Stability regions

Thus, in the leading mode the machine tends to become unstable. It is therefore mandatory to operate the machine well within its stability region, i.e. between 0.8 p.f. lagging and unity, unless it is also designed for a leading mode. Every machine has its own operating parameters as shown in Figure 24.9. To obtain its best performance, it must be operated within these parameters. 

In this chapter we present various computational methods for studying the structure and stability regions of various phases within the basic and the extended LG models of the ternary surfactant mixtures. In particular we use ... 

We present the pe/pH diagram for the sulfur system in Fig. 5-3, which represents the sulfur system for a total sulfur concentration of 0.010 M. Note that as sulfur concentration decreases, the curve for pas will displace upward and the curve for pe4 will displace downward. The stability region for S(0) will be decreased and may even vanish. 

From a detailed analysis of the stability regions in the alloy series MR Rh3Bi y and Er(Rh, yM,)3B y the formation of the perovskite structure was discussed in terms of a stabilizing charge transfer (B as electron donor) and a corresponding characteristic VEC, 31 < VEC < 34. 

FIGURE 13.7 Performance of a laminar flow, tubular reactor for the bulk polymerization of styrene Tin = 35°C and F = 1 h. (a) Stability regions, (b) Monomer-conversion within the stable region. 

Takahashi, R, Mizomoto, M., and Ikai, S., Structure of the stabilizing region of a laminar jet diffusion flame, /. Heat Transfer, 110,182,1988. 

It is considered useful to include here the potential-pH diagram for some redox systems related to oxygen (Fig. 2.1) [4]. Lines 11 and 33 correspond to the (a) and (b) dashed lines bounding the stability region of water, as depicted in all the subsequent Pourbaix diagrams. 

The different stability regions are shown schematically in Figure 5 and in subsequent discussion reference will be made to the regions indicated in this Figure. These results show that the two CCC values are sensitive both to temperature and to particle concentration and there exist critical points of particle concentration and temperature where either region II could be stabilized or region III destabilized which finally results in only one CCC value. 

In an equilibrium study of the adsorption of molybdenum(VI) from aqueous solution onto activated carbon it has been found that the data are best explained in terms of an absorption model comprising the three species [HMo207] , Mo03(H20)3, and [HMo04] of which the dimer predominates by far (80). Computer treatment of potentiomet-ric (81) and spectrophotometric data (82) also indicated the possible existence of [HMo207] as a minor species in aqueous solution at low molybdenum concentration ( 2 X 104 Af). However, as its assumed stability region overlaps with several other polynuclear ions more direct evidence is needed before its existence can be accepted with certainty. 

Models of hot isentropic neutron stars have been calculated by Bisnovatyi-Kogan (1968), where equilibrium between iron, protons and neutrons was calculated, and the ratio of protons and neutrons was taken in the approximation of zero chemical potential of neutrino. The stability was checked using a variational principle in full GR (Chandrasekhar, 1964) with a linear trial function. The results of calculations, showing the stability region of hot neutron stars are given in Fig. 7. Such stars may be called neutron only by convention, because they consist mainly of nucleons with almost equal number of neutrons and protons. The maximum of the mass is about 70M , but from comparison of the total energies of hot neutron stars with presupemova cores we may conclude, that only collapsing cores with masses less that 15 M have... 

Fig. 4.43 shows for all such combinations the curves corresponding to a constant average group number (in a way, isoelectronic lines). Notice that their shapes are, more or less, similar to that of the boundary lines, shown in the previous figures for the various phase stability regions. 

Fig. 4.33. Stability diagram for a linear quadrupole analyzer showing four stability regions (I-IV) for X- and y-motion. Reproduced from Ref. [109] with permission. John Wiley Sons Inc., 1986.

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