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coordination instrument  any means by  or removing, permeable shims between the
                              which the coordinator unit influences behav-  coil and copper jacket. The more shims in
                              ior or decisions of the subordinate (local)  place the slower the magnetic field dissipates,
                              units; coordination instruments are often ex-  hence the longer the time delay becomes.
                              pressed in terms of vectors of values assumed
                              by the coordination variables. In the case of  copper loss  electric loss due to the re-
                              price method, the coordination variables are  sistance in conductors, windings, brush con-
                              the prices by which the interaction input and  tacts or joints, in electric machinery or cir-
                                                                                          2
                              output variables are multiplied.       cuits. Also referred to as I R, the losses are
                                                                     manifested as heat.
                              coordination strategy  mechanism (algo-
                              rithm) used to generate the values of the co-  coprime 2-D polynomial matrices  See
                              ordination instruments in the course of either  coprimeness of 2-D polynomial matrices.
                              iterative or periodic coordination; in case of
                              iterative coordination, the convergence and  coprime 2-D polynomials  See coprime-
                              the speed of convergence of the coordination  ness of 2-D polynomials.
                              strategy is of main concern; in case of peri-
                                                                     coprimeness of 2-D polynomial matrices
                              odic coordination, other issues are important
                                                                     a mathematical relationship of interest in
                              — these can be stability of the coordination
                                                                     control systems.
                              process as well as quantitative aspects of the
                                                                       A2-DpolynomialmatrixC(z 1 ,z 2 )(B(z 1 ,
                              controlled process behavior.
                                                                     z 2 )) is called a right (left) divisor of A(z 1 ,z 2 )
                                                                     if there exists a matrix B(z 1 ,z 2 )(C(z 1 ,z 2 ))
                              coordinator unit  control (decision) agent
                                                                     such that
                              in a hierarchical control structure, being in
                              charge of decisions (control instruments) in-  A (z 1 ,z 2 ) = B (z 1 ,z 2 ) C (z 1 ,z 2 )
                              fluencing operation of the local decision
                              units; coordinator unit performs either itera-  A 2-D polynomial matrix R(z 1 ,z 2 ) (L(z 1 ,
                              tive or periodic coordination of the local de-  z 2 )) is called a common right (left) divisor of
                              cisions; coordinator unit is often regarded as  A(z 1 ,z 2 ), andB(z 1 ,z 2 )ifthereexisttwo2-D
                              the supremal unit of the hierarchical control  polynomial matrices A 1 (z 1 ,z 2 ), B 1 (z 1 ,z 2 ),
                              structure. Also called coordinating unit.  (A 2 (z 1 ,z 2 ), B 2 (z 1 ,z 2 )) such that

                              copolarized   the plane wave whose po-     A (z 1 ,z 2 ) = A 1 (z 1 ,z 2 ) R (z 1 ,z 2 )
                              larization is the same as that of the reference
                              plane wave (e.g., radiated wave from an an-  and
                              tenna) is said to be copolarized (otherwise it
                                                                         B (z 1 ,z 2 ) = B 1 (z 1 ,z 2 ) R (z 1 ,z 2 )
                              is crosspolarized).
                                                                        (A (z 1 ,z 2 ) = L (z 1 ,z 2 ) A 2 (z 1 ,z 2 )
                              copper jacket timer  a magnetic time-off
                                                                     and
                              timer that can be used in definite time DC
                              motor acceleration starters and controllers.  B (z 1 ,z 2 ) = L (z 1 ,z 2 ) B 2 (z 1 ,z 2 ))
                              The copper jacket relay functions by slowing
                              the dissipation of the magnetic field when the  A 2-D polynomial matrix P(z 1 ,z 2 ),
                              coil is turned off. After a certain amount  (Q(z 1 ,z 2 )) is called greatest common right
                              of time the spring tension on the contac-  (left) divisor of A(z 1 ,z 2 ) and B(z 1 ,z 2 ) if
                              tor overcomes the strength of the dissipat-  P(z 1 ,z 2 ) (Q(z 1 ,z 2 )) is a greatest right
                              ing magnetic field — and causes the con-  (left) divisor of A(z 1 ,z 2 ) and B(z 1 ,z 2 ) and
                              tacts to change state. Time delays with the  any common right divisor of A(z 1 ,z 2 ) and
                              copper jacket timer are adjusted by adding,  B(z 1 ,z 2 ) is a right divisor of P(z 1 ,z 2 ).



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