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Harmonic balance is a method used to calculate the steady-state response of nonlinear differential equations, [1] and is mostly applied to nonlinear electrical circuits. [ 2 ] [ 3 ] [ 4 ] It is a frequency domain method for calculating the steady state, as opposed to the various time-domain steady-state methods.
A harmonic balancer (sometimes called crankshaft damper, torsional damper, or vibration damper) is the same thing as a harmonic damper except that the balancer includes a counterweight to externally balance the rotating assembly. The harmonic balancer often serves as a pulley for the accessory drive belts turning the alternator, water pump and ...
Anyway, using the homotopy analysis method or harmonic balance, one can derive a frequency response equation in the following form: [9] [5] [() + ()] =. For the parameters of the Duffing equation, the above algebraic equation gives the steady state oscillation amplitude z {\displaystyle z} at a given excitation frequency.
Total harmonic distortion, or THD is a common measurement of the level of harmonic distortion present in power systems. THD can be related to either current harmonics or voltage harmonics, and it is defined as the ratio of the RMS value of all harmonics to the RMS value of the fundamental component times 100%; the DC component is neglected.
Steady state calculation methods can be sorted into time-domain algorithms (time domain sensitivities, shooting) and frequency-domain algorithms (harmonic balance) methods, are the best choice for most microwave circuits excited with sinusoidal signals (e.g. mixers, power amplifiers).
The damping ratio provides a mathematical means of expressing the level of damping in a system relative to critical damping. For a damped harmonic oscillator with mass m, damping coefficient c, and spring constant k, it can be defined as the ratio of the damping coefficient in the system's differential equation to the critical damping coefficient:
A 5-year-old child had to be disarmed by police after answering the front door holding a loaded handgun in Michigan. The child opened the front door carrying the armed weapon to a cadet who came ...
He is the first pioneer to introduce the concept of harmonic balance, [1] which is the backbone of current RF and microwave circuit simulators. He was awarded the IEEE Fellowship in 1998 [ 2 ] for his contributions to the development of advanced computer-aided design techniques for microwave circuits and high-speed interconnects.