### Abstract

The paper is devoted to a new approach to steady state multiplicity analysis of methyl tert-butyl ether (MTBE) production by means of reactive distillation. Reactive distillation systems are characterized by input and output multiplicities, which may cause complex and unpredictable behavior of the process. The fundamental mathematical model, which enables to reveal potential sources of nonlinearity of the process, is proposed. As the result of input multiplicity analysis, intervals of one steady state were found for vapor and reflux ratio. Output multiplicity analysis showed three possible steady states in the reactive section of the column, one of which is corresponded to the maximal product yield. The advantage of the method is the ability to find "input-output" multiplicities on every stage of the column by using control parameters of the feed, reboiler and condenser only.

Original language | English |
---|---|

Pages (from-to) | 490-498 |

Number of pages | 9 |

Journal | Petroleum and Coal |

Volume | 58 |

Issue number | 4 |

Publication status | Published - 1 Jan 2016 |

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### Keywords

- Mathematical modeling
- MTBE
- Reactive distillation
- Stability analysis
- Steady state multiplicity

### ASJC Scopus subject areas

- Energy(all)

### Cite this

*Petroleum and Coal*,

*58*(4), 490-498.

**Mathematical modeling and steady states multiplicity analysis of methyl tert-butyl ether reactive distillation synthesis.** / Mityanina, Olga E.; Samborskaya, Marina A.; Sabiev, Ayan N.

Research output: Contribution to journal › Article

*Petroleum and Coal*, vol. 58, no. 4, pp. 490-498.

}

TY - JOUR

T1 - Mathematical modeling and steady states multiplicity analysis of methyl tert-butyl ether reactive distillation synthesis

AU - Mityanina, Olga E.

AU - Samborskaya, Marina A.

AU - Sabiev, Ayan N.

PY - 2016/1/1

Y1 - 2016/1/1

N2 - The paper is devoted to a new approach to steady state multiplicity analysis of methyl tert-butyl ether (MTBE) production by means of reactive distillation. Reactive distillation systems are characterized by input and output multiplicities, which may cause complex and unpredictable behavior of the process. The fundamental mathematical model, which enables to reveal potential sources of nonlinearity of the process, is proposed. As the result of input multiplicity analysis, intervals of one steady state were found for vapor and reflux ratio. Output multiplicity analysis showed three possible steady states in the reactive section of the column, one of which is corresponded to the maximal product yield. The advantage of the method is the ability to find "input-output" multiplicities on every stage of the column by using control parameters of the feed, reboiler and condenser only.

AB - The paper is devoted to a new approach to steady state multiplicity analysis of methyl tert-butyl ether (MTBE) production by means of reactive distillation. Reactive distillation systems are characterized by input and output multiplicities, which may cause complex and unpredictable behavior of the process. The fundamental mathematical model, which enables to reveal potential sources of nonlinearity of the process, is proposed. As the result of input multiplicity analysis, intervals of one steady state were found for vapor and reflux ratio. Output multiplicity analysis showed three possible steady states in the reactive section of the column, one of which is corresponded to the maximal product yield. The advantage of the method is the ability to find "input-output" multiplicities on every stage of the column by using control parameters of the feed, reboiler and condenser only.

KW - Mathematical modeling

KW - MTBE

KW - Reactive distillation

KW - Stability analysis

KW - Steady state multiplicity

UR - http://www.scopus.com/inward/record.url?scp=84995595653&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84995595653&partnerID=8YFLogxK

M3 - Article

VL - 58

SP - 490

EP - 498

JO - Petroleum and Coal

JF - Petroleum and Coal

SN - 1337-7027

IS - 4

ER -