The sectoral synchronization observed for the Japanese business cycle in the Indices of Industrial Production data is an example of synchronization. The stability of this synchronization under a shock, e.g., fluctuation of supply or demand, is a matter of interest in physics and economics. We consider an economic system made up of industry sectors and goods markets in order to analyze the sectoral synchronization observed for the Japanese business cycle. A coupled oscillator model that exhibits synchronization is developed based on the Kuramoto model with inertia by adding goods markets, and analytic solutions of the stationary state and the coupling strength are obtained. We simulate the effects on synchronization of a sectoral shock for systems with different price elasticities and the coupling strengths. Synchronization is reproduced as an equilibrium solution in a nearest neighbor graph. Analysis of the order parameters shows that the synchronization is stable for a finite elasticity, whereas the synchronization is broken and the oscillators behave like a giant oscillator with a certain frequency additional to the common frequency for zero elasticity.

The rapid growth of the share of variable renewable energy (VRE) may make it difficult to operate power systems incorporating these sources, due to fluctuations in VRE output. In this paper, we focus on the short-term fluctuations (STFs) in wind power total outputs in several balancing areas (BAs) in Japan. We propose five methods to mitigate STFs, utilizing innate functions of wind turbines that use neither battery systems nor any other additional systems or equipment. In addition, the methods suggested do not require predictions of the wind power output. The efficiency of the method was measured based on the relationship between the mitigation of STFs and associated energy loss. Historical wind power output data from three BAs in Japan (the Hokkaido, Tohoku, and Kyushu BAs) were used to conduct numerical simulations. One of the proposed methods effectively mitigated STFs in the total wind power output. The proposed approach is applicable to solar power and will help overcome challenges on the road toward 100% renewable energy. INDEX TERMS Energy system integration, maximum power point tracking, ramp rate limitation, short-term fluctuations, smoothing effect, wind power, 100% renewable energy.