 wt%.
The comprehensive assessment index is shown in Figure 24. It indicates that the compressive assessment index of the melting properties of different MgO sinter is decreased with increasing MgO content. The compressive assessment index achieves t

Conclusions
The effect of MgO on the reduction-melting mechanism of high basicity sinters was investigated in the present paper. The following conclusions can be drawn: (1) It was found that MgO had an obvious effect on the reduction of high basicity sinters. With an increased MgO content from 1.3 to 2.0 wt%, the reduction degree was obviously decreased, and through XRD, SEM, and kinetics analysis, the reduction mechanism was further investigated. The kinetics analysis indicated that the reaction corresponded to the modal function of F1 (α) and the integral form was −ln(1−α) = kt, and the average activation energy was 5.39, 3.14 and 3.03 kJ/mol, respectively for MgO contents of 2.0, 1.7 and 1.3 wt%.
(2) With increased MgO content, the melting behavior of sinter became worse. When the MgO content in sinter was increased from 1.3 to 2.0 wt%, the softening start temperature (T10) increased from 1128 °C to 1142 °C, the softening temperature (T40) increased from 1255 °C to 1288 °C, TS was similar between 1290 °C and 1300 °C, and TD increased from 1447 °C to 1519 °C. The melting temperature zone increased from 156 °C to 207 °C.
(3) The reasons for similar TS (melting start temperature) value was that: MgO existed as wustite solid solution, whereas a small quantity of MgO was found in the eutectic structure compared to other elements. The reasons for TD increase (with the increase of MgO content in sinter) were the high point slag and the decreased carbon content in molten iron.
(4) Principal component analysis (PCA) was used to analyze the sinter; the higher content MgO sinter, the higher compressive assessment index.

Conclusions
The effect of MgO on the reduction-melting mechanism of high basicity sinters was investigated in the present paper. The following conclusions can be drawn: (1) It was found that MgO had an obvious effect on the reduction of high basicity sinters. With an increased MgO content from 1.3 to 2.0 wt%, the reduction degree was obviously decreased, and through XRD, SEM, and kinetics analysis, the reduction mechanism was further investigated. The kinetics analysis indicated that the reaction corresponded to the modal function of F 1 (α) and the integral form was −ln(1 − α) = kt, and the average activation energy was 5.39, 3.14 and 3.03 kJ/mol, respectively for MgO contents of 2.0, 1.7 and 1.3 wt%.
(2) With increased MgO content, the melting behavior of sinter became worse. When the MgO content in sinter was increased from 1.3 to 2.0 wt%, the softening start temperature (T 10 ) increased from 1128 • C to 1142 • C, the softening temperature (T 40 ) increased from 1255 • C to 1288 • C, T S was similar between 1290 • C and 1300 • C, and T D increased from 1447 • C to 1519 • C. The melting temperature zone increased from 156 • C to 207 • C.
(3) The reasons for similar T S (melting start temperature) value was that: MgO existed as wustite solid solution, whereas a small quantity of MgO was found in the eutectic structure compared to other elements. The reasons for T D increase (with the increase of MgO content in sinter) were the high point slag and the decreased carbon content in molten iron.
(4) Principal component analysis (PCA) was used to analyze the sinter; the higher content MgO sinter, the higher compressive assessment index.
Author Contributions: H.G. and X.J. contributed to the material synthesis, performed the experiments, material characterization, and data analysis, and wrote the paper; F.S. revised the paper and refined the language; Q.G. and H.Z. contributed to the design of the experiment.